Citrate synthase catalyzes the reaction: ????x????????o????c???????????????????? + ????c????????y???? − ????o???? → c???????????????????????? + H???? − ????o???? The standard free energy change for the reaction is −31.5 ???????? ∙ mo????−1. Calculate the equilibrium constant for this reaction at 37℃.

Answers

Answer 1

The given question is incomplete. The complete question is as follows.

Citrate synthase catalyzes the reaction

Oxaloacetate + acetyl-CoA [tex]\rightarrow[/tex] citrate + HS-CoA

The standard free energy change for the reaction is -31.5 kJ*mol^-1

( a) Calculate the equilibrium constant for this reaction a 37degrees C

Explanation:

(a).  It is known that , relation between change in free energy ([tex]\Delta G[/tex]) of a reaction and equilibrium constant (K) is as follows.

             [tex]\Delta G = -RT \times ln K[/tex]  

where,  T = temperature in Kelvin

The given data is as follows.

         T = 310 K,       [tex]\Delta G = -31.5 kJ /mol = -31500 J/mol[/tex]  (as 1 kJ = 1000 J)

Now, putting the given values into the above formula as follows.

     ln K = [tex]\frac{-(\Delta G)}{RT}[/tex]

            = [tex]\frac{31500}{8.314 \times 310}[/tex]

      ln K = 12.22

         K = antilog (12.22)

           = [tex]2.1 \times 10^{5}[/tex]

Therefore, we can conclude that value of equilibrium constant for the given reaction is [tex]2.1 \times 10^{5}[/tex].


Related Questions

A chemical reaction in which two elements or radicals change places with two other elements or radicals is a _______ reaction. A. combination B. double replacement C. substitution D. decomposition

Answers

Answer: B

Double replacement reaction

Explanation:

-----40 points-----

Magnesium is able to ____ copper, and copper is able to ____ magnesium.

Zinc is able to ____ magnesium, and magnesium is able to ____ zinc.

Copper is able to ____ zinc, and zinc is able to ____ copper.


In every blank, the options are "oxidize" and "reduce"

Answers

Answer:

1. Reduce

2. Oxidize

3. Oxidize

4. Reduce

5. Oxidize

6. Reduce

Explanation:

Answer:

1. Reduce, Oxidize

2.Oxidize, reduce

3.Reduce, Oxidize

Explanation:

ANSWER NEEDED FAST 15 POINTS
WILL GIVE BRAINLIEST

How many grams of oxygen are required to burn 60 grams of ethane gas, C2H6?
2 C2H6 (g) + 7 O2(g) → 4 CO2 (g) + 6 H2O (g)

____grams

Answers

Answer:

224 grams of O₂

Explanation:

This is the reaction:

2 C₂H₆ (g) + 7 O₂(g) → 4 CO₂ (g) + 6 H₂O (g)

2 moles of ethene react with 7 moles of oxygen.

Let's convert the ethene's mass into moles (mass / molar mass)

60 g / 30 g/m = 2 mol

So, if 2 moles of ethene must react with 7 moles of O₂ and we have 2 moles, obviously we would need 7 moles of oyxgen.

Let's convert the moles to mass ( mol . molar mass)

7 m . 32 g/m = 224 grams

Answer: Mass of O2 is 224g

Explanation:

From the equation of the reaction, Ethane to oxygen is 2 to 7

While the molar masses respectively gives 30 and 32 g/mol

2 moles of methane gives 7 moles of O2;

60g/30=2moles for methane gives x/32 for O2;

Cross multiplying yields

7 x 2 = 2 x mass of O2/32

14 = 2x/32

Final answer gives 224 grams of oxygen

Gastric juices have a pH of 1 or 2. This would indicate which of the following?-neutral fluids, perfect for decomposition reactions-numerous H+ ions and a low pH-numerous OH- ions and a high pH-numerous OH- ions and a low pH

Answers

Answer:

Gastric juices have a pH of 1 or 2. This would indicate numerous H+ ions and a low pH

Explanation:

Highers concentrations of [H⁺] means very low pH.

pH = - log [H⁺]

Imagine this two concentrations:

[H⁺]₁ = 0.2 M

[H⁺]₂ = 0.0006 M

[H⁺]₁ > [H⁺]₂

pH₁ = - log 0.2 → 0.70

pH₂ = - log 0.0006 → 3.22

Then pOH₁ = 14 - 0.70 = 13.30

pOH₂ = 14 - 3.22 = 10.78

[OH⁻]₁ = 10^-pOH = 5.01×10⁻¹⁴

[OH⁻]₂ = 10^-pOH = 1.66×10⁻¹¹

As pH is so low, [OH⁻] is more and more lower.

