Lithium has two naturally occurring isotopes, 6Li and 7Li . The atomic weight of lithium is 6.941. Which of the following statements concerning the relative abundance of each isotope is correct? A) The abundance of 7Li is greater than 6Li. B) The abundance of 7Li is less than 6Li. C) The abundance of 6Li is equal to the abundance of 7Li. D) Not enough data is provided to determine the correct answer. E) Based on the atomic mass, only 7Li occurs naturally.

Answers

Answer 1

Answer: The abundance of Li-7 isotope is higher as compared to Li-6.

Explanation:

Average atomic mass is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.

Formula used to calculate average atomic mass follows:

[tex]\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i[/tex]

We are given:

Two isotopes of lithium :

Li-6 and Li-7

Average atomic mass of lithium= 6.941

As, the average atomic mass of lithium is closer to the mass of isotope Li-7. This means that the relative abundance of Li-7 is higher as compared to Li-6.

Percentage abundance of Li-7> Percentage abundance of Li-6 isotope

Answer 2
Final answer:

The atomic weight of lithium is closer to the mass number of 7Li, indicating that 7Li is more abundant than 6Li in nature. Thus, the correct answer is A) The abundance of 7Li is greater than 6Li.

Explanation:

The atomic weight of lithium, being 6.941, is closer to 7 than 6. Consequently, this indicates that most naturally occurring lithium is of the heavier 7Li isotope. So, in terms of relative abundance, 7Li is indeed more prevalent than 6Li. This means the correct answer would be option A) The abundance of 7Li is greater than 6Li. Therefore, based on the atomic weight of lithium, we can conclude that the abundance of 7Li is greater than 6Li.

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Related Questions

In a certain acidic solution at 25 ∘C, [H+] is 100 times greater than [OH −]. What is the value for [OH −] for the solution?

Answers

Answer: The value of [tex][OH^-][/tex] for the solution is [tex]10^{-6}M[/tex]

Explanation:

To calculate the concentration of hydroxide ion for the solution, we use the equation:

[tex][H^+]\times [OH^-]=10^{-14}[/tex]

We are given:

[tex][H^+]=100\times [OH^-][/tex]

Putting values in above equation, we get:

[tex]100\times [OH^-]\times [OH^-]=10^{-14}[/tex]

[tex][OH^-]^2=\frac{10^{-14}}{100}[/tex]

[tex][OH^-]=\sqrt{10^{-12}}[/tex]

[tex][OH^-]=10^{-6}M[/tex]

Hence, the value of [tex][OH^-][/tex] for the solution is [tex]10^{-6}M[/tex]

Draw the Lewis structure (including all lone pair electrons and any formal charges) for one of the four possible isomers of C3H9N.

Answers

Answer:

As shown in the attachment

Explanation:

The four possible isomers are as shown in the attachment.

Hydrogen chloride gas and oxygen gas react to form water and chlorine gas. A reaction mixture initially contains 53.2 g of hydrogen chloride and 26.5 g of oxygen gas. Once the reaction has occurred as completely as possible, what mass (in g) of the excess reactant remains? Enter to 1 decimal place.

Answers

In a reaction between hydrogen chloride and oxygen to form water and chlorine gas, using the provided masses and the balanced chemical equation, hydrogen chloride is found to be the limiting reactant, leaving 14.8 g of excess oxygen gas after the reaction.

To solve this problem, we first need to write the balanced chemical equation for the reaction between hydrogen chloride (HCl) and oxygen (O₂) to form water (H₂O) and chlorine gas (Cl₂). The reaction is as follows:

4 HCl(g) + O₂(g) ⇒ 2 H₂O(g) + 2 Cl₂(g)

Using the given masses of reactants, we calculate the molar amounts of HCl and O₂. The molar mass of HCl is approximately 36.5 g/mol and that of O₂ is 32.0 g/mol. Thus:

53.2 g HCl x (1 mol HCl / 36.5 g) = 1.46 mol HCl

26.5 g O₂ x (1 mol O₂ / 32.0 g) = 0.828 mol O₂

According to the balanced equation, it takes 4 moles of HCl to react with 1 mole of O₂. So, we divide the molar amounts by their respective coefficients to find the limiting reactant:

1.46 mol HCl / 4 = 0.365 mol

0.828 mol O₂ / 1 = 0.828 mol

Since 0.365 mol < 0.828 mol, HCl is the limiting reactant. The reaction will consume all of the HCl, leaving some O₂ in excess. To find the amount of excess O₂, we calculate how much O₂ is needed to react with the available HCl:

1.46 mol HCl x (1 mol O₂ / 4 mol HCl) = 0.365 mol O₂ needed

We subtract the O₂ needed from the initial amount to find the excess:

0.828 mol O₂ - 0.365 mol O₂ = 0.463 mol excess O₂

0.463 mol O₂ x 32.0 g/mol = 14.8 g excess O₂

Therefore, the mass of the excess reactant O2 remaining is 14.8 g.

You analyze a sample of unknown metal as you would in this experiment. You measure the volume of H2(g) generated to be 71.85 mL and the water temperature to be 20.0°C. You calculate PH2 to be 0.781 atm. Use the ideal gas law to calculate the number of moles of hydrogen gas generated.

Answers

Answer: The number of moles of hydrogen gas generated is [tex]2.33\times 10^{-3}mol[/tex]

Explanation:

To calculate the number of moles of hydrogen gas, we use the equation given by ideal gas which follows:

[tex]PV=nRT[/tex]

where,

P = pressure of the gas = 0.781 atm

V = Volume of the gas = 71.85 mL = 0.07185 L     (Conversion factor:  1 L = 1000 mL)

T = Temperature of the gas = [tex]20^oC=[20+273]K=293K[/tex]

R = Gas constant = [tex]0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]

n = number of moles of hydrogen gas = ?

