Calculate the enthalpy of the following reaction: 4 B (s) + 3 O2 (g) → 2 B2O3 (s) given the following pertinent information: (A) B2O3 (s) + 3 H2O (g) → 3 O2 (g) + B2H6 (g), ΔHoA = +2035 kJ (B) 2 B (s) + 3 H2 (g) → B2H6 (g), ΔHoB = +36 kJ (C) H2 (g) + LaTeX: \frac{1}{2} 1 2 O2 (g) → H2O (l), ΔHoC = −285 kJ (D) H2O (l) → H2O (g), ΔHoD = +44 kJ

Answers

Answer 1

Answer:

4B + 3O₂ => 2B₂O₃; ΔH° = -3673Kj

Explanation:

Work these type problems in pairs of rxns… That is, add Rxn-1 & Rxn-2 => Rxn-1,2; then add Rxn-3 to Rxn-1,2 => Rxn- 1,2,3. Rxn-4 is not needed to obtain target rxn.  

Target Rxn => 4B + 3O₂ => 2B₂O₃

Given …

(1) B₂O₃ + 2H₂O => 3O₂ + B₂H₆

       => reverse and double

       => 2B₂H₆ + 6O₂ => 2B₂O₃ + 6H₂O

(2) 2B + 3H₂ => B₂H₆ => double and add to Rxn-1 => 4B + 6H₂ => 2B₂H₆

         2B₂H₆ + 6O₂ => 2B₂O₃ + 6H₂O

              4B + 6H₂ => 2B₂H₆

              ________________________

∑(1,2)    4B + 6O₂ + 6H₂ => 2B₂O₃ + 6H₂O; ΔH°₁₂ = -2035Kj + (+72Kj) = -1963Kj

(3) => H₂ + ½O₂ => H₂O

       => reverse and multiply by 6, then add to (1,2) => 6H₂O => 6H₂ + 3O₂

                           6H₂O => 6H₂ + 3O₂

           4B + 6O₂ + 6H₂ => 2B₂O₃ + 6H₂O  

   ________________________

∑[(1,2,3) 4B + 3O₂ => 2B₂O₃; ΔH°₁₂₃ = -1963Kj + 6(-285Kj) = -3673Kj


Related Questions

A 5.36–g sample of NH4Cl was added to 25.0 mL of 1.00 M NaOH and the resulting solution diluted to 0.100 L. (a) What is the pH of this buffer solution? (b) Is the solution acidic or basic? (c) What is the pH of a solution that results when 3.00 mL of 0.034 M HCl is added to the solution?

Answers

Answer:

See explanation ...

Explanation:

5.36g NH₄Cl + 25ml(1M NaOH) => (5.36g/53g) NH₄Cl + 0.025L(1M NaOH)

=> 0.101mole NH₄Cl + 0.025mole NaOH

=> (0.101mole/0.025L) NH₄Cl + (0.025mole/0.025L) NaOH

=> 4.045M NH₄Cl + 1.000M NaOH  

=> 4.045M NH₄⁺ + 4.045M Clˉ + 0.025M Na⁺ + 0.025M OHˉ

=> 0.025M NH₄OH + (4.045 – 0.025)M NH₄⁺ + 0.025M Na⁺ + 4.045M Clˉ

=> 0.025M NH₄OH + 4.02M NH₄⁺ + 0.025M Na⁺ + 4.045M Clˉ

∴0.025M NH₄OH + 4.02M NH₄⁺ is the buffer solution. 0.025M Na⁺ and 4.045M Clˉ are not reactive.  

pH of buffer solution:  

           NH₄OH    ⇄      NH₄⁺   +    OHˉ

C(i)     0.025M            4.02M         0M

ΔC          -x                      +x             +x

C(eq)  (0.025-x)M     (4.02+x)M       x

          ≅ 0.025M       ≅ 4.02M          

Kb = [NH₄⁺][OHˉ]/[NH₄OH] => [OHˉ] = Kb[NH₄OH]/[NH₄⁺]

[OHˉ] = [(1.8 x 10ˉ⁵)(0.025)/(4.02)]M = 1.12 x 10ˉ⁷

=>  pOH = -log[OHˉ] = -log(1.12 x 10ˉ⁷) = 6.95

=> pH = 14 – pOH = 14 – 6.95 =7.04 (buffer solution is neutral)

pH of buffer solution after adding 3ml of 0.034M HCl:

… moles HCl added = 0.003L(0.034M) = 1.02 x 10ˉ⁴mole

… Molarity HCl added = 1.02 x 10ˉ⁴mole/(25 + 3)ml = 1.02 x 10ˉ⁴/0.028L =3.643 x 10ˉ³M HCl

                 NH₄OH          =>              NH₄⁺    +            OHˉ

C(i)          0.025M                           4.02M          1.12 x 10ˉ⁷M ~ (0)M*

ΔC    -3.643 x 10ˉ³M             +3.643 x 10ˉ³M                  +x

C(eq)       0.0214M                       4.0236M                       x**          

*Starting concentration of OHˉ is negligible and is assumed to be zero.  

** concentration of OHˉ after adding HCl  (expect a more acidic system).

[OHˉ](new) = Kb[NH₄OH]/[NH₄⁺]

[OHˉ] = [(1.8 x 10ˉ⁵)(0.0124)/(4.0236)]M = 5.55 x 10ˉ⁸M

=>  pOH = -log[OHˉ] = -log(5.55 x 10ˉ⁸) = 7.26

=> pH = 14 – pOH = 14 – 7.26 =6.74 (solution is slightly acidic after adding acid)  => pH shifts from 7.04 to 6.74 upon addition of 3ml(0.034M HCl).

5.36g NH₄Cl + 25ml(1M NaOH) => (5.36g/53g) NH₄Cl + 0.025L(1M NaOH)

= 0.101mole NH₄Cl + 0.025mole NaOH

= (0.101mole/0.025L) NH₄Cl + (0.025mole/0.025L) NaOH

= 4.045M NH₄Cl + 1.000M NaOH  

= 4.045M NH₄⁺ + 4.045M Clˉ + 0.025M Na⁺ + 0.025M OHˉ

= 0.025M NH₄OH + (4.045 – 0.025)M NH₄⁺ + 0.025M Na⁺ + 4.045M Clˉ

= 0.025M NH₄OH + 4.02M NH₄⁺ + 0.025M Na⁺ + 4.045M Clˉ

Therefore, 0.025M NH₄OH + 4.02M NH₄⁺ is the buffer solution. 0.025M Na⁺ and 4.045M Clˉ are not reactive.  

What is a buffer solution?

This is an aqueous solution consisting of a mixture of a weak acid and it's conjugate base, or vice versa.

A. pH of buffer solution:  

          NH₄OH    ⇄      NH₄⁺   +    OHˉ

C(i)     0.025M            4.02M         0M

ΔC          -x                      +x             +x

C(eq)  (0.025-x)M     (4.02+x)M       x

       ≅ 0.025M       ≅ 4.02M          

Kb = [NH₄⁺][OHˉ]/[NH₄OH] => [OHˉ] = Kb[NH₄OH]/[NH₄⁺]

[OHˉ] = [(1.8 x 10ˉ⁵)(0.025)/(4.02)]M = 1.12 x 10ˉ⁷

=  pOH = -log[OHˉ] = -log(1.12 x 10ˉ⁷) = 6.95

B. pH = 14 – pOH = 14 – 6.95 =7.04 (buffer solution is neutral)

C. pH of buffer solution after adding 3ml of 0.034M HCl:

moles HCl added = 0.003L(0.034M) = 1.02 x 10ˉ⁴mole

Molarity HCl added = 1.02 x 10ˉ⁴mole/(25 + 3)ml = 1.02 x 10ˉ⁴/0.028L =3.643 x 10ˉ³M HCl

                NH₄OH          =>              NH₄⁺    +            OHˉ

C(i)          0.025M                           4.02M          1.12 x 10ˉ⁷M ~ (0)M*

ΔC    -3.643 x 10ˉ³M             +3.643 x 10ˉ³M                  +x

C(eq)       0.0214M                       4.0236M                       x**          

Starting concentration of OHˉ is negligible and is assumed to be zero.  

Concentration of OHˉ after adding HCl  (expect a more acidic system).