Chlorofluorocarbons (CFCs) such as CF₂Cl₂ are refrigerants whose use has been phased out because of their destructive effect on Earth's ozone layer. The standard enthalpy of evaporation of CF₂Cl₂ is 17.4 kJ/mol, compared with ΔH°vap = 41 kJ/mol for liquid water.

Answers

From what we have below, we can see the complete and full question.

Chlorofluorocarbons (CFCs) such as CF2Cl2 are refrigerants whose use has been phased out because of their destructive effect on Earth's ozone layer. The standard enthalpy of evaporation of CF2Cl2 is 17.4 kJ/mol, compared with delta Hvaporization = 41 kJ/mol for liquid water. How many grams of liquid CF2Cl2 are needed to cool 122.1 g of water from 48.6 to 27.6 degrees Celsius? The specific heat of water is 4.184 J/(g x degrees Celsius).

Answer:

74.56 g

Explanation:

Given that;

The standard enthalpy of evaporation of CF₂Cl₂ = 17.4 kJ/mol

Δ [tex]H_{vapourization}[/tex] = 41kJ/mol (for liquid water)

grams of liquid CF₂Cl₂ (i.e Mass of CF₂Cl₂ required to absorb the heat from water) = ???

mass( in gram) of water = 122.1g

Temperature (T₁) = 48.6°C

Temperature (T₂) = 27.6°C

ΔT = (T₂ - T₁) = 27.6° - 48.6° = -21°C

Specific heat of water (C) = 4.18 J/g*deg*°C

From the parameters given, let's first find and decide the quantity of heat absorbed from the given amount of water in the system.

Q (quantity of heat) = mCΔT

= 122.1 g × 4.18 J/g*deg*°C × 27.6°C

= -10728.1944 J

= -10.73 kJ

-10.73 kJ is the amount of heat given to CF₂Cl₂ by the water.

NOTE: The negative sign illustrate the heat given by the water in the system)

Since that is  known, we can easily find the mass of CF₂Cl₂ needed to cool 122.1 g of water.

Since the molar mass of  CF₂Cl₂ = 120.91 g /mol

∴ Mass of CF₂Cl₂  needed to cool 122.1g of water = [tex]\frac{10.73kJ}{17.4kJ}*120.91g)

= 74.56g

A 6.00 L vessel contains 20.0 g of PCl3 and 3.15 g of O2 at 15.0 ∘C. The vessel is heated to 210 ∘C, and the contents react to give POCl3. What is the final pressure in the vessel, assuming that the reaction goes to completion and that all reactants and products are in the gas phase?

Answers

Answer: The final pressure in the vessel will be 0.965 atm

Explanation:

To calculate the number of moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]      .....(1)

For phosphorus trichloride:

Given mass of phosphorus trichloride = 20.0 g

Molar mass of phosphorus trichloride = 137.3 g/mol

Putting values in equation 1, we get:

[tex]\text{Moles of phosphorus trichloride}=\frac{20.0g}{137.3g/mol}=0.146mol[/tex]

For oxygen gas:

Given mass of oxygen gas = 3.15 g

Molar mass of oxygen gas = 32 g/mol

Putting values in equation 1, we get:

[tex]\text{Moles of oxygen gas}=\frac{3.15g}{32g/mol}=0.098mol[/tex]

The chemical equation for the reaction of phosphorus trichloride and oxygen gas follows:

[tex]2PCl_3+O_2\rightarrow 2POCl_3[/tex]

By Stoichiometry of the reaction:

2 moles of phosphorus trichloride reacts with 1 mole of oxygen gas

So, 0.146 moles of phosphorus trichloride will react with = [tex]\frac{1}{2}\times 0.146=0.073mol[/tex] of oxygen gas

As, given amount of oxygen gas is more than the required amount. So, it is considered as an excess reagent.

Thus, phosphorus trichloride is considered as a limiting reagent because it limits the formation of product.