Putting values in above equation, we get:

[tex]0.781atm\times 0.07185L=n\times 0.0821\text{ L.atm }mol^{-1}K^{-1}\times 293K\\\\n=\frac{0.781\times 0.07185}{0.0821\times 293}=2.33\times 10^{-3}mol[/tex]

Hence, the number of moles of hydrogen gas generated is [tex]2.33\times 10^{-3}mol[/tex]

Whenever dry nitrogen from a portable cylinder is used in service and installation practice, what item is of most importance in consideration of safety?

Answers

Answer:

a relief valve is inserted in the downstream line from the pressure regulator.

Explanation:

Whenever dry nitrogen from a portable cylinder is used in service and installation practice the item of most importance in consideration of safety is a relief valve is inserted in the downstream line from the pressure regulator.

Final answer:

The most important item to consider for safety when using dry nitrogen from a portable cylinder in service and installation practice is a pressure regulator, which controls the flow and release of the gas. It is also crucial to inspect the system for leaks regularly.

Explanation:

When using dry nitrogen from a portable cylinder in service and installation practice, the most important item to consider for safety is a pressure regulator. A pressure regulator is used to control the flow and release of nitrogen gas from the cylinder. It ensures that the pressure does not exceed safe limits and reduces the risk of an explosion or other accidents.

Additionally, it is crucial to always check for leaks in the system before using dry nitrogen. Leaks can result in the accumulation of nitrogen gas, which can displace oxygen in the air and lead to asphyxiation. Therefore, regularly inspecting the system and using appropriate leak detection methods, such as soapy water or a leak detection solution, is essential for safety.

In summary, when working with dry nitrogen from a portable cylinder, the two most important safety considerations are the use of a pressure regulator and regular inspection for leaks.

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The tarnish that forms on objects made of silver is solid silver sulfide; it can be removed by reacting it with aluminum metal to produce silver metal and solid aluminum sulfide. How many moles of the excess reactant remain unreacted when the reaction is over if 5 moles of silver sulfide react with 8 moles of aluminum metal? Hint: Write a balanced chemical equation first. Enter to 1 decimal place.

Answers

Final answer:

When 5 moles of silver sulfide react with 8 moles of aluminum metal, there is an excess of aluminum. After the reaction is complete, 3.3 moles of the excess aluminum remain unreacted.

Explanation:

The balanced chemical equation for the reaction between solid silver sulfide (Ag2S) and aluminum metal (Al) is:

3Ag2S + 2Al → 6Ag + Al2S3

Based on this equation, we can see that every 3 moles of Ag2S react with 2 moles of Al to produce 6 moles of Ag and 1 mole of Al2S3.

In the given question, 5 moles of Ag2S react with 8 moles of Al. Therefore, we have an excess of Al. To determine the moles of excess Al remaining unreacted, we can set up a ratio:

(8 moles Al reacted) / (2 moles Al required to react with 3 moles Ag2S) = x moles Ag2S / 5 moles Ag2S

Simplifying this ratio, we find:

x = (8 moles Al / 2) × (5 moles Ag2S / 3 moles Al)

x = 20/6 = 3.3 moles

Therefore, 3.3 moles of the excess reactant (Al) remain unreacted when the reaction is over.

Final answer:

After writing a balanced chemical equation for the reaction between silver sulfide and aluminum, we determine that 4.7 moles of aluminum remain unreacted when 5 moles of silver sulfide react with 8 moles of aluminum.

Explanation:

To determine the number of moles of the excess reactant that remain unreacted, we first need to write a balanced chemical equation for the reaction between silver sulfide and aluminum metal. Here is the balanced equation:

3 Ag₂S (s) + 2 Al (s) → 6 Ag (s) + Al₂S₃(s)

Using the balanced equation, we see that 3 moles of silver sulfide react with 2 moles of aluminum. Therefore, if we had 5 moles of silver sulfide, we would need 2/3 × 5 = 10/3 moles of aluminum to react completely with the silver sulfide.

Since 8 moles of aluminum were originally present, we subtract the amount of aluminum that reacted to find the excess:

8 moles Al - 10/3 moles Al = 14/3 moles Al

Thus, 14/3 moles or 4.7 moles of aluminum remain unreacted.

An aqueous solution is saturated with both a solid and a gas at 5 ∘C∘C. What is likely to happen if the solution is heated to 85 ∘C∘C ? View Available Hint(s)

Answers

Here is the complete question

An aqueous solution is saturated with both a solid and a gas at 5 °C. What is likely to happen if the solution is heated to 85 °C ?

View Available Hint(s)

a.) Some gas will bubble out of solution and more solid will dissolve.

b.) Some gas will bubble out of the solution and some solid will precipitate out of the solution.

c.) Some solid will precipitate out of solution.

d.) More gas will dissolve and more of the solid will dissolve.

Answer:

a.) Some gas will bubble out of solution and more solid will dissolve.

Explanation:

Temperature increase usually increases the dissolution of solids in liquids. From the question; Some gas will be bubble out of the solution as the temperature is being increased to 85 °C because that aqueous solution is saturated(i.e equal amount of solute and solvent in the solution) with both  solid and gas at 5 °C, but when the solution is heated to 85 °C, the solution becomes supersaturated( i.e the solute is now more at the given temperature than the solvent).  

Answer:

As the temperature increases, the solubility of the solid increases and the solubility of the gas decreases. When the solution that is saturated between a solid and a gas at 5 ° C and heated to 85 ° C, the gas comes out of the solution first.