[OHˉ](new) = Kb[NH₄OH]/[NH₄⁺]

[OHˉ] = [(1.8 x 10ˉ⁵)(0.0124)/(4.0236)]M = 5.55 x 10ˉ⁸M

pOH = -log[OHˉ] = -log(5.55 x 10ˉ⁸) = 7.26

= pH = 14 – pOH = 14 – 7.26 =6.74 (solution is slightly acidic after adding acid)  => pH shifts from 7.04 to 6.74 upon addition of 3ml(0.034M HCl).

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The maximum amounts of lead and copper allowed in drinking water are 0.015 mg/kg for lead and 1.3 mg/kg for copper. Tell the maximum amount of copper (in grams) allowed in 100 g of water.

Answers

Answer:

The maximum amount of copper allowed in 100 g of water is 0.00013 g

Explanation:

To find the maximum amount of copper (in grams) allowed in 100 g of water use the maximum amount ratio (1.3 mg / kg)  and set a proportion with the unknown amount of copper (x) and the amount of water (100 g):

First, convert 100 g of water to kg: 100 g × 1 kg / 1000 g = 0.1 kg.

Now, set the proportion:

1.3 mg Cu / 1 Kg H₂O = x / 0.1 kg H₂O

Solve for x:

x = 0.1 kg H₂O × 1.3 mg Cu / 1 kg H₂O = 0.13 mg Cu

Convert mg to grams:

0.13 mg × 1 g / 1,000 mg = 0.00013 g

Answer: 0.00013 g of copper.

Final answer:

The maximum amount of copper allowed in 100g of drinking water is 0.13mg or 0.00013g.

Explanation:

The maximum allowable level of copper in drinking water, as stated, is 1.3 mg/kg. To convert this to grams per 100 g (or equivalently, mg per 100 kg), we use the same value as copper is allowed in the ratio of 1.3 mg for every kg of water. As 1 kg is the same as 1000 g, if we have 100 g of water, we simply divide by 10 to find the allowable quantity of copper.

Therefore, in 100 g of water, the maximum amount of copper allowed will be 0.13 mg or 0.00013 g.

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Nonmetals gain electrons under certain conditions to attain a noble gas electron configuration. How many electrons must be gained by the element sulfur (S)(S) to attain noble gas electron configuration? number of electrons: Which noble gas electron configuration is attained in this process? helium neon argon radon krypton xenon

Answers

1. Answer:  For sulfur to attain a noble gas configuration, it must gain TWO ELECTRONS.

EXPLANATION:

The noble gases are the only group of elements that have complete number of electrons in their outermost shells, this make them to be stable hence they don't normally participate in chemical reactions. Other elements participate in chemical reactions in order to form bonds with one another with the aim of attaining noble gas octet structure. The octet structure states that a stable element must have eight (8) electrons in its outermost shell.

The atomic number of sulfur is 16 and its electronic configuration is 2,8,6. The electronic configuration shows that sulfur has 6 electrons in its outermost shell, thus, it needs two more electron in order to have 8 electrons in its outermost shell.  

2. Answer: When sulfur gain two electrons it will attain the electronic configuration of ARGON.

EXPLANATION

Sulfur needs two electrons to attain the octet structure. When sulfur gain two electrons, the total number of electrons in its atoms will become 16 + 2, which is equal to 18 and its electronic configuration will be 2, 8, 8. The atomic number of the noble gas argon is also 18, thus, sulfur will attain the electronic structure of argon if it gains two electrons.

Answer:

Explanation:

Sulfur is a non-metal that belongs the group VI  on the periodic table. Their general valence shell configuration is ns²np⁴. This group has six electrons in their valence or outermost shell. To attain nobility, the would require eight electrons to complete their octet.

The valence shell of sulfur belongs to the L-orbital and it has a maximum capacity of eight electrons.

To complete the octet of the outermost shell, S would require two electrons from a donating or sharing atom.

If sulfur gains two electrons, it would perfectly resembles Argon(18)

The electronic configuration would be: 1S²2S²2P⁶3S²3P⁶

A 8.20 g sample of an aqueous solution of perchloric acid contains an unknown amount of the acid. If 20.4 mL of 0.922 M potassium hydroxide are required to neutralize the perchloric acid, what is the percent by mass of perchloric acid in the mixture?

Answers

Answer: The percent by mass of perchloric acid in the mixture is 22.92 %.

Explanation:

To calculate the moles of a solute, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]

We are given:

Volume of potassium hydroxide = 20.4mL = 0.0204 L   (Conversion factor: 1 L = 1000 mL)

Molarity of the solution = 0.922 moles/ L

Putting values in above equation, we get:

[tex]0.922mol/L=\frac{\text{Moles of potassium hydroxide}}{0.0204L}\\\\\text{Moles of potassium hydroxide}=0.0188mol[/tex]

For the given chemical reaction:

[tex]HClO_4+KOH\rightarrow KClO_4+H_2O[/tex]

By Stoichiometry of the reaction:

1 mole of potassium hydroxide reacts with 1 mole of perchloric acid.

So, 0.0188 moles of potassium hydroxide will react with = [tex]\frac{1}{1}\times 0.0188=0.0188mol[/tex] of perchloric acid.

To calculate the mass of perchloric acid, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Moles of perchloric acid = 0.0188 moles

Molar mass of perchloric acid = 100.46 g/mol

Putting values in above equation, we get:

[tex]0.0188mol=\frac{\text{Mass of perchloric acid}}{100.46g/mol}\\\\\text{Mass of perchloric acid}=1.88g[/tex]

To calculate the percent by mass of perchloric acid, we use the equation:

[tex]\text{Mass percent}=\frac{\text{Mass of the solute}}{\text{Mass of solution}}\times 100[/tex]

We are given:

Mass of perchloric acid = 1.88 g

Mass of solution = 8.20 g

Putting values in above equation, we get:

[tex]\text{Mass percent of perchloric acid}=\frac{1.88g}{8.20g}\times 100\\\\\text{Mass percent of perchloric acid}=22.92\%[/tex]

Hence, the percent by mass of perchloric acid in the mixture is 22.92 %.

A 5.91 g unknown sample analyzed by elemental analysis revealed a composition of 37.51 % C. In addition, it was determined that the sample contains 1.4830 × 1023 hydrogen atoms and 1.2966 × 1023 oxygen atoms. What is the empirical formula?

Answers

Answer:

C₆H₈O₇

Explanation:

1) Calculate the mass of carbon (C)

mass of C = % of C × mass of sample / 100

mass of C = 37.51% × 5.91 g / 100 = 2.21 g

2) Calculate the number of moles of C

number of moles = mass in grams / molar mass

number of moles of C = 2.21 g / 12.01 g/mol = 0.184 moles

3) Calculate the number of moles of hydrogen atoms, H:

number of moles = number of atoms / Avogadro's number

number of moles of H = 1.4830 × 10²³ / 6.022 × 10²³ = 0.24626 moles

4) Calculate the number of moles of oxygen atoms, O:

number of moles = number of atoms / Avogadro's number

number of moles of O = 1.2966 × 10²³ / 6.022 × 10²³ = 0.21531 moles

5) Find the mole ratios:

Summary of moles:

C: 0.184 molH: 0.24626 molO: 0.21531 mol

Divide every amount by the smallest number, which is 0.184:

C: 0.184 / 0.184 = 1H: 0.24626 / 0.184 = 1.34O: 0.21531 / 0.184 = 1.17

Multiply by 3 to round to integer numbers:

C:  1 × 3 = 3H: 1.34 × 3 = 4.02 ≈ 4O: 1.17 × 3 = 3.51

Multiply by 2 to round to integer numbers:

C:  3 × 2 = 6H: 4 × 2 = 8O: 3.51 × 2 ≈ 7

Use the mole ratios as superscripts to write the empirical formula

C₆H₈O₇ ← answer

Just as a reference, you can search in internet and find that one compound with that empirical formula is citric acid.

Final answer:

To find the empirical formula, convert the mass and number of atoms to moles, find the mole ratio among the elements by dividing by the smallest number of moles, and then use multipliers to reach whole numbers. The empirical formula for the compound in the question is approximately C3H4O3.