By Stoichiometry of the reaction:

2 moles of phosphorus trichloride produces 2 moles of [tex]POCl_3[/tex]

So, 0.146 moles of phosphorus trichloride will produce = [tex]\frac{2}{2}\times 0.146=0.146mol[/tex] of [tex]POCl_3[/tex]

To calculate the pressure of the vessel, we use the equation given by ideal gas follows:

[tex]PV=nRT[/tex]

where,

P = pressure of the vessel = ?

V = Volume of the vessel = 6.00 L

T = Temperature of the vessel = [tex]210^oC=[210+273]K=483K[/tex]

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

n = number of moles = 0.146 moles

Putting values in above equation, we get:

[tex]P\times 6.00L=0.146mol\times 0.0821\text{ L atm }mol^{-1}K^{-1}\times 483K\\\\P=\frac{0.146\times 0.0821\times 483}{6.00}=0.965atm[/tex]

Hence, the final pressure in the vessel will be 0.965 atm

Answer:

The final pressure in the vessel is 1.13 atm

Explanation:

Step 1: Data given

Volume of the vessel = 6.00 L

Mass of PCl3 = 20.0 grams

Mass of O2 = 3.15 grams

Temperature = 15.0 °C

The vessel is heated to 210°C

Molar mass of PCl3 = 137.33 g/mol

Step 2: The balanced equation

2PCl3 + O2 → 2POCl3

Step 3: Calculate moles PCl3

MolesPCl3 = mass PCl3 / molar mass PCl3

Moles PCl3 = 20.0 grams / 137.33 g/mol

Moles PCl3 =0.146 moles PCl3

Step 4: Calculate moles O2

Moles O2 = 3.15 grams/ 32.0 g/mol

Moles O2 = 0.0984 moles O2

Step 5: Calculate the limiting reactant

PCl3 is the limiting reactant. It will completely be consumed(0.146 moles). So at completion there is no PCl3 remaining.

O2 is in excess. There will react 0.146/2 = 0.073 moles. There will remain 0.0984 - 0.073 = 0.0254 moles O2

Step 6: Calculate moles POCl3

For 2 moles PCl3 we need 1 mol O2 to produce 2 moles POCl3

For 0.146 moles PCl3 we'll have 0.146 moles POCl3

Step 7: Calculate final pressure

p*V = n*R*T

p = (n*R*T)/V

⇒ with n = the number of moles = 0.146 moles of POCl3 produced + 0.0254 moles O2 remaining = 0.1714 moles gas

⇒ with R = the gas constant = 0.08206 L*atm/mol*K

⇒with T = the temperature = 210 +273 = 483 Kelvin

⇒ with V = the volume = 6.00 L

p = (0.1714 *0.08206 * 483) / 6.00

p = 1.13 atm

The final pressure in the vessel is 1.13 atm

The following substances dissolve when added to water. Classify the substances according to the strongest solute-solvent interaction that will occur between the given substances and water during dissolution.

1.ion-ion forces

2.dipole dipole forces

3.ion dipole forces

4.london dispersion forces



A. HF

B.CH3OH

C.CaCl2

D. FeBr3

Answers

Final answer:

HF and CH3OH exhibit dipole-dipole forces when dissolved in water because they both can form hydrogen bonds. CaCl2 and FeBr3 display ion-dipole forces in water because they are ionic compounds.

Explanation:

When these substances are added to water, they exhibit different solute-solvent interactions due to their different properties.

HF (Hydrofluoric Acid): It exhibits dipole-dipole forces. HF can form hydrogen bonds, which is a type of dipole-dipole interaction, with water. CH3OH (Methanol): Similar to HF, methanol will also exhibit dipole-dipole forces when dissolved in water due to its ability to form hydrogen bonds. CaCl2 (Calcium Chloride): The interaction here are ion-dipole forces. Calcium chloride is an ionic compound and when added to water, it dissociates into ions which have strong ion-dipole interaction with water. FeBr3 (Iron (III) Bromide): This is an ionic compound and will also exhibit ion-dipole forces when dissolved in water.

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Although all parts (postulates) of Dalton's atomic theory are important, which one of the postulates is crucial to explain the observations summarized by the Law of Definite Proportions?a. Atoms are very small.b. Atoms of the same elements have the same properties.c. Matter is composed of atoms. d. Atoms chemically combine with other atoms in fixed, whole-number ratios.

Answers

Answer:

The answer is D

Explanation:

Law of Definite Proportions states that a given compound always contain its component elements in fixed ratio (by mass) and does not depend on its source and/or method of preparation.  