Explanation:

A saturated solution is one that has the maximum amount of solute that is dissolved. An unsaturated solution is one that has a low amount of solute compared to the saturated solution. According to Henry's law, the solubility of a gas at a specific temperature is directly proportional to its partial pressure, that is

C ∝ p

C = kp

Where

p is the partial pressure

k ia a proportionality constant

C is the concentration of the gas

Ketones undergo a reduction when treated with sodium borohydride, NaBH4. The product of the above reaction has the following spectroscopic properties; propose a structure. MS: M+ = 86 IR: 3400 cm-1 1H NMR: 1.56 δ (4H, triplet); 1.78 δ (4H, multiplet); 3.24 δ (1H, quintet); 3.58 δ (1H, singlet) 13C NMR: 24.2, 35.5, 73.3 δ

Answers

Answer:

The product is cyclohexanol

Explanation:

Firstly,

A ketone undergo a borohydride reduction reaction to form an alcohol as below,

R-CO-R'  ⇒ R-CO(OH)-R'

IR Spectrum confirms that alcohol group is existed with the peak at 3400 cm⁻¹From 1H-NMR, the product has 10 hydrogen atoms, the MS suggest that the formula is C₅H₁₀O (M = 86). With this formula, the alcohol is monosaturated. Since, the substance already underwent reduction reaction, the only way to suggest a monosaturated compound is a cyclic alcohol. So the compound is cyclopentanol.Check with other spectroscopic properties,3 signals of 13C NMR confirms the structure is symmetrical, δ 24.2, (-CH₂-CH₂-CH(CH₂-)-OH), δ 35.5 (-CH₂-CH₂-CH(CH₂-)-OH), δ 73.3 (-CH₂-CH₂-CH(CH₂-)-OH).1H NMR confirms,

        1.56 δ (4H, triplet) - (-CH₂-CH₂-CH-OH) ; triplet as coupling with 2 H,

        1.78 δ (4H, multiplet)  - (-CH₂-CH₂-CH-OH); multiplet as coupling with 2H of CH₂, 1 H of CH

         3.24 δ (1H, quintet); - (-CH₂-CH₂-CH(CH₂-)-OH), coupling with4 H of 2 group of CH₂

         3.58 δ (1H, singlet); - (-CH₂-CH₂-CH(CH₂-)-OH), hydrogen of alcohol group, not tend to coupling with other hydrogen

Balance the following expression: __ CH3CH2COOH + __ O2 → __ CO2 + __ H2O How many moles of O2 are required for the complete combustion of 6 mol of propanoic acid?

Answers

Answer:

We need 21.0 moles of O2

Explanation:

Step 1: Data given

Moles of propanoic acid = 6.0 moles

CH3CH2COOH = propanoic acid

Step 2: The balanced equation

2CH3CH2COOH + 7O2 → 6CO2 + 6H2O

Step 3 :Calculate moles O2

For 2 moles propanoic acid we need 7 moles O2 to produce 6 moles CO2 and 6 moles H2O

For 6.0 moles propanoic acid we need 6.0 * 3.5 = 21 moles O2

We need 21.0 moles of O2

To combust 6 moles of propanoic acid completely, 15 moles of [tex]O_{2}[/tex] are required, based on the balanced chemical equation for the combustion of propanoic acid. 2 [tex]CH_{3} CH_{2} COOH[/tex] + 5 [tex]O_{2}[/tex] → 6 [tex]CO_{2}[/tex] + 4 [tex]H_{2}O[/tex] is the balanced chemical equation.

The question asks for the amount of Oxygen ([tex]O_{2}[/tex]) needed for the complete combustion of propanoic acid ([tex]CH_{3} CH_{2} COOH[/tex]). The combustion of propanoic acid can be represented by a balanced chemical equation:

2 [tex]CH_{3} CH_{2} COOH[/tex] + 5 [tex]O_{2}[/tex] → 6 [tex]CO_{2}[/tex] + 4 [tex]H_{2}O[/tex]

This means that 2 moles of propanoic acid require 5 moles of [tex]O_{2}[/tex] for complete combustion. If we have 6 moles of propanoic acid, a simple stoichiometric calculation would be to multiply the amount of [tex]O_{2}[/tex] required for 2 moles of propanoic acid by 3 (since 6 moles is three times larger than 2 moles), resulting in:

5 moles [tex]O_{2}[/tex]/2 moles [tex]CH_{3} CH_{2} COOH[/tex] × 6 moles [tex]CH_{3} CH_{2} COOH[/tex] = 15 moles [tex]O_{2}[/tex]

Therefore, to combust 6 moles of propanoic acid completely, 15 moles of [tex]O_{2}[/tex] are required.

If one wished to obtain 0.050 moles of isopentyl alcohol, how many milliliters should one obtain? Enter only the number to two significant figures.

Answers

Answer:

1100 millimeters

Explanation:

1 mole of isopentyl alcohol = 22.4L = 22.4×1000 mL = 22,400L

0.050 moles of isopentyl alcohol = 0.050 × 22,400mL = 1120mL = 1100mL (to two significant figures)

A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell. The lattice constant a has been measured by X-ray crystallography to be 409. Calculate the radius of an atom of M.

Answers

Final answer:

To calculate the radius of an atom in a body-centered cubic (BCC) structure, we can use the formula: radius (r) = √(3/4) * a/2, where a is the lattice constant.

Explanation:

In a body-centered cubic (BCC) unit cell, the atoms in the corners do not touch each other but contact the atom in the center. The unit cell contains two atoms: one-eighth of an atom at each of the eight corners and one atom in the center. An atom in a BCC structure has a coordination number of eight. To calculate the radius of an atom in a BCC structure, we can use the formula:

Radius (r) = √(3/4) * a/2

where a is the lattice constant. Plugging in the given value of the lattice constant as 409, we can calculate the radius of the atom of metal M in a BCC structure using this formula.

A student measured the length of a piece of paper and determined it to be 21.6cm using a metric measurement and 8 1/2 inches using the English measurement. What is the ratio of cm/inch using the students data.Do not give a fraction answer, calculate it to get an answer with 2 digits past the decimal

Answers

Explanation:

As per the measurements that are made by the student are as follows.

        21.6 cm is equivalent to 8.5 inch

Therefore, 1 cm for the given situation will be equivalent to inch as follows.

              1 cm = [tex]\frac{8.5}{21.6}[/tex] inch

                      = 0.393 inch

Hence, we will calculate the ratio of cm : inch as follows.

               Ratio of cm : inch = [tex]\frac{8.5}{21.6}[/tex]

                                             = 0.39

Thus, we can conclude that the ratio of cm/inch using the students data is 0.39.