Explanation:

To determine the empirical formula of the unknown sample, we must first convert the given percentages and number of atoms to moles. The sample contains 37.51% carbon, which means there are 2.22 g of carbon in the 5.91 g sample. Using the molar mass of carbon (12.01 g/mol), we calculate the moles of carbon:

2.22g C × (1 mol C / 12.01 g C) = 0.185 moles C

Next, we find the moles of hydrogen, given that there are 1.4830 × 1023 hydrogen atoms. Since 1 mole of any substance contains Avogadro's number of atoms (6.022 × 1023), we have:

1.4830 × 1023 atoms H × (1 mol H / 6.022 × 1023 atoms H) = 0.246 moles H

Similarly, for oxygen atoms, there are 1.2966 × 1023 oxygen atoms:

1.2966 × 1023 atoms O × (1 mol O / 6.022 × 1023 atoms O) = 0.215 moles O

With the moles of each element known, we can now find the mole ratio to get the empirical formula by dividing each element's moles by the smallest amount of moles present among the elements.

Smallest moles = 0.185 moles C

Mole ratio of carbon: 0.185 moles C / 0.185 = 1Mole ratio of hydrogen: 0.246 moles H / 0.185 = 1.33Mole ratio of oxygen: 0.215 moles O / 0.185 = 1.16

To get whole number ratios, we multiply each mole ratio by a common factor to reach the smallest whole numbers which, in this case, is approximately 3 (since 1.33 is close to 4/3 and 1.16 is close to 1, we select 3 as a multiplier to approximate hydrogen as 4 and oxygen as 1).

Mole ratio of carbon: 1 × 3 = 3Mole ratio of hydrogen: 1.33 × 3 ≈ 4Mole ratio of oxygen: 1.16 × 3 ≈ 3

The empirical formula for this compound is approximately C3H4O3.

A balloon is filled with a gas to a certain volume at a certain pressure at 0.987°C. If the pressure exerted on the balloon is doubled, what must the temperature (in °C) be to keep the balloon inflated at the same volume?

Answers

Answer:

275. °C

Explanation:

1) Data:

a) Constant volume

b) Initial pressure: P₀

c) Intitial temperature: T₀ = 0.987°C = 0.987 + 273.15 K = 274.137 K

d) Final pressure: P₁ = 2 P₀

e) Final temperature: unknown, T₁

2) Applied principles:

Gay - Lussac's law: at constant volume, the pressure and temperature of the gases are in direct proportion:

        ⇒ P / T = constante ⇒ P₁ / T₁ = P₀ / T₀

3) Solution:

a) Solve for T₁

T₁ = P₁ T₀ / P₀

b) Substitute the data:

T₁ = 2P₀ × 274.137 K / P₀ = 548.274 K

c) Converto to °C:

T₁ = 548.274 - 273.15 = 275.124 °C ≈ 275. °C (three significant figures)
Final answer:

To keep a balloon inflated at the same volume when the pressure exerted on it is doubled, the temperature must be increased according to Gay-Lussac's Law. After performing the necessary calculations, we found that the new required temperature should be approximately 275.124°C.

Explanation:

This question relates to Gas Laws, specifically Gay-Lussac's Law, which states that the pressure of a gas is directly proportional to its temperature, assuming the volume stays constant. In this scenario, we need to work out the new temperature when the initial pressure is doubled.

First, let's convert the initial temperature from Celsius to Kelvin. Kelvin = Celsius + 273.15, so, 0.987°C = 274.137K.

According to Gay-Lussac's Law (P₁/T₁ = P₂/T₂ where P is pressure and T is temperature), if P2 = 2*P1 then the new temperature T₂ = 2× T₁, as the volume remains constant.

So, T₂ (in Kelvin) = 2 × T₁ = 2 × 274.137K = 548.274K

To convert T2 back to Celsius, we subtract 273.15 from the Kelvin temperature: T₂ (in Celsius) = 548.274K - 273.15 = 275.124°C.

So, if the pressure exerted on the balloon is doubled, the temperature needs to be approximately 275.124°C to keep the balloon inflated at the same volume.

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Which pair of elements is most apt to form a molecular compound with each other? (a) sulfur, fluorine (b) potassium, lithium (c) aluminum, oxygen (d) barium, bromine (e) magnesium, iodine

Answers

Answer: Option (a) is the correct answer.

Explanation:

When atoms which are chemically combine to each other through sharing of electrons, that is, forming covalent bonds with each other then the compound formed is known as a molecular compound.

For example, [tex]SF_{6}[/tex] is a molecular compound.

Generally, non-metals lead to the formation of molecular compounds.

On the other hand, when an electron is transferred from one atom to another then compound formed is known as ionic compound.

For example, [tex]Al_{2}O_{3}[/tex] is an ionic compound.

Generally, metals and no-metals on chemically combining together leads to the formation of ionic compounds.

Thus, we can conclude that sulfur, fluorine is the pair of elements which is most apt to form a molecular compound with each other.

The pair of elements that is most apt to form a molecular compound with each other is sulfur and fluorine.

A molecular compound is formed between two nonmetals. Molecular compounds have a covalent bond between the atoms in the compound.

If we look at the options listed, the only group that contains two nonmetals is  (a) sulfur, fluorine.

These two elements form a molecular compound.

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Give the theoretical yield, in grams, of CO2 from the reaction of 4.000 moles of C8H18 with 4.000 moles of 02 2 C8H18 25 02 16 CO2+ 18 H20

Answers

Answer : The theoretical yield of [tex]CO_2[/tex] is, 112.64 grams.

Explanation : Given,

Given moles of [tex]C_8H_{18}[/tex] = 4 moles

Given moles of [tex]O_2[/tex] = 4 moles

Molar mass of [tex]CO_2[/tex] = 44 g/mole

First we have to calculate the limiting and excess reagent.

The balanced chemical reaction is,

[tex]2C_8H_{18}+25O_2\rightarrow 16CO_2+18H_2O[/tex]

From the given balanced reaction, we conclude that

As, 25 moles of [tex]O_2[/tex] react with 2 moles of [tex]C_8H_{18}[/tex]

So, 4 moles of [tex]O_2[/tex] react with [tex]\frac{2}{25}\times 4=0.32[/tex] moles of [tex]C_8H_{18}[/tex]

From this we conclude that, [tex]C_8H_{18}[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]O_2[/tex] is a limiting reagent because it limits the formation of product.

Now we have to calculate the moles of [tex]CO_2[/tex].

As, 25 moles of [tex]O_2[/tex] react to give 16 moles of [tex]CO_2[/tex]

So, 4 moles of [tex]O_2[/tex] react to give [tex]\frac{16}{25}\times 4=2.56[/tex] moles of [tex]CO_2[/tex]

Now we have to calculate the mass of [tex]CO_2[/tex].

[tex]\text{Mass of }CO_2=\text{Moles of }CO_2\times \text{Molar mass of }CO_2[/tex]

[tex]\text{Mass of }CO_2=(2.56mole)\times (44g/mole)=112.64g[/tex]

Therefore, the theoretical yield of [tex]CO_2[/tex] is, 112.64 grams.

Determine the theoretical yield of HCl if 60.0 g of BC13 and 37.5 g of H20 are reacted according to the following balanced reaction. A possibly useful molar mass is BC13 117.16 g/mol. BC13(g)+3 H20(1) -- H3BO3(s)+3 HC1(g)

Answers

Answer : The theoretical yield of HCl is, 56.1735 grams

Explanation : Given,

Mass of [tex]BCl_3[/tex] = 60 g

Mass of [tex]H_2O[/tex] = 37.5 g

Molar mass of [tex]BCl_3[/tex] = 117 g/mole

Molar mass of [tex]H_2O[/tex] = 18 g/mole

Molar mass of [tex]HCl[/tex] = 36.5 g/mole

First we have to calculate the moles of [tex]BCl_3[/tex] and [tex]H_2O[/tex].

[tex]\text{Moles of }BCl_3=\frac{\text{Mass of }BCl_3}{\text{Molar mass of }BCl_3}=\frac{60g}{117g/mole}=0.513moles[/tex]

[tex]\text{Moles of }H_2O=\frac{\text{Mass of }H_2O}{\text{Molar mass of }H_2O}=\frac{37.5g}{18g/mole}=2.083moles[/tex]

Now we have to calculate the limiting and excess reagent.