If one is to explain the law of definite proportions properly, then Dalton's fourth atomic theory comes to mind which states that atoms chemically combine with other atoms in fixed, whole number ratios.

The law of definite proportions suggests that compounds always contain its component elements in fixed ratio no matter the source, for example, oxygen makes up 8/9 of the mass of the sample of pure water regardless of the source while hydrogen makes up the remaining 1/9 of the mass. This generally shows that when oxygen and hydrogen combine in the ratio 8:1, water molecule will be formed as suggested by the Dalton Atomic Theory.

Final answer:

The Dalton's atomic theory postulate explaining the Law of Definite Proportions is 'Atoms chemically combine with other atoms in fixed, whole-number ratios.' This principle underlies consistent elemental proportions in compounds, such as the 1:8 ratio of hydrogen to oxygen in water.

Explanation:

The postulate of Dalton's atomic theory that is vital to explain the observations summarized by the Law of Definite Proportions is: 'Atoms chemically combine with other atoms in fixed, whole-number ratios.'

This is crucial because the Law of Definite Proportions states that a given compound, regardless of the source or preparation method, will always consist of the same elements in the same proportion by mass.

For example, water (H2O) is always composed of 2 hydrogen atoms and 1 oxygen atom (fixed, whole-number ratio) regardless of the source. In water, the ratio of the mass of hydrogen to oxygen is always 1:8, which corroborates the Law of Definite Proportions.

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I just want to know the steps for how to solve this... literally have an exam tomorrow and I cannot stress enough how much I need to know this, ten points offered

Answers

Answer: 2,625.3 g AlCl3

Explanation: solution attached:

First balance the chemical equation then do basic stoichiometry.

Dihydrogen dioxide decomposes into water and oxygen gas. Calculate the amounts requested if 1.34 moles of dihydrogen dioxide react according to the equation.

You must show all units.

a. Moles of oxygen formed

b. Moles of water formed

c. Mass of water formed

d. Mass of oxygen formed

Answers

Answer:

a) 0.67 moles of O2

b) 1.34 moles H2O

c) 24.15 grams of H2O

d) 21.44 grams O2

Explanation:

Step 1: Data given

Dihydrogen dioxide = H2O2

oxygen gas = O2

Moles H2O2 = 1.34 moles

Molar mass of H2O2 = 34.01 g/mol

Step 2: The balanced equation

2H2O2 → 2H2O + O2

Step 3: Calculate moles of H2O formed

For 2 moles H2O2 we'll have 2 moles H2O produced

For 1.34 moles H2O2 we have 1.34 moles H2O produced

This is 1.34 moles * 18.02 g/mol = 24.15 grams of H2O

Step 4: Calculate moles of O2 formed

For 2 moles H2O2 we'll have 1 mol O2 produced

For 1.34 moles H2O2 we'll have 1.34 /2 = 0.67 moles of O2 produced

This is 0.67 moles * 32.00 g/mol = 21.44 grams O2

Balance the equation and identify the type of reaction for ? P4(s) + ? Ca(s) → ? Ca3P2(s). 1. 2; 6; 2 — decomposition 2. 2; 6; 2 — displacement 3. 1; 6; 2 — displacement 4. 1; 6; 2 — synthesis 5. 2; 6; 2 — synthesis 6. 1; 6; 2 — decomposition

Answers

Answer:

4. 1; 6; 2 — synthesis

Explanation:

Decomposition reaction is defined as the reaction in which a single large substance breaks down into two or more smaller substances.

[tex]AB\rightarrow A+B[/tex]

Single displacement reaction is defined as the reaction in which more reactive element displaces a less reactive element from its chemical reaction.

The reactivity of metal is determined by a series known as reactivity series. The metals lying above in the series are more reactive than the metals which lie below in the series.

[tex]A+BC\rightarrow AC+B[/tex]

Synthesis reaction is defined as the reaction in which smaller substances combine in their elemental state to form a larger substance.

[tex]A+B\rightarrow AB[/tex]

The unbalanced combustion reaction is shown below as:-

[tex]P_4+Ca\rightarrow Ca_3P_2[/tex]

On the left hand side,  

There are 4 phosphorus atoms and 1 calcium atom

On the right hand side,  

There are 2 phosphorus atoms and 3 calcium atoms

Thus,  

Right side, [tex]Ca_3P_2[/tex] must be multiplied by 2 to balance phosphorus.

Left side, [tex]Ca[/tex] is multiplied by 6 so to balance the whole reaction.