Calculate the amount of heat required to completely sublime 66.0 gg of solid dry ice (CO2)(CO2) at its sublimation temperature. The heat of sublimation for carbon dioxide is 32.3 kJ/molkJ/mol. Express your answer in kilojoules. nothing kJkJ

Answers

Answer:

48.5 kJ

Explanation:

Let's consider the sublimation of carbon dioxide at its sublimation temperature, that is, its change from the solid to the gaseous state.

CO₂(s) → CO₂(g)

The molar mass of carbon dioxide is 44.01 g/mol. The moles corresponding to  66.0 g are:

66.0 g × (1 mol/44.01 g) = 1.50 mol

The heat of sublimation for carbon dioxide is 32.3 kJ/mol. The heat required to sublimate 1.50 moles of carbon dioxide is:

1.50 mol × (32.3 kJ/mol) = 48.5 kJ

Before Mendeleev published his periodic table, Döbereiner grouped elements with similar properties into "triads," in which the unknown properties of one member could be predicted by averaging known values of the properties of the others. To test this idea, predict the values of the following quantities:
(a) The atomic mass of K from the atomic masses of Na and Rb
(b) The melting point of Br₂ from the melting points of Cl₂ (-101.0°C) and I₂ (113.6°C) (actual value = - 7.2°C)

Answers

Answer:

a) The atomic mass of the potassium is 54.23 amu.

b) The melting point of bromine gas is 6.3°C.

Explanation:

a) Atomic mass of Na =22.99 amu

Atomic mass of Rb = 85.47 amu

Döbereiner triad = Na , K ,Rb

Taking average of  atomic masses of  Na and Rb

Atomic mass of the K = [tex]\frac{22.99 amu+85.47 amu}{2}=54.23 amu[/tex]

The atomic mass of the potassium is 54.23 amu.

b) Melting point of chlorine gas =-101.0°C

Melting point of iodine gas =113.6°C

Döbereiner triad = Cl, Br , I

Melting point of bromine gas :

=[tex]\frac{-101.0^oC +113.6^oC}{2}=6.3^oC[/tex]

The melting point of chlorine gas is 6.3°C.

The energy changes for many unusual reactions can be determined using Hess’s law.
(a) Calculate ΔE for the conversion of F⁻(g) into F⁺(g).
(b) Calculate ΔE for the conversion of Na⁺(g) into Na⁻(g).

Answers

Answer:

(a) F⁻(g) ⇒ F⁺(g)         ΔE=2009 KJ/mol

(b) Na⁺(g) ⇒ Na⁻(g)   ΔE=-548.6 KJ/mol

Explanation:

Hess's Law

"Energy changes for a reaction is independent of steps or route involved."

(a) F⁻(g) ⇒ F⁺(g)

Now the conversion F⁻ to F⁺ is a two step reaction. In first step F⁻ loses an electron e⁻ to become neutral atom.

F⁻ ⇒ F + e⁻   ΔH=328 KJ/mol (i)

Kindly note this energy is derived from electron affinity, which is the energy changes while adding an electron to neutral atom and its same while removing an electron from ion.

In second step,

Another electron is removed from F.

F ⇒ F⁺ + e⁻    ΔH= 1681 KJ/mol (ii)

This energy is 1st ionization energy for F, which is the energy required to remove first electron from outer most shell of neutral atom.

Now the total energy change can be found by applying Hess's law and adding equations (i) and (ii);

F⁻ ⇒ F + e⁻   ΔH=328 KJ/mol

F ⇒ F⁺ + e⁻    ΔH= 1681 KJ/mol

F⁻ ⇒ F⁺ + 2e⁻  ΔH= 2009 KJ/mol

(b) Na⁺(g) ⇒ Na⁻(g)

This reaction involves two steps in first Na⁺(g) gains electron and become neutral atom while in second step Na(g) accepts another electron to become Na⁻(g).

Na⁺(g) + e⁻⇒ Na(g)    ΔH=-495.8 KJ/mol   (i)

Na(g) + e⁻ ⇒ Na⁻(g)   ΔH=-52.8 KJ/mol     (ii)   (By Applying Hess's Law)

Na⁺(g) + 2e⁻ ⇒ Na⁻(g)  ΔH=-548.6 KJ/mol

Kindly note as there is no molar change in above mentioned reactions therefore enthalpy changes(ΔH) and internal energy changes(ΔE) are same.

The volume density of atoms for a bcc lattice is 5 x 1026 m-3. Assume that the atoms are hard spheres with each atom touching its nearest neighbors. Determine the lattice constant and effective radius of the atom.

Answers

Explanation:

It is known that for a body centered cubic unit cell there are 2 atoms per unit cell.

This means that volume occupied by 2 atoms is equal to volume of the unit cell.

So, according to the volume density

        [tex]5 \times 10^{26} atoms = 1 [tex]m^{3}[/tex]

        2 atoms = [tex]\frac{1 m^{3}}{5 \times 10^{26} atoms} \times 2 atoms[/tex]

                     = [tex]4 \times 10^{-27} m^{3}[/tex]

Formula for volume of a cube is [tex]a^{3}[/tex]. Therefore,

           Volume of the cube = [tex]4 \times 10^{-27} m^{3}[/tex]

As lattice constant (a) = [tex](4 \times 10^{-27} m^{3})^{\frac{1}{3}}[/tex]

                                   = [tex]1.59 \times 10^{-9} m[/tex]

Therefore, the value of lattice constant is [tex]1.59 \times 10^{-9} m[/tex].

And, for bcc unit cell the value of radius is as follows.

                 r = [tex]\frac{\sqrt{3}}{4}a[/tex]

Hence, effective radius of the atom is calculated as follows.

                 r = [tex]\frac{\sqrt{3}}{4}a[/tex]

                   = [tex]\frac{\sqrt{3}}{4} \times 1.59 \times 10^{-9} m[/tex]

                   = [tex]6.9 \times 10^{-10} m[/tex]

Hence, the value of effective radius of the atom is [tex]6.9 \times 10^{-10} m[/tex].