The balanced chemical reaction is,

[tex]BCl_3(g)+3H_2O(l)\rightarrow H_3BO_3(s)+3HCl(g)[/tex]

From the balanced reaction we conclude that

As, 1 mole of [tex]BCl_3[/tex] react with 3 mole of [tex]H_2O[/tex]

So, 0.513 moles of [tex]BCl_3[/tex] react with [tex]3\times 0.513=1.539[/tex] moles of [tex]H_2O[/tex]

From this we conclude that, [tex]H_2O[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]BCl_3[/tex] is a limiting reagent and it limits the formation of product.

Now we have to calculate the moles of [tex]HCl[/tex].

As, 1 mole of [tex]BCl_3[/tex] react to give 3 moles of [tex]HCl[/tex]

So, 0.513 moles of [tex]BCl_3[/tex] react to give [tex]3\times 0.513=1.539[/tex] moles of [tex]HCl[/tex]

Now we have to calculate the mass of [tex]HCl[/tex].

[tex]\text{Mass of }HCl=\text{Moles of }HCl\times \text{Molar mass of }HCl[/tex]

[tex]\text{Mass of }HCl=(1.539mole)\times (36.5g/mole)=56.1735g[/tex]

Therefore, the theoretical yield of HCl is, 56.1735 grams

The balanced equation for the reaction of aqueous Pb(ClO3)2 with aqueous NaI is Pb(ClO3)2(aq)+2NaI(aq)⟶PbI2(s)+2NaClO3(aq) What mass of precipitate will form if 1.50 L of concentrated Pb(ClO3)2 is mixed with 0.200 L of 0.210 M NaI? Assume the reaction goes to completion. mass of precipitate:

Answers

Answer : The mass of [tex]PbI_2[/tex] precipitate produced will be, 9.681 grams.

Explanation : Given,

Molarity of NaI = 0.210 M

Volume of solution = 0.2 L

Molar mass of [tex]PbI_2[/tex] = 461.01 g/mole

First we have to calculate the moles of [tex]NaI[/tex].

[tex]\text{Moles of }NaI=\text{Molarity of }NaI\times \text{Volume of solution}=0.210M\times 0.2L=0.042moles[/tex]

Now we have to calculate the moles of [tex]PbI_2[/tex].

The balanced chemical reaction is,

[tex]Pb(ClO_3)_2(aq)+2NaI(aq)\rightarrow PbI_2(s)+2NaClO_3(aq)[/tex]

From the balanced reaction we conclude that

As, 2 moles of [tex]NaI[/tex] react to give 1 mole of [tex]PbI_2[/tex]

So, 0.042 moles of [tex]NaI[/tex] react to give [tex]\frac{0.042}{2}=0.021[/tex] moles of [tex]PbI_2[/tex]

Now we have to calculate the mass of [tex]PbI_2[/tex].

[tex]\text{Mass of }PbI_2=\text{Moles of }PbI_2\times \text{Molar mass of }PbI_2[/tex]

[tex]\text{Mass of }PbI_2=(0.021mole)\times (461.01g/mole)=9.681g[/tex]

Therefore, the mass of [tex]PbI_2[/tex] precipitate produced will be, 9.681 grams.

Final answer:

The balanced equation for the reaction is Pb(ClO3)2(aq) + 2NaI(aq) -> PbI2(s) + 2NaClO3(aq). Using stoichiometry and the molar mass of PbI2, we calculate the mass of the precipitate (PbI2) when 1.50 L of concentrated Pb(ClO3)2 is mixed with 0.200 L of 0.210 M NaI.

Explanation:

The balanced equation for your reaction is Pb(ClO3)2(aq) + 2NaI(aq) -> PbI2(s) + 2NaClO3(aq). Lead iodide (PbI2) is the precipitate formed in the reaction. Using stoichiometry, the molar ratio between Pb(ClO3)2 and PbI2 is 1:1 which means for each mole of Pb(ClO3)2, we get one mole of PbI2. So, the first step is to determine the number of moles in 1.50 L of concentrated Pb(ClO3)2 and 0.200 L of 0.210 M NaI. The reaction is expected to go to completion which means that all the reactants would be used up and the limiting reactant will determine the amount of the precipitate formed. In this reaction, NaI is the limiting reactant. Once you know the number of moles of the limiting reactant, you can determine the mass of the precipitate using the molar mass of PbI2.

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Draw the Lewis structure of PH3. To add lone pairs, click the button before clicking on the molecule. Draw the molecule by placing atoms on the grid and connecting them with bonds. Include lone pairs of electrons and hydrogen atoms. View Available Hint(s)

Answers

The Lewis structure of PH₃ is attached to the image below. Phosphine (PH3) consists of a phosphorus atom bonded to three hydrogen atoms.

In the Lewis structure of PH₃, the central phosphorus atom (P) is surrounded by three hydrogen atoms (H). The phosphorus atom has five valence electrons, and each hydrogen atom contributes one valence electron, resulting in a total of eight valence electrons in the structure.

In the lewis structure, each line represents a single bond, and the two dots around the phosphorus atom represent the lone pair of electrons.

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The reaction below is allowed to come to equilibrium. After equilibrium is reached, the temperature of the container is raised by 50ºC. Which statement below describes a change that will be observed as the system returns to an equilibrium state at the new temperature if ΔH is positive?

2 NH3(g) ⇄ N2(g) + 3 H2(g)

a. The concentration of ammonia, NH3, will increase.
b. The concentration of nitrogen gas, N2, will decrease.
c. The rate of the forward reaction will increase.
d. There will be no change; increasing the temperature will not change the position of equilibrium.

Answers

Answer: c. The rate of the forward reaction will increase.

Explanation:

Any change in the equilibrium is studied on the basis of Le-Chatelier's principle.

This principle states that if there is any change in the variables of the reaction, the equilibrium will shift in the direction to minimize the effect.

For the given equation:

[tex]2NH_3(g)\rightleftharpoons N_2(g)+3H_2(g)[/tex]  [tex]\Delta H=+ve[/tex]

This is a type of Endothermic reaction because heat is absorbed in the reaction.

When the temperature  is increased, according to the Le-Chatlier's principle, the equilibrium will shift in the direction where decrease in temperature occurs. As, this is an endothermic reaction, forward reaction will decrease the temperature. Hence, the equilibrium will shift in the right or forward direction.

Final answer:

In the given endothermic reaction, increasing the temperature will cause the system to adjust according to Le Châtelier's Principle. This means the system will favor the direction of the reaction that absorbs heat, causing the rate of the forward reaction to increase.

Explanation:

In the given reaction where ΔH is positive, the reaction is endothermic meaning it absorbs heat. When the temperature of the system is raised, the system will try to counteract that change in order to reach a new equilibrium. According to Le Châtelier's Principle, the system will favor the direction of reaction that absorbs heat. In this case, the forward reaction of 2 NH3(g) becoming N2(g) + 3 H2(g) is endothermic, thus the rate of the forward reaction will increase to absorb the added heat and reach a new equilibrium.

So, the correct answer is: c. The rate of the forward reaction will increase.

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A 51.24-g sample of Ba(OH)2 is dissolved in enough water to make 1.20 L of solution. How many milliliters of this solution must be diluted with water in order to make 1.00 L of 0.100 M Ba(OH)2?

Answers

Final answer:

To produce 1.00 L of 0.100 M Ba(OH)2, 401 mL of the original Ba(OH)2 solution should be diluted with water. This was calculated using the dilution equation M1V1 = M2V2.

Explanation:

First, let's calculate the molarity of the Ba(OH)2 solution. The formula weight of Ba(OH)2 is 171.34 g/mol, so the given 51.24 g is 0.299 moles.

The solution volume is 1.20 L, so the solution's original molarity (M1) is 0.299 mol/1.20 L = 0.249 M. Using the dilution equation M1V1 = M2V2, where M2 (final molarity) is 0.100 M and V2 (final volume) is 1.00 L, the volume of the original solution (V1) needed is V1 = (M2V2)/M1 = (0.100 M * 1.00 L) / 0.249 M = 0.401 L or 401 mL.

Therefore, 401 mL of the original Ba(OH)2 solution must be diluted with water to produce 1.00 L of 0.100 M Ba(OH)2.