Thus, the balanced reaction is:-

[tex]P_4+6Ca\rightarrow 2Ca_3P_2[/tex]

Thus, answer:- 4. 1; 6; 2 — synthesis

I’m having trouble with questions 1, 3, and 5.

Answers

Answer:

sorry i cant read sideways

Explanation:

Which of the following substances is basic? a.Lemon juice b.Vinegar c.Baking Soda (sodium bicarbonate) d.Substance with a pH of 7

Answers

Answer:

c.Baking Soda (sodium bicarbonate)

Explanation:

The Arrhenius theory was introduced introduced by Swedish scientist named Svante Arrhenius in 1887.

According to the theory, acids are the substances which dissociate in the aqueous medium to produce electrically charged atoms ( may be molecule). Out of these species furnished, one must be a proton or the hydrogen ion, [tex]H^+[/tex].

Base are the substances which dissociate in the aqueous medium to produce electrically charged atoms ( may be molecule). Out of these species furnished, one must be a hydroxide ion, [tex]OH^-[/tex].

a. Lemon juice contains citric acid which is an acid.

b. Vinegar contains acetic acid which is an acid.

c. Baking Soda contains sodium bicarbonate and is a base.

Thus, c is the answer.

pH is defined as the negative logarithm of the concentration of hydrogen ions.

Thus,  

pH = - log [H⁺]

pH scale generally runs from 1 to 14 where pH = 7 represents neutral medium, pH < 7 represents acidic medium and pH > 7 represents basic medium.

d. Substance with pH 7 represents neutral solution.


6. Barium sulfate and and sodium sulfate react in a double displacement reaction. If the
reaction starts with 10.25 grams of barium sulfate what are the products and how many moles
of each product is produced?
7. Calculate the moles of Li2SO4that would be needed to produce 385 g of LiOH.

8. Silver nitrate reacts with copper in a single displacement reaction. To produce copper (1)
nitrate and silver. If 3.50 g of silver nitrate are reacted with excess copper. How many mole of
silver would be produced?
9. (Use the chemical equation from above) How many moles of copper (1) nitrate ]can be
produced with and 0.89 grams of copper metal?

Answers

Answer:

6) For 0.04392 moles BaSO4 we need 0.02196 moles Na2SO4

To produce 0.02196 moles Ba2SO4 and 0.04392 moles Na2SO4

7)  For 16.08 moles LiOH we'll have 8.04 moles H2SO4 produced.

We need 8.04 moles Li2SO4 and 8.04 moles H2O

8) For 0.0206 moles silvernitrate we'll hace 0.0206 moles silver

9) For 0.014 moles of Cu we'll have 0.014 moles Cu(NO3)2

Explanation:

6. Barium sulfate and and sodium sulfate react in a double displacement reaction. If the  reaction starts with 10.25 grams of barium sulfate what are the products and how many moles  of each product is produced?

Step 1: Data given

Mass of BaSO4 = 10.25 grams

Molar mass = 233.38 g/mol

Step 2: The balanced equation

2BaSO4 + Na2SO4 → Ba2SO4 + 2NaSO4

Step 3: Calcuate moles BaSO4

Moles BaSO4 = 10.25 grams / 233.38 g/mol

Moles BaSO4 = 0.04392 moles BaSO4

Step 4: Calculate moles

For 2 moles BaSO4 we need 1 mol Na2SO4 to produce 1 mol Ba2SO4 and 2 moles NaSO4

For 0.04392 moles BaSO4 we need 0.04392/2 = 0.02196 moles Na2SO4

To produce 0.02196 moles Ba2SO4 and 0.04392 moles Na2SO4

7. Calculate the moles of Li2SO4that would be needed to produce 385 g of LiOH.

Step 1: Data given

Mass of LiOH = 385 grams

Molar mass of LiOH = 23.95 g/mol

Step 2: The balanced equation

Li2SO4 + 2H2O → 2LiOH + H2SO4

Step 3: Calculate moles LiOH

Moles LiOH = 385.0 grams / 23.95 g/mol

Moles LiOH = 16.08 moles LiOH

Step 4: Calculate moles

For 1 mol Li2SO4 we need 2 moles H2O to produce 2 moles LiOH and 1 mol H2SO4

For 16.08 moles LiOH we'll have 8.04 moles H2SO4 produced.