A 7.41 mass % aqueous solution of sodium chloride has a density of 1.14 g/mL. Calculate the molarity of the solution. Give your answer to 2 decimal places.

Answers

Answer:

Molarity for solution is 1.44 M

Explanation:

Molarity = Mol of solute / 1L of solution

We would need the volume of solution (To be calculated with density)

We would need the moles of solute (To be calculated with  mass and molar mass of solute)

7.41 % by mass means 7.41 g of solute in 100 g of solution

So, moles of solute → 7.41 g / 58.45 g/mol = 0.127 mol

Let's determine the volume by density

Density = Mass / volume

1.14 g/mL = 100 g / Volume

Volume = 100 g / 1.14 g/mL → 87.7 mL

To reach molarity we must have the volume in L

87.7 mL . 1L / 1000 mL = 0.0877 L

Molarity → mol /L = 0.127 mol / 0.0877L → 1.44 M

Problem Page Question It takes to break a carbon-carbon single bond. Calculate the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon.

Answers

This is a incomplete question. The complete question is:

It takes 348 kJ/mol to break a carbon-carbon single bond. Calculate the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon. Round your answer to correct number of significant digits

Answer: 344 nm

Explanation:

[tex]E=\frac{Nhc}{\lambda}[/tex]

E= energy  = 348kJ= 348000 J  (1kJ=1000J)

N = avogadro's number = [tex]6.023\times 10^{23}[/tex]

h = Planck's constant = [tex]6.626\times 10^{-34}Js [/tex]

c = speed of light = [tex]3\times 10^8ms^{-1}[/tex]

[tex]348000=\frac{6.023\times 10^{23}\times 6.626\times 10^{-34}\times 3\times 10^8}{\lambda}[/tex]

[tex]\lambda=\frac{6.023\times 10^{23}\times 6.626\times 10^{-34}\times 3\times 10^8}{348000}[/tex]

[tex]\lambda=3.44\times 10^{-7}m=344nm[/tex]    [tex]1nm=10^{-9}m[/tex]

Thus the maximum wavelength of light for which a carbon-carbon single bond could be broken by absorbing a single photon is 344 nm

Phosgene, a poisonous gas, when heated will decompose into carbon monoxide and chlorine in a reversible reaction: COCl2 (g) <-----> CO (g) + Cl2 When 2.00 mol of phosgene is put into an empty 1.00 L flask and 395 ˚C and allowed to come to equilibrium, the final mixture contains 0.0398 mol of chlorine. Find Keq. Group of answer choices

Answers

Answer:

8.08 × 10⁻⁴

Explanation:

Let's consider the following reaction.

COCl₂(g) ⇄ CO (g) + Cl₂(g)

The initial concentration of phosgene is:

M = 2.00 mol / 1.00 L = 2.00 M

We can find the final concentrations using an ICE chart.

     COCl₂(g) ⇄ CO (g) + Cl₂(g)

I       2.00            0            0

C        -x             +x           +x

E    2.00 -x          x             x

The equilibrium concentration of Cl₂, x, is 0.0398 mol / 1.00 L = 0.0398 M.

The concentrations at equilibrium are:

[COCl₂] = 2.00 -x = 1.96 M

[CO] = [Cl₂] = 0.0398 M

The equilibrium constant (Keq) is:

Keq = [CO].[Cl₂]/[COCl₂]

Keq = (0.0398)²/1.96

Keq = 8.08 × 10⁻⁴

"A student prepares a solution by dissolving 1.66 g of solid KOH in enough water to make 500.0 mL of solution. Calculate the molarity of K+ ions in this solution.

A 35.00 mL sample of this KOH solution is added to a 1000 mL volumetric flask, and water is added to the mark. What is the new molarity of K+ ions in this solution?"

Answers

Answer:

For 1: The molarity of [tex]K^+\text{ ions}[/tex] in this solution is 0.0592 M

For 2: The new molarity of [tex]K^+\text{ ions}[/tex] in this solution is [tex]2.07\times 10^{-3}M[/tex]

Explanation:

For 1:

To calculate the molarity of solution, we use the equation:

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

Given mass of KOH = 1.66 g

Molar mass of KOH = 56.1 g/mol

Volume of solution = 500.0 mL

Putting values in above equation, we get:

[tex]\text{Molarity of solution}=\frac{1.66\times 1000}{56.1g/mol\times 500.0}\\\\\text{Molarity of solution}=0.0592M[/tex]

1 mole of KOH produces 1 mole of potassium ions and 1 mole of hydroxide ions

So, molarity of [tex]K^+\text{ ions}=0.0592M[/tex]

Hence, the molarity of [tex]K^+\text{ ions}[/tex] in this solution is 0.0592 M

For 2:

To calculate the molarity of the diluted solution, we use the equation:

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1\text{ and }V_1[/tex] are the molarity and volume of the concentrated KOH solution  having [tex]K^+\text{ ions}[/tex]

[tex]M_2\text{ and }V_2[/tex] are the molarity and volume of diluted KOH solution  having [tex]K^+\text{ ions}[/tex]

We are given:

[tex]M_1=0.0592M\\V_1=35.00mL\\M_2=?M\\V_2=1000mL[/tex]

Putting values in above equation, we get:

[tex]0.0592\times 35.00=M_2\times 1000\\\\M_2=\frac{0.0592\times 35.0}{1000}=2.07\times 10^{-3}M[/tex]

Hence, the new molarity of [tex]K^+\text{ ions}[/tex] in this solution is [tex]2.07\times 10^{-3}M[/tex]

a. Lithium and sodium are the most similar because they are both________ elements located in the same__________ , and therefore have similar properties.b. Nitrogen and oxygen are not the most similar because although they are both______ elements, are each located in a different________

Answers

Answer:

Lithium and sodium are the most similar because they are both alkali elements located in the same group, and therefore have similar properties.