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Final answer:

To calculate the volume of solution needed to make 1.00 L of 0.100 M Ba(OH)2, we can use the equation (initial concentration) x (initial volume) = (final concentration) x (final volume). First, calculate the moles of Ba(OH)2 from the given mass. Next, find the initial volume of the Ba(OH)2 solution using its concentration. Finally, use the equation to find the final volume of the diluted solution.

Explanation:

To calculate how many milliliters of the Ba(OH)2 solution must be diluted with water to make 1.00 L of 0.100 M Ba(OH)2, we can use the equation: (initial concentration) x (initial volume) = (final concentration) x (final volume). First, we convert the given mass of Ba(OH)2 into moles using the molar mass. Then, we calculate the initial volume of the Ba(OH)2 solution using its concentration. Finally, we use the equation to find the final volume of the diluted solution.

Given:

Mass of Ba(OH)2 = 51.24 gVolume of Ba(OH)2 solution = 1.20 LFinal volume of diluted solution = 1.00 LFinal concentration of Ba(OH)2 = 0.100 M

First, calculate the moles of Ba(OH)2:

Moles of Ba(OH)2 = (mass of Ba(OH)2) / (molar mass of Ba(OH)2)

Next, calculate the initial volume of the Ba(OH)2 solution:

Initial volume of Ba(OH)2 solution = (moles of Ba(OH)2) / (concentration of Ba(OH)2)

Finally, use the equation (initial concentration) x (initial volume) = (final concentration) x (final volume) to find the final volume of the diluted solution:

Final volume of diluted solution = (final concentration of Ba(OH)2 x final volume of diluted solution) / (initial concentration of Ba(OH)2)

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Each of the following reactions is allowed to come to equilibrium and then the volume is changed as indicated. Predict the effect (shift right, shift left, or no effect) of the indicated volume change.

CO(g) + H2O(g) <=> CO2(g) + H2(g)
(volume is decreased)


PCl3(g) + Cl2(g) <=> PCl5(g)
(volume is increased)


CaCO3(s)<=> CaO(s) + CO2(g)
(volume is increased)

Answers

Answer:

CO(g) + H₂O(g) <=> CO₂(g) + H₂(g), (volume is decreased) .. No effect.

PCl₃(g) + Cl₂(g) <=> PCl₅(g) , (volume is increased)               .. Shift left.

CaCO₃(s) <=> CaO(s) + CO₂(g) , (volume is increased)         .. Shift right.

Explanation:

Le Châtelier's principle states that when there is an dynamic equilibrium, and this equilibrium is disturbed by an external factor, the equilibrium will be shifted in the direction that can cancel the effect of the external factor to reattain the equilibrium.

CO(g) + H₂O(g) <=> CO₂(g) + H₂(g)            (volume is decreased)

When volume is decreased, the pressure will increase:When there is an increase in pressure, the equilibrium will shift towards the side with fewer moles of gas of the reaction. And when there is a decrease in pressure, the equilibrium will shift towards the side with more moles of gas of the reaction.The reactants side (left) has 2.0 moles of gases and the products side (right) has 2.0 moles of gases.

So, decreasing the volume will have no effect on the reaction.

PCl₃(g) + Cl₂(g) <=> PCl₅(g) , (volume is increased)

When volume is increased, the pressure will decrease:When there is an decrease in pressure, the equilibrium will shift towards the side with more moles of gas of the reaction. The reactants side (left) has 2.0 moles of gases and the products side (right) has 1.0 mole of gases.So, decreasing the pressure will shift the reaction to the side with more moles of gas (left side).

so, increasing the volume will shift the reaction left.

CaCO₃(s) <=> CaO(s) + CO₂(g) , (volume is increased)

When volume is increased, the pressure will decrease:When there is an decrease in pressure, the equilibrium will shift towards the side with more moles of gas of the reaction. The reactants side (left) has 0 moles of gases and the products side (right) has 1.0 mole of gases.So, decreasing the pressure will shift the reaction to the side with more moles of gas (right side).

so, increasing the volume will shift the reaction right.

Pressure cookers allow food to cook faster because the higher pressure inside the pressure cooker increases the boiling temperature of water. A particular pressure cooker has a safety valve that is set to vent steam if the pressure exceeds 3.4 atm. What is the approximate maximum temperature

Answers

Answer:

[tex]\boxed{\text{139 $\, ^{\circ}$C}}[/tex]

Explanation:

The question is asking, "At what temperature does the vapour pressure of water equal 3.4 atm?"

To answer this question, we can use the Clausius-Clapeyron equation:

[tex]\ln \left (\dfrac{p_{2}}{p_{1}} \right) = \dfrac{\Delta_{\text{vap}}H}{R} \left(\dfrac{1 }{ T_{1} } - \dfrac{1}{T_{2}} \right)[/tex]

Data:

p₁ = 1 atm;    T₁ = 373.15C

p₂ = 3.4atm; T₂ = ?

R  = 8.314 J·K⁻¹mol⁻¹

[tex]\Delta_{\text{vap}}H = \text{39.67 kJ//mol}[/tex]

(The enthalpy of vaporization changes with temperature. Your value may differ from the one I chose.)

Calculation:

[tex]\begin{array}{rcl}\ln \left (\dfrac{p_{2}}{p_{1}} \right)& = & \dfrac{\Delta_{\text{vap}}H}{R} \left( \dfrac{1}{T_{1}} - \dfrac{1}{T_{2}} \right)\\\\\ln \left (\dfrac{3.4}{1} \right)& = & \dfrac{39670}{8.314} \left(\dfrac{1 }{ 373.15 } - \dfrac{1}{T_{2}} \right)\\\\\ln3.4 & = & 4771 \left(\dfrac{1 }{ 373.15 } - \dfrac{1}{T_{2}} \right)\\\\1.224 & = & 12.78 - \dfrac{4771}{T_{2}}\\\\\dfrac{4771}{T_{2}} & = & 11.56\\\\\end{array}[/tex]

[tex]T_{2} & = & \dfrac{4771}{11.56} = \text{412.6 K} = \textbf{139 $\, ^{\circ}$C}\\\\\text{The maximum temperature is } \boxed{\textbf{139 $\, ^{\circ}$C}}[/tex]

Final answer:

The approximate maximum temperature inside the pressure cooker with the safety valve set at 3.4 atm would be 138°C.

Explanation:

Pressure cookers increase the boiling temperature of water by creating higher pressure inside the cooker. This allows food to cook faster. In the case of the particular pressure cooker mentioned with the safety valve set to vent steam if the pressure exceeds 3.4 atm the approximate maximum temperature would be the boiling temperature of water at that pressure.

According to the phase diagram for water the boiling temperature of water at 3.4 atm is approximately 138°C. Therefore the approximate maximum temperature inside the pressure cooker with the safety valve set at 3.4 atm would be 138°C.

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Consider the reduction reactions and their equilibrium constants. Cu+(aq)+e−↽−−⇀Cu(s)Pb2+(aq)+2e−↽−−⇀Pb(s)Fe3+(aq)+3e−↽−−⇀Fe(s)????????????=6.2×108=4.0×10−5=9.3×10−3 Cu + ( aq ) + e − ↽ − − ⇀ Cu ( s ) K =6.2× 10 8 Pb 2 + ( aq ) +2 e − ↽ − − ⇀ Pb ( s ) K =4.0× 10 − 5 Fe 3 + ( aq ) +3 e − ↽ − − ⇀ Fe ( s ) K =9.3× 10 − 3 Arrange these ions from strongest to weakest oxidizing agent.

Answers

Answer:

Cu + Fe 3  Pb 2 +

Explanation:

the most reactive metal is the strongest reducing agent but weakest oxidizing agent. And therefore copper being the least  reactive turns to be the strongest oxidizing agent followed by iron then lead.

If the vapor pressure of an aqueous solution containing 6.00 moles of a nonvolatile solute has a vapor pressure of 19.8 torr, and given that the vapor pressure of water at room temperature is 23.7 torr, how many total moles are present in solution?

Answers

Answer:

36.4 moles

Explanation:

This is a problem where a solute is added to water and this then decreases the vapor pressure of the water from what it was when it was pure.  The amount it will decrease the vapor pressure is directly related to the mole fraction of the solute (or put another way, the mole fraction of the water).

mole fraction of water x vapor pressure of water = vapor pressure of solution.  In equation form it is ...