We need 8.04 moles Li2SO4 and 8.04 moles H2O

8. Silver nitrate reacts with copper in a single displacement reaction. To produce copper (1) nitrate and silver. If 3.50 g of silver nitrate are reacted with excess copper. How many mole of  silver would be produced?

Step 1: Data given

Mass of AgNO3 = 3.50 grams

Molar mass of AgNO3 = 169.87 g/mol

Step 2: The balanced equation

Cu + 2AgNO3 → Cu(NO3)2 + 2Ag

Step 3: Calculate moles AgNO3

Moles AgNO3 = 3.50 grams / 169.87 g/mol

Moles AgNO3 = 0.0206 moles

Step 4: Calculate moles of Ag

For 1 mol copper, we need 2 moles of silvernitrate to produce 1 mol of coppernitrate and 2 moles of silver

For 0.0206 moles silvernitrate we'll hace 0.0206 moles silver

9. (Use the chemical equation from above) How many moles of copper (1) nitrate ]can be  produced with and 0.89 grams of copper metal?

Step 1: Data given

Mass of Cu = 0.89 grams

Molar mass of Cu = 63.55 g/mol

Step 2: The balanced equation

Cu + 2AgNO3 → Cu(NO3)2 + 2Ag

Step 3: Calculate moles Cu

Moles Cu =0.89 grams / 63.55 g/mol

Moles Cu = 0.014 moles

Step 4: Calculate moles of Coppernitrate

For 1 mol copper, we need 2 moles of silvernitrate to produce 1 mol of coppernitrate and 2 moles of silver

For 0.014 moles of Cu we'll have 0.014 moles Cu(NO3)2

Which of the following statements is true? Choose one: Na+ is the most plentiful positively charged ion outside the cell, while K+ is the most plentiful inside. K+ and Na+ are both excluded from cells. K+ and Na+ are present in the same concentration on both sides of the plasma membrane. K+ and Na+ are both maintained at high concentrations inside the cell compared to out. K+ is the most plentiful positively charged ion outside the cell, while Na+ is the most plentiful inside.

Answers

Answer:

Na+ is the most plentiful positively charged ion outside the cell, while K+ is the most plentiful inside.

Explanation:

Sodium ion and potassium ion play an important role in cellular metabolism. Na+ ion present in extracellular fluid while K+ ion is present in intracellular fluid.

Sodium ions are necessary for:

generation of nerve impulse

Heart activities

electrolyte balance

High or low concentration of sodium affects health.

Potassium ions are necessary for:

fluid and electrolyte balance

Na+ ion present in extracellular fluid while K+ ion is present in intracellular fluid.

Therefore, Na+ ion present in extracellular fluid while K+ ion is present in intracellular fluid.

Final answer:

The correct statement is that Na+ is the most plentiful positively charged ion outside the cell, while K+ is more plentiful inside, due to the function of the sodium-potassium pump in the plasma membrane of cells.

Explanation:

The statement that is true among the given options is: Na+ is the most plentiful positively charged ion outside the cell, while K+ is the most plentiful inside. This arrangement is made possible through a process called the sodium-potassium pump, which is part of the plasma membrane of cells. The pump uses ATP to move 3 Na+ out of the cell and 2 K+ into the cell, which helps maintain the cell's resting potential. Therefore, outside of the cells, there is a higher concentration of Na+ ions, while inside the cells, K+ ions are more plentiful.

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What is the intensity in W/m2 of a laser beam used to burn away cancerous tissue that, when 91.0% absorbed, puts 540 J of energy into a circular spot 2.60 mm in diameter in 4.00 s?

Answers

Answer:

2.3x10⁷ W/m²

Explanation:

The intensity (I) of a laser is its potency (P) divided by the area (A) that it is affected. The potency is the energy applied (or absorbed) in a period, thus id 91.0% of the energy is absorbed, so:

E = 0.91*540 = 491.4 J

And,

P = E/t, where t is the time in seconds

P = 491.4/4.00

P = 122.85 J/s

P = 122.85 W

The are of a circular spot is:

A = (π/4)*d²

Where d is the diameter. Thus, with d = 2.60 mm = 0.0026 m

A = (π/4)*(0.0026)²

A = 5.31x10⁻⁶ m²

I = P/A

I = 122.85/5.31x10⁻⁶

I = 2.3x10⁷ W/m²

Explain why can two nonmetals bond together, but two metals cannot? A) Metals will only form covalent bonds. B) Nonmetals can share pairs of electrons and form ionic bonds. C) Nonmetals can share pairs of electrons and form covalent bonds. D) Metals will only share electrons and therefore cannot form ionic bonds.