Nitrogen and oxygen are not the most similar because although they are both non metals elements, are each located in a different group

Explanation:

Li and Na are both alkali elements from group 1 that shares some similities. The both can be obtained by the  water hydrolysis. These are common reactions:

Metal from group 1 + H₂O → Base + H₂

Metal from group 1 + O₂ → oxides

Metal from group 1 + group 17 →  ionic halides

Both form cations with 1+ charge, they can release only 1 e-

N is an element from group 15 and O, from group 16. They are both non metal.

Nitrogen can make a variety of oxides.

They react in water to produce nitric acid:

N₂O₃ + H₂O → 2HNO₃

N₂O₅ + H₂O → 2HNO₃

It has an anion with -3, as oxidation state. (Nitride)

The N with H, makes a well known hidride → ammonia

N₂ + 3H₂ → 2NH₃

The Oxygen also makes a well known hidride → water

2H₂ + O₂ → 2H₂O

Both are covalent hidrides.

N can have many oxidation's states. O always acts with -2 except for the peroxydes, with -1. O can have a great power of oxidation, that N does not have.

O₂ always acts as a reactant, at combustion reactions.

Final answer:

Lithium and sodium are similar as they are both alkali elements, found in the same group of the periodic table, leading to similar properties. Nitrogen and oxygen, while both nonmetals, are in separate groups, yielding different properties.

Explanation:

a. Lithium and sodium are the most similar because they are both alkali elements located in the same group, and therefore have similar properties. Lithium and sodium both belong to the alkali metals group in the periodic table. They share similar chemical behaviors, as they have only one electron in a valence s subshell outside a filled set of inner shells. This fact influences their reactivity and the compounds they can form.

b. Nitrogen and oxygen are not the most similar because although they are both nonmetal elements, they are each located in a different group. Even though nitrogen and oxygen are close to each other in the periodic table, they do not share the same group, hence they have different properties and different numbers of valence electrons.

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In an aqueous solution containing Ni (II) and Ni (IV) salts, which cation would you expect to be the more strongly hydrated? Why?

Answers

Answer:

Well in comparison of Ni (II) and Ni (IV), Ni (IV) is a stronger vation with the +4 charge so it will attract the more oxygen ions in the aqueous solution. That is why Ni (IV) will be more strongly hydrated.

Explanation:

Final answer:

In an aqueous solution, the Ni (IV) cation is more strongly hydrated than the Ni (II) cation due to its higher charge density, which attracts more water molecules into its hydration sphere.

Explanation:

In an aqueous solution containing Ni (II) and Ni (IV) salts, the Ni (IV) cation is expected to be more strongly hydrated. This outcome is attributed primarily to the charge density. The Ni (IV) has a higher charge (+4) compared to Ni (II) which has a +2 charge. In terms of hydration, water molecules, which act as dipoles, are more strongly attracted to ions with a higher charge density. This means that the Ni (IV) ion, with its higher charge, attracts and binds water molecules more strongly than the Ni (II) ion.

This strong attraction results in a greater degree of hydration for the Ni (IV) ion as it pulls more water molecules into its hydration sphere. This process is crucial in understanding the properties of solutions, especially in predicting the behavior of ions in biological and chemical systems.

Start with 100.00 mL of 0.10 M acetic acid, CH3COOH. The solution has a pH of 2.87 at 25 oC. a) Calculate the Ka of acetic acid at 25 oC. b) Determine the percent dissociation for the solution.

Answers

Answer: a) The [tex]K_a[/tex] of acetic acid at [tex]25^0C[/tex] is [tex]1.82\times 10^{-5}[/tex]

b) The percent dissociation for the solution is [tex]4.27\times 10^{-3}[/tex]

Explanation:

[tex]CH_3COOH\rightarrow CH_3COO^-H^+[/tex]

 cM              0             0

[tex]c-c\alpha[/tex]        [tex]c\alpha[/tex]          [tex]c\alpha[/tex]

So dissociation constant will be:

[tex]K_a=\frac{(c\alpha)^{2}}{c-c\alpha}[/tex]

Give c= 0.10 M and [tex]\alpha[/tex] = ?

Also [tex]pH=-log[H^+][/tex]

[tex]2.87=-log[H^+][/tex]  

[tex][H^+]=1.35\times 10^{-3}M[/tex]

[tex][CH_3COO^-]=1.35\times 10^{-3}M[/tex]

[tex][CH_3COOH]=(0.10M-1.35\times 10^{-3}=0.09806M[/tex]

Putting in the values we get:

[tex]K_a=\frac{(1.35\times 10^{-3})^2}{(0.09806)}[/tex]

[tex]K_a=1.82\times 10^{-5}[/tex]

b)  [tex]\alpha=\sqrt\frac{K_a}{c}[/tex]

[tex]\alpha=\sqrt\frac{1.82\times 10^{-5}}{0.10}[/tex]

[tex]\alpha=4.27\times 10^{-5}[/tex]

[tex]\% \alpha=4.27\times 10^{-5}\times 100=4.27\times 10^{-3}[/tex]

Final answer:

The Ka of acetic acid is calculated using the pH and the definition of Ka using an ICE table, then percent dissociation is calculated using the initial concentration and the concentration of H+ found. We first calculate [H+] using the pH, then input those values into the Ka expression to find Ka, then use the formula for percent dissociation to find the percent dissociation.

Explanation:

To solve this problem, we will first calculate the Ka using the known pH and the equilibrium relationship between the pH, Ka and [H+] concentration. Then we will calculate the percent dissociation of the acetic acid.

Given that pH = 2.87, we can use the pH definition pH=-log[H+] to find that [H+] = 10^-2.87. Knowing that acetic acid dissociates as CH3COOH ⇌ H+ + CH3COO-, and given that the initial concentration of the acetic acid is 0.1 M, the equilibrium concentrations are 0.1–x for CH3COOH and x for both H+ and CH3COO-.From the ICE table, we know that [H+] = x = 10^-2.87. Substituting this into the Ka expression gives Ka = ([H+][CH3COO-])/([CH3COOH]) = x^2 / (0.1 - x). Solving this gives the Ka of acetic acid.To find the percent dissociation, we can use the formula %Dissociation = ([H+]/initial concentration of acid)*100%. Substituting the respective values will give the %Dissociation.