Psolution = Xsolvent x P0solvent

We can solve for Xsolvent which is the mole fraction of the water.

Xsolvent = Psolution/Posolvent

Xsolvent = 19.8 torr/23.7 torr = 0.835

Since there are 6.00 moles of solute, we can find total moles present in solution.

x moles water/6.00 moles solute + x moles water = 0.835

x = 30.4 moles of water

Total moles present in solution = 6.00 moles + 30.4 moles = 36.4 moles

Final answer:

The total moles in the solution can be determined using Raoult's Law. After calculating the mole fraction of water based on the vapor pressures, this fraction is related to the moles of solute to find the total moles in solution, which is approximately 36.45 moles.

Explanation:

To find the total moles in the aquatic solution, we use Raoult's Law, which states that the vapor pressure of a solution is directly proportional to the mole fraction of solvent present. We start with the provided vapor pressures: 19.8 torr for the solution and 23.7 torr for pure water. Using the formula P₂ = X₂ * P°₂, where P₂ is the vapor pressure of the solvent in the solution, P°₂ is the vapor pressure of the pure solvent, and X₂ is the mole fraction of the solvent, we can first solve for X₂.

X₂ = P₂ / P°₂ = 19.8 torr / 23.7 torr = 0.8354 (mole fraction of water). Since there are 6.00 moles of solute, the mole fraction of solute X₁ is 1 - X₂ = 0.1646. The mole fraction is a ratio of moles of one component over total moles, so if we let x be the total moles, X₁ = 6.00 moles / x moles. Setting these equal and solving for x gives us x = 6.00 moles / 0.1646 = 36.45 moles as the total amount present in solution.

Thus, there are approximately 36.45 moles in the solution comprising of water and the nonvolatile solute.

you are experimenting with a radioactive sample of polonium at the en of 14.0 minutes exactly 1/16 of the polonium remains. what is the corresponding halflife of polonium

Answers

Answer:

t(1/2) = 3.5 min

Explanation:

From A = A₀e⁻ᵏᵗ => k = ln(A/A₀)/-t = [ln(1/16)/-14]min⁻¹ = 0.198 min ⁻¹

=> t(1/2) = 0.693/k = (0.693/0.198)min = 3.5min

The half-life of the polonium is  3.5 minutes. This can be determined by radioactive decay.

Given information,

Final amount = 1/16

Initial amount = 1

Time elapsed = 14 minutes

Radioactive decay: N = N₀ × (1/2)^(t / T)

Where:

N = Final amount of the radioactive substance

N₀ = Initial amount of the radioactive substance

t = Time elapsed

T = Half-life of the radioactive substance

1/16 = 1 × (1/2)^(14.0 / T)

(1/2)⁴ = (1/2)^(14.0 / T)

Since the base (1/2) is the same on both sides, exponents can be equated:

4 = 14.0 / T

T = 14.0 / 4

T = 3.5 minutes

Therefore, the corresponding half-life of polonium is 3.5 minutes.

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Describe the difference between a. a hypothesis and a theory and b. an observation and an experiment.

Answers

Hello There!

A "THEORY" summarizes a hypothesis or in some cases summarizes a group of hypotheses that have been supported with repeated testing.

A "HYPOTHESIS" is a proposed explanation that usually happens before testing when you have limited evidence.

____________________________________________________________

It is the act of conducting a test or investigation. "EXPERIMENT"

It is the act of recording an object in action. "OBSERVATION"

Calculate the molarity of each of the following solutions. Part A) 0.12 mol of LiNO3 in 5.5 L of solution Part B) 60.7 g C2H6O in 2.48 L of solution Part C) 14.2 mg KI in 100 mL of solution

Answers

Answer:

For A: The molarity of solution is 0.218 M.

For B: The molarity of solution is 0.532 M.

For C: The molarity of solution is [tex]8.552\times 10^{-4}M[/tex]

Explanation:

Molarity is defined as the number of moles present in one liter of solution.

Mathematically,

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]

Or,

[tex]\text{Molarity of the solution}=\frac{\text{Mass of solute}\times 1000}{\text{Molar mass of solute}\times \text{Volume of solution (in mL)}}[/tex]

For A: 0.12 mol of [tex]LiNO_3[/tex] in 5.5 L of solution

We are given:

Moles of [tex]LiNO_3[/tex] = 0.12 moles

Volume of the solution = 5.5 L

Putting values in above equation, we get:

[tex]\text{Molarity of }LiNO_3=\frac{0.12}{5.5L}\\\\\text{Molarity of }LiNO_3}=0.0218M[/tex]

Hence, the molarity of solution is 0.0218 M.

For B: 60.7 g [tex]C_2H_6O[/tex] in 2.48 L of solution

We are given:

Given mass of [tex]C_2H_6O[/tex] = 60.7 g

Molar mass of [tex]C_2H_6O[/tex] = 46 g/mol

Volume of the solution = 2.48 L

Putting values in above equation, we get:

[tex]\text{Molarity of }C_2H_6O=\frac{60.7g}{46g/mol\times 5.5L}\\\\\text{Molarity of }C_2H_6O}=0.532M[/tex]

Hence, the molarity of solution is 0.532 M.

For C: 14.2 mg KI in 100 mL of solution

We are given:

Given mass of KI = 14.2 mg = [tex]14.2\times 10^{-3}g[/tex]     (Conversion factor: [tex]1mg=10^{-3}g[/tex]

Molar mass of KI = 166 g/mol

Volume of the solution = 100 L

Putting values in above equation, we get:

[tex]\text{Molarity of KI}=\frac{14.2\times 10^{-3}g\times 1000}{166g/mol\times 100mL}\\\\\text{Molarity of KI}=8.552\times 10^{-4}M[/tex]

Hence, the molarity of solution is [tex]8.552\times 10^{-4}M[/tex]

This problem has been solved!See the answerWhen 282. g of glycine (C2H5NO2) are dissolved in 950. g of a certain mystery liquid X, the freezing point of the solution is 8.2C lower than the freezing point of pure X. On the other hand, when 282. g of sodium chloride are dissolved in the same mass of X, the freezing point of the solution is 20.0C lower than the freezing point of pure X. Calculate the van't Hoff factor for sodium chloride in X.

Answers

Answer:

The van't Hoff factor for sodium chloride in X is 1.9 .

Explanation:

Mass of liquid x = 950 g = 0.950 kg

When 282 g of glycine are dissolved in 950 g of a certain mystery liquid X.

Depression in freezing point of the solution [tex]\Delta T_f= 8.2^oC[/tex]

Molality of the solution = m

The van't Hoff factor for glycine (non ionic) in liquid X= i =1

[tex]m=\frac{282 g}{75.07 g/mol\times 0.950 kg}=3.9542 mol/kg[/tex]

[tex]\Delta T_f=i\times K_f\times m[/tex]

[tex]8.2^oC=1\times K_f\times 3.9542 mol/kg[/tex]

The value of molal depression constant for liquid X:

[tex]K_f=2.0737 ^oC kg/mol[/tex]..(1)

Now 282. g of sodium chloride are dissolved in the same mass of X.

Depression in freezing point of the NaCl solution [tex]\Delta T_f'= 20.0^oC[/tex]

Molality of the NaCl solution = m'

The van't Hoff factor for NaCl(ionic) in liquid X= i'

[tex]m'=\frac{282 g}{58.5 g/mol\times 0.950 kg}=5.0742 mol/kg[/tex]

[tex]\Delta T_f'=i'\times K_f\times m'[/tex]

[tex]20.0^oC=i'\times 2.0737 ^oC kg/mol\times 5.0742 mol/kg[/tex]

i = 1.9007 ≈ 1.9

The van't Hoff factor for sodium chloride in X is 1.9 .

Cumulative problem. Consider the following balanced chemical reaction. How many liters of bromine gas (Bra) at 300 C and 735 torr are formed when 275 g of sodium bromide reacts with 176 g of sodium bromate (NaBrO)? (Hint! Find your limiting reactant... 5 NaBr(aq)+ NaBrO,(aq)+3 H,So(aq)3 Bralg)+3 Na,Sos(aq)+3 HOU)

Answers

Answer:

78.87 liters of bromine gas at 300 °C and 735 Torr are formed.

Explanation:

[tex]5NaBr+NaBrO_3 +3H_2SO_4\rightarrow

3Br_2+3Na_2SO_4+3H_2O

[/tex]

Moles of sodium bromide = [tex]\frac{275 g}{103 g/mol}=2.6699 mol[/tex]

Moles of sodium bromate =[tex]\frac{176 g}{151 g/mol}=1.1655 mol[/tex]

According to reaction , 1 mol of sodium bromate  reacts with 5 moles of sodium bromide.  Then 1.1655 mol of sodium bromate will react with:

[tex]\frac{5}{1}\times 1.1655 mol=5.8278 mol[/tex] of sodium bromide.

This means that sodium bromide is in limiting amount the amount of  bromine gas depends upon sodium bromide.

According to reaction 5 moles of sodium bromide gives 3 moles of bromine gas.

Then 2.6699 moles of sodium bromide will give:

[tex]\frac{3}{5}\times 2.6699 mol=1.60194 mol[/tex] of bromine gas

Volume occupied by bromine gas at 300 °C and 735 Torr.

Pressure of the gas = P =735 Torr = 0.9555 atm

Temperature of the gas = T = 300°C = 573 K

n = 1.60194 mol

[tex]PV=nRT[/tex]

[tex]V=\frac{1.60194 mol\times 0.0821 atm L/ mol K\times 573 K}{0.9555atm}[/tex]

V = 78.87 L

78.87 liters of bromine gas at 300 °C and 735 Torr are formed.

A tank contains 240 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

Answers

Answer:

[tex]\boxed{240 - 230e^{-\frac{t}{40}}}[/tex]

Explanation:

[tex]\text{Let A = mass of salt after t min}\\\text{and }r_{i} = \text{rate of salt coming into talk}\\\text{and }r_{o}$ =\text{rate of salt going out of tank}[/tex]

1. Set up an expression for the rate of change of salt concentration.

[tex]\dfrac{\text{d}A}{\text{d}t} = r_{i} - r_{o}\\\\r_{i} = \dfrac{\text{6 L}}{\text{1 min}} \times \dfrac{\text{1 g}}{\text{1 L}} = \text{6 g/min}\\\\r_{o} = \dfrac{\text{6 L}}{\text{1 min}} \times \dfrac {A\text{ g}}{\text{240 L}} =\dfrac{x}{40}\text{ g/min}\\\\\dfrac{\text{d}A}{\text{d}t} = 6 - \dfrac{x}{40}[/tex]

2. Integrate the expression

[tex]\dfrac{\text{d}A}{\text{d}t} = \dfrac{240 - x}{40}\\\\\dfrac{\text{d}A}{240 - A} = \dfrac{\text{d}t}{40}\\\\\int \frac{\text{d}A}{240 - A} = \int \frac{\text{d}t}{40}\\\\-\ln |240 - A| = \frac{t}{40} + C[/tex]

3. Find the constant of integration

[tex]-\ln |240 - A| = \frac{t}{40} + C\\\\\text{At $t$ = 0, $A$ = 10, so}\\\\-\ln |240 - 10| = \frac{0}{40} + C\\\\C = -\ln 230[/tex]

4. Solve for A as a function of time.

[tex]\text{The integrated rate expression is}-\ln |240 - A| = \frac{t}{40} - \ln 230\\\\\text{Solve for } A\\\\\ln|240 - A| = \ln 230 - \frac{t}{40}\\\\|240 - A| = 230e^{-\frac{t}{40}}\\\\240 - A = \pm 230e^{-\frac{t}{40}}\\\\x = 240 \pm 230e^{-\frac{t}{40}}\\\\A(0) = 10 \text{ so we choose the negative sign}\\\\x = \boxed{\mathbf{240 - 230e^{-\frac{t}{40}}}}[/tex]

The diagram shows A as a function of time. The mass of salt in the tank starts at 10 g and increases asymptotically to 240 g.

For The Reaction CH3COOH ---> CH3COO- + H+, which of the following statements is true? A.) Ch3COOH is a Bronsted Lowry base. B.) CH3COO- is a Bronsted Lowry base. C.) Ch3COO- is a conjugate base. D.) CH3COO- is an Arrhenius base.

Answers

Answer: Option (C) is the correct answer.

Explanation:

According to Arrhenius, bases are the species which when dissolved in water will give hydroxide ions, that is, [tex]OH^{-}[/tex].

For example, [tex]NaOH + H_{2}O \rightarrow Na^{+} + OH^{-}[/tex]

Arrhenius acids are the species which when dissolved in water will give hydrogen ions, that is, [tex]H^{+}[/tex].

For example, [tex]CH_{3}COOH + H_{2}O \rightleftharpoons H_{3}O^{+} + CH_{3}COO^{-}[/tex]

In water, when an acid loses a hydrogen ion then the specie formed is known as conjugate base.

Here, [tex]CH_{3}COO^{-}[/tex] is the conjugate base of [tex]CH_{3}COOH[/tex].

Similarly, species which accept the hydrogen ion result in the formation of conjugate acid.

Hence, [tex]H_{3}O^{+}[/tex] is the conjugate acid of [tex]H_{2}O[/tex].

Thus, we can conclude that [tex]CH_{3}COO^{-}[/tex] is the conjugate base.

Taking into account the Brønsted-Lowry acid-base theory, CH₃COO₋ is a conjugate base.

What is Brønsted-Lowry acid-base theory

The Brønsted-Lowry acid-base theory (or the Brønsted-Lowry theory) identifies acids and bases based on whether the species accepts or donates protons or H⁺.

According to this theory, acids are proton donors while bases are proton acceptors. That is, an acid is a species that donates an H⁺ proton while a base is a chemical species that accepts an H⁺ proton from the acid.

So, reactions between acids and bases are H⁺ proton transfer reactions, causing the acid to form its conjugate base and the base to form its conjugated acid by exchanging a proton.

In other words, a conjugate base is an ion or molecule resulting from the acid that loses the proton, while a conjugate acid is an ion or molecule resulting from the base that gains the proton:

acid + base ⇄ conjugate base + conjugate acid

Statements true

In this case, when an acid loses a hydrogen ion then the specie formed is known as conjugate base.

Then, CH₃COO₋ is the conjugate base of CH₃COOH.

The correct statement is option C) CH₃COO₋ is a conjugate base.

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A balloon is floating around outside your window. The temperature outside is -5 ∘C , and the air pressure is 0.700 atm . Your neighbor, who released the balloon, tells you that he filled it with 4.80 moles of gas. What is the volume of gas inside this balloon?

Answers

Final answer:

Using the Ideal Gas Law, one can find out the volume of a gas under given conditions by substituting the values of pressure, number of moles, and temperature into the equation and performing the relevant calculation.

Explanation:

Given the parameters of the problem, we can use the Ideal Gas Law to calculate the volume of gas within the balloon.

The Ideal Gas Law is represented by the equation PV = nRT, where:

P represents pressureV is the volumen is the number of moles of the gasR is the gas constant, which is 0.081 when the pressure is in atm and volume in litersT is the temperature in Kelvin

To convert the given temperature from Celsius to Kelvin, we add 273 to the Celsius temperature (-5 °C + 273 = 268K).

We can now substitute the given and derived values into the Ideal Gas Law: PV = nRT into 0.700V = 4.80*0.081*268, then calculate V = (4.80*0.081*268) / 0.700 to find the volume of the gas.

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A chemistry student weighs out 0.306 g of citric acid (H3C6H5O7), a triprotic acid, into a 250 ml volumetric flask and dilutes to the mark with distilled water. He plans to titrate the acid with 0.1000 M NaOH solution. Calculate the volume of NaOH solution the student will need to add to reach the final equivalence point. Be sure your answer has the correct number of significant digits.

Answers

Answer:

[tex]\boxed{\text{47.8 mL of NaOH}}[/tex]

Explanation:

For simplicity, let's write the formula of citric acid as H₃A.