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For which blocks of elements are outer electrons the same as valence electrons? For which are d electrons often included among valence electrons?

Answers

Answer:

1. Group 1 — 3

2. Transition metals

Explanation:

d-block elements

d-Block Elements:

These elements are also known as transition elements as their positioning and transition of properties lies between s and p block elements.

d-block elements have number of valence electrons equal to their group number, which is equal to the number of electrons in the "valence shell".

For example, Consider a transition metal or d block element Scandium. It's atomic number is 21.

Electronic configuration of Scandium(Sc)- [Ar] 3d¹ 4s²,  it has three electrons in its outermost shell and has a valency of three.

The electron configuration of scandium indicates that the ultimate shell(orbit) of scandium has a complete of electrons. But the electron configuration of scandium within side the Aufbau approach indicates that its ultimate electron([tex]3d^1\\[/tex]) has entered the d-orbital. Thus we can say that scandium has 3 valence electrons.

Therefore, we can say that d block elements have same number of outer electrons and valence electrons.

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Write a full set of quantum numbers for the following:
(a) The outermost electron in an Rb atom
(b) The electron gained when an S⁻ ion becomes an S²⁻ ion
(c) The electron lost when an Ag atom ionizes
(d) The electron gained when an F⁻ ion forms from an F atom

Answers

The full set of quantum numbers varies depending on the electron being considered in each element or ion, with the numbers consisting of the principal quantum number (n), angular momentum quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s).

Quantum numbers describe values of conserved quantities in the dynamics of a quantum system, which in this case are the electrons in various elements or ions.

(a) The outermost electron in an Rb (Rubidium) atom will have the quantum numbers: n = 5, l = 0, ml = 0, ms = +1/2 or -1/2.(b) The electron gained when an S⁻ ion becomes an S²⁻ ion will have the quantum numbers: n = 3, l = 2, ml = -2 to 2 (any of these for one electron), ms = +1/2 or -1/2.(c) The electron lost when an Ag atom ionizes (silver) will have the quantum numbers: n = 5, l = 0, ml = 0, ms = +1/2 or -1/2 (since the last electron in the 5s subshell is lost).(d) The electron gained when an F⁻ ion forms from an F atom will have the quantum numbers: n = 2, l = 1, ml = -1, 0, or 1 (for an additional p electron), ms = +1/2 or -1/2.

Which of the following solutions will have the lowest freezing point? Input the appropriate letter. A. 35.0 g of C3H8O in 250.0 g of ethanol (C2H5OH) B. 35.0 g of C4H10O in 250.0 g of ethanol (C2H5OH) C. 35.0 g of C2H6O2 in 250.0 g of ethanol (C2H5OH)

Answers

Answer:

Solution with 35.0 g of [tex]C_3H_8O[/tex] in 250.0 g of ethanol will have lowest freezing point

Explanation:

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

where,

[tex]\Delta T_f[/tex] =depression in freezing point =  

[tex]K_f[/tex] = freezing point constant  

m = molality

As we can see that higher the molality of the solution more will depression in freezing point of the solution and hence lower will the freezing point of solution.

[tex]Molality=\frac{moles}{\text{mass of solvent in kg}}[/tex]

A. 35.0 g of [tex]C_3H_8O[/tex] in 250.0 g of ethanol.

Moles of [tex]C_3H_8O[/tex]=[tex]\frac{35.0 g}{60 g/mol}=0.5833 mol[/tex]

Mass of solvent i.e. ethanol = 250.0 g = 0.25 kg (1 g = 0.001 kg)

[tex]m=\frac{0.5833 mol}{0.25 kg}=2.33 m[/tex]

B. 35.0 g of [tex]C4H_{10}O[/tex] in 250.0 g of ethanol

Moles of [tex]C_4H_{10}O[/tex][tex]=[tex]\frac{35.0 g}{74 g/mol}=0.4730 mol[/tex]

Mass of solvent i.e. ethanol = 250.0 g = 0.25 kg (1 g = 0.001 kg)

[tex]m'=\frac{0.4730 mol}{0.25 kg}=1.89 m[/tex]

C. 35.0 g of [tex]C_2H_{6}O_2[/tex] in 250.0 g of ethanol

Moles of [tex]C_2H_{6}O_2[/tex]=[tex]\frac{35.0 g}{62g/mol}=0.5645 mol[/tex]

Mass of solvent i.e. ethanol = 250.0 g = 0.25 kg (1 g = 0.001 kg)

[tex]m''=\frac{0.5645 mol}{0.25 kg}=2.26 m[/tex]

[tex]m>m'''>m''[/tex]

Solution with 35.0 g of [tex]C_3H_8O[/tex] in 250.0 g of ethanol will have lowest freezing point

Palladium (Pd; Z 46) is diamagnetic. Draw partial orbital diagrams to show which of the following electron configurations is consistent with this fact:
(a) [Kr] 5s²4d⁸
(b) [Kr] 4d¹⁰
(c) [Kr] 5s¹4d⁹

Answers

Answer : The electron configurations consistent with this fact is, (b) [Kr] 4d¹⁰  

Explanation :

Electronic configuration : It is defined as the representation of electrons around the nucleus of an atom.

Number of electrons in an atom are determined by the electronic configuration.

Paramagnetic compounds : They have unpaired electrons.

Diamagnetic compounds : They have no unpaired electrons that means all are paired.

The given electron configurations of Palladium are:

(a) [Kr] 5s²4d⁸

In this, there are 2 electrons in 's' orbital and 8 electrons in 'd' orbital. From the partial orbital diagrams we conclude that 's' orbital are paired but 'd' orbital are not paired. So, this configuration shows paramagnetic.