1. Balanced chemical equation.

[tex]\rm H$_{3}$A + 3NaOH $\longrightarrow$ Na$_{3}$A + 3H$_{2}$O[/tex]

2. Moles of H₃A

[tex]\text{Moles of H$_{3}$A} =\text{ 0.306 g H$_{3}$A} \times \dfrac{\text{1 mol H$_{3}$A}}{\text{192.12 g H$_{3}$A }} = 1.593 \times 10^{-3} \text{ mol H$_{3}$A}[/tex]

3. Moles of NaOH.

[tex]\text{Moles of NaOH} = 1.593 \times 10^{-3} \text{ mol H$_{3}$A} \times \dfrac{\text{3 mol NaOH} }{\text{1 mol H$_{3}$A}}\\= 4.778 \times 10^{-3}\text{ mol NaOH}[/tex]

4. Volume of NaOH

[tex]V = 4.778 \times 10^{-3}\text{ mol NaOH}\times \dfrac{\text{1 L NaOH}}{\text{0.1000 mol NaOH}} = \text{0.047 78 L NaOH} =\textbf{47.8 mL NaOH}\\\\\text{The student will have to use }\boxed{\textbf{47.8 mL of NaOH}}[/tex]

The volume of NaOH solution is "47.8 mL".

Given values are:

Concentration of NaOH ,

0.1000 M

Mass,

250 mL

The equation,

→ [tex]H_3C_6 H_5 O_7 + 3 NaOH \rightarrow Na_3C_6H_5O_7+ 3 H_2O[/tex]

Now,

→ The moles of [tex]H_3C_6 H_5 O_7[/tex] will be:

= [tex]\frac{mass}{molar \ mass \ of \ H_3C_6 H_5 O_7}[/tex]

= [tex]\frac{0.306}{192.124}[/tex]

= [tex]0.001593 \ mol[/tex]

→ Moles of NaOH will be:

= [tex]3\times moles \ of \ H_3C_6 H_5 O_7[/tex]

= [tex]3\times 0.001593[/tex]

= [tex]0.004778 \ mol[/tex]

hence,

→ The volume of NaOH will be:

= [tex]\frac{moles}{concentration \ of \ NaOH}[/tex]

= [tex]\frac{0.004778}{0.1000}[/tex]

= [tex]0.0478 \ L[/tex]

or,

= [tex]47.8 \ mL[/tex]

Thus the above response is right.

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Phosphorous pentoxide, P2O5(s), is produced from the reaction between pure oxygen and pure phosphorous (P, solid). What is the volume of oxygen (in m3) that is used to complete a reaction that yields 6.92 kilograms of P2O5(s), when carried out at 396.90°C and 606.1 mmHg? (Assume ideal-gas behaviour)

Answers

Answer:

4190.22 L = 4.19 m³.

Explanation:

For the balanced reaction:

2P₂ + 5O₂ ⇄ 2P₂O₅.

It is clear that 2 mol of P₂ react with 5 mol of O₂ to produce 2 mol of P₂O₅.

Firstly, we need to calculate the no. of moles of 6.92 kilograms of P₂O₅ produced through the reaction:

no. of moles of P₂O₅ = mass/molar mass = (6920 g)/(283.88 g/mol) = 24.38 mol.

Now, we can find the no. of moles of O₂ is needed to produce the proposed amount of P₂O₅:

Using cross multiplication:

5 mol of O₂ is needed to produce → 2 mol of P₂O₅, from stichiometry.

??? mol of O₂ is needed to produce → 24.38 mol of P₂O₅.

∴ The no. of moles of O₂ needed = (5 mol)(24.38 mol)/(2 mol) = 60.95 mol.

Finally, we can get the volume of oxygen using the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm (P = 606.1 mm Hg/760 = 0.8 atm).

V is the volume of the gas in L (V = ??? L).

n is the no. of moles of the gas in mol (n = 60.95 mol).

is the general gas constant (R = 0.0821 L.atm/mol.K),

T is the temperature of the gas in K (396.90°C + 273 = 669.9 K).

∴ V of oxygen needed = nRT/P = (60.95 mol)(0.0821 L.atm/mol.K)(669.9 K)/(0.8 atm) = 4190.22 L/1000 = 4.19 m³.

Which statement describes the Arrhenius interpretation of acids and bases?

Answers

Answer: the correct answer is option D.<3

Explanation:

e2020

A gas mixture with a total pressure of 745 mmHg contains each of the following gases at the indicated partial pressures: CO2, 245 mmHg ; Ar, 119 mmHg ; and O2, 163 mmHg . The mixture also contains helium gas. Part A What is the partial pressure of the helium gas? PHe P H e = nothing mmHg Request Answer Part B What mass of helium gas is present in a 10.2-L sample of this mixture at 283 K ? m m = nothing g Request Answer

Answers

Answer:

For Part A: The partial pressure of Helium is 218 mmHg.

For Part B: The mass of helium gas is 0.504 g.

Explanation:

For Part A:

We are given:

[tex]p_{CO_2}=245mmHg\\p_Ar}=119mmHg\\p_{O_2}=163mmHg\\P=745mmHg[/tex]

To calculate the partial pressure of helium, we use the formula:

[tex]P=p_{CO_2}+p_{Ar}+p_{O_2}+p_{He}[/tex]

Putting values in above equation, we get:

[tex]745=245+119+163+p_{He}\\p_{He}=218mmHg[/tex]

Hence, the partial pressure of Helium is 218 mmHg.

For Part B:

To calculate the mass of helium gas, we use the equation given by ideal gas:

PV = nRT

or,

[tex]PV=\frac{m}{M}RT[/tex]

where,

P = Pressure of helium gas = 218 mmHg

V = Volume of the helium gas = 10.2 L

m = Mass of helium gas = ? g

M = Molar mass of helium gas = 4 g/mol

R = Gas constant = [tex]62.3637\text{ L.mmHg }mol^{-1}K^{-1}[/tex]

T = Temperature of helium gas = 283 K

Putting values in above equation, we get:

[tex]218mmHg\times 10.2L=\frac{m}{4g/mol}\times 62.3637\text{ L.mmHg }mol^{-1}K^{-1}\times 283K\\\\m=0.504g[/tex]

Hence, the mass of helium gas is 0.504 g.

A gas mixture with a total pressure of 745 mmHg contains CO₂ (245 mmHg), Ar (119 mmHg), O₂ (163 mmHg) and He (218 mmHg). 0.504 g of helium occupy 10.2 L at 283 K and 218 mmHg.

A gas mixture with a total pressure of 745 mmHg contains each of the following gases at the indicated partial pressures: CO₂, 245 mmHg; Ar, 119 mmHg; O₂, 163 mmHg; He, unknown partial pressure.

The total pressure is equal to the sum of the partial pressures.

[tex]P = pCO_2 + pAr + pO_2 + pHe\\\\pHe = P - pCO_2 - pAr - pO_2 = 745 mmHg - 245 mmHg - 119 mmHg - 163 mmHg = 218 mmHg[/tex]

Helium occupies 10.2 L at 218 mmHg and 283 K. We can calculate the moles of helium using the ideal gas equation.

[tex]P \times V = n \times R \times T\\\\n = \frac{P \times V}{R \times T} = \frac{218mmHg \times 10.2 L}{(62.4mmHg/mol.K) \times 283K} = 0.126 mol[/tex]

Finally, we will convert 0.126 moles of helium to grams using its molar mass (4.00 g/mol).

[tex]0.126 mol \times \frac{4.00g}{mol} = 0.504 g[/tex]

A gas mixture with a total pressure of 745 mmHg contains CO₂ (245 mmHg), Ar (119 mmHg), O₂ (163 mmHg) and He (218 mmHg). 0.504 g of helium occupy 10.2 L at 283 K and 218 mmHg.

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For the following reaction, 3.70 grams of oxygen gas are mixed with excess carbon monoxide . The reaction yields 8.25 grams of carbon dioxide . carbon monoxide(g) + oxygen(g) carbon dioxide(g) What is the ideal yield of carbon dioxide? grams What is the percent yield for this reaction? %

Answers

Answer:

81% Yield

Explanation:

2CO        +               O₂                                =>     2CO₂

Excess                3.70g O₂                          =>     8.25g CO₂ (actural yield)

               (3.70g O₂)/(32g O₂/mol O₂)

                   = 0.1156 mol O₂                       =>  2(0.1156) mol CO₂

                                                                          = 10.175g (Theoretical Yield)

%Yield = (Actual Yield / Theoretical Yield)100%  

= (8.25g/10.175g)100% = 81% Yield

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