(b) [Kr] 4d¹⁰

In this, there are 10 electrons in 'd' orbital. From the partial orbital diagrams we conclude that electrons in 'd' orbital are paired. So, this configuration shows diamagnetic.

(c) [Kr] 5s¹4d⁹

In this, there are 1 electron in 's' orbital and 9 electrons in 'd' orbital. From the partial orbital diagrams we conclude that 's' orbital and 'd' orbital are not paired. So, this configuration shows paramagnetic.

Final answer:

The correct electron configuration for a diamagnetic substance like Palladium (Pd) is [Kr] 4d¹⁰. This is because diamagnetic substances like Palladium need to have all their electron orbitals fully filled, thereby having no unpaired electrons.

Explanation:

The subject of this question is about the electron configuration of Palladium (Pd; Z 46), which is a diamagnetic element. Diamagnetic substances have no unpaired electrons and are not attracted to a magnetic field. Thus, to be consistent with this fact, the electron configuration of Palladium must not have any unpaired electrons.

(a) [Kr] 5s²4d⁸: This configuration would imply there are unpaired electrons in the 4d orbital, which contradicts the fact that Palladium is diamagnetic.

(b) [Kr] 4d¹⁰: This configuration correctly states that all the orbitals are filled, including the 5s orbital before the 4d orbital. Therefore, the correct electron configuration for Palladium, a diamagnetic element, is [Kr] 4d¹⁰.

(c) [Kr] 5s¹4d⁹: The proposed configuration would also suggest an unpaired electron exists in the 4d orbital, which contradicts Palladium being diamagnetic.

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At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.184 s^-1 ? Suppose a vessel contains Cl_2 O_5 at a concentration of 1.16 M. Calculate the concentration of Cl_2 O_5 in the vessel 5.70 seconds later.

Answers

Final answer:

To calculate the concentration of Cl2O5 in the vessel 5.70 seconds later, use the first-order rate law equation and the given rate constant and initial concentration.

Explanation:

To calculate the concentration of Cl2O5 in the vessel 5.70 seconds later, we can use the first-order rate law equation.

The rate law equation for a first-order reaction is: ln([A]t/[A]0) = -kt

Where [A]t is the concentration at time t, [A]0 is the initial concentration, k is the rate constant, and t is the time.

In this case, we know the rate constant (k) is 0.184 s^-1 and the initial concentration ([A]0) is 1.16 M. We need to find the concentration at 5.70 seconds ([A]t).

Plugging in the values: ln([A]t/1.16) = -0.184 * 5.70

Solving for [A]t, we find that the concentration of Cl2O5 in the vessel 5.70 seconds later is approximately 0.64 M.

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Given data: Rate constant (k) = 0.184 s⁻¹

Initial concentration (Cl₂O₅) = 1.16 M

Time (t) = 5.70 s

To find the concentration of Cl₂O₅ after 5.70 seconds  

We know that the first-order integrated rate law equation is:

ln([A]t/[A]0) = -where [A]t and [A]0 are the concentrations of reactant at time 't' and initial time '0' respectively. We can rearrange this equation to find the concentration of the reactant at any time 't':[A]t = [A]0 × e^(-kt)Putting the values in the equation, we get:

[Cl₂O₅]5.70 = 1.16 M × e^(-0.184 s⁻¹ × 5.70 s)

[Cl₂O₅]5.70 = 0.501

Therefore, the concentration of Cl₂O₅ in the vessel 5.70 seconds later is 0.501 M.

How is n1 in the Rydberg equation related to the quantum number n in the Bohr model of the atom?

Answers

Explanation:

The n in Bohr model of the atom is principle quantum number.

The Rydberg n integer stats represent electron orbits at various integral distances from the atom in Bohr's conceptualization of the atom. Subsequent models discovered that the values for n1 and n2 match the two orbitals ' principle quantum numbers.

Final answer:

The Rydberg equation and the Bohr model are related through the principal quantum number n. In the Rydberg equation, n1 and n2 represent initial and final energy levels during an electron transition, similar to the energy levels denoted by n in the Bohr model of the atom. This relationship explains the emission spectra of atoms such as hydrogen.

Explanation:

The Rydberg equation relates to the Bohr model through the quantum number n. In the Rydberg equation, n1 corresponds to the lower energy level (or orbit) from which an electron transitions to a higher energy level designated by n2 where n2 > n1. The principle quantum number n in the Bohr model signifies distinct energy levels or orbits in which electrons can reside around the nucleus, with the lowest energy state starting at n=1 and increasing integers signifying higher energy states.

When an electron jumps between energy levels, light is emitted, and the wavelength of this light can be calculated using the Rydberg formula, which includes the Rydberg constant and the initial and final principal quantum numbers. For the hydrogen atom, transitions to the ground state (n = 1) produce the Lyman series in the ultraviolet band, while transitions to the first excited state (nf = 2) result in the Balmer series in the visible band, and so on for higher energy levels.

Pepsinogen is the inactive protease secreted by the chief cells in the stomach; this enzyme is converted to the active form called ______ in the presence of HCl. The primary role of this enzyme is the digestion of proteins in the stomach.a. Bicarbonateb. Pepsinc. Hydrochloric acid

Answers

Answer:

b. Pepsin

Explanation:

In the stomach, when dygestion takes place,pepsinogen is secreted  in the stomach for the dygestion of proteins, which are catalyzed to aminoacids for the use of the body.

When the pepsinogen gets in contact with the HCl it converts to pepsin, which is the actived form of the pepsinogen.

Final answer:

Pepsinogen is converted into its active form, called Pepsin, under acidic conditions rendered by Hydrochloric acid (HCl). Pepsin, once activated, aids in protein digestion.

Explanation:

Pepsinogen, an inactive protease, is secreted by the chief cells located in the stomach. Under the acidic condition produced by the presence of Hydrochloric acid (HCl), pepsinogen is converted into its active form, known as Pepsin. Pepsin plays an integral role in the process of digestion, specifically assisting in the breakdown of proteins in the stomach.

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