Answers

Answer: C) Non-metals can share pairs of electrons and form covalent bonds

Explanation: The principal reason why it is non-metals that can form covalent bonds is because of their electronegativities. Electronegativity is the tendency of an atom to attract electrons towards itself.

The participating atoms in a covalent bond have to be able to hold the shared electron in place & it is this attraction towards the centre of each participating atom that holds the electrons in place. Metals aren't electronegative, they don't attract electrons towards each other, they'd rather even push the electrons away from themselves (electropositive) to be stable. The closest concept of metals to shared electrons is in metallic bonding, where metals push and donate their valence electrons to an electron cloud which is free to move around the bulk of the metallic structure. But this is nowhere near the type of bonding that exist in covalent bonds.

Answer:

C) Nonmetals can share pairs of electrons and form covalent bonds.

Explanation:

Predict the shift in equilibrium position that will occur for each of the following reactions when the volume of the reaction container is increased.
A) 2COF2(g)⇌CO2(g)+CF4(g).
i) to the left.
ii) to the right.
iii) does not shift.
B) 2NO(g)+O2(g)⇌2NO2(g).
i) to the left.
ii) to the right.
iii) does not shift.
C) 2N2O5(s)⇌4NO2(g)+O2(g).
i) to the left.
ii) to the right.
iii) does not shift.
D) 2SO2(g)+O2(g)⇌2SO3(g).
i) to the left.
ii) to the right.
iii) does not shift.
E) PCl5(g)⇌PCl3(g)+Cl2(g).
i) to the left.
ii) to the right.
iii) does not shift.

Answers

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.

Increase the volume:

If the volume of the container is increased, the pressure will decrease according to Boyle's Law. Now, according to the Le-Chatlier's principle, the equilibrium will shift in the direction where increase in pressure is taking place. So, the equilibrium will shift in a direction where more number gaseous moles are present.

A) [tex]2COF_2(g)\rightleftharpoons CO_2(g)+CF_4(g)[/tex]

Number of gaseous moles on reactant side = 2

Number of gaseous moles on product side = 2

Equilibrium will not shift any direction as on both sides number of gaseous moles are same.

B) [tex]2NO(g)+O_2(g)\rightleftharpoons 2NO_2(g)[/tex]

Number of gaseous moles on reactant side = 3

Number of gaseous moles on product side = 2

Equilibrium will shift any left direction.

C) [tex]2N_2O_5(g)\rightleftharpoons 4NO_2(g)+O_2[/tex]

Number of gaseous moles on reactant side = 2

Number of gaseous moles on product side = 5

Equilibrium will shift any right direction.

D) [tex]2SO_2(g)+O_2(g)\rightleftharpoons 2SO_3(g)[/tex]

Number of gaseous moles on reactant side = 3

Number of gaseous moles on product side = 2

Equilibrium will shift any left direction.

E) [tex]PCl_5\rightleftharpoons PCl_3(g)+Cl_2(g)[/tex]

Number of gaseous moles on reactant side = 1

Number of gaseous moles on product side = 2

Equilibrium will shift any right direction.

In a reaction vessel, 17.6 g of solid chromium(III) oxide, Cr2O3, was allowed to react with excess carbon tetrachloride in the following reaction.
Cr2O3(s) + 3 CCl4(l) → 2 CrCl3(s) + 3 COCl2(aq)
Determine the percent yield of the reaction, given that the actual yield of chromium chloride, CrCl3, was 26.6 g. (The molar mass of Cr2O3 is 152.00 g/mol and the molar mass of CrCl3 is 158.35 g/mol.)

Answers

Answer:

72.53% is the yield of CrCl3

Explanation:

Given

Reaction:

Cr2O3(s) + 3 CCl4(l) → 2 CrCl3(s) + 3 COCl2(aq)

CCl4 is in excess and 17.6g  Cr2O3 present

The reaction yields 26.6g of CrCl3

To Find:

% yields of the reaction

Also given

Molar mass of CrCl3 = 158.35g/mol

Molar mass of Cr2O3 = 152.00 g/mol

By the stoichiometry of the reaction

1 mole of Cr2O3 gives  2 moles of CrCl3

0r

1 x1 52 g of Cr2O3 gives 2x 158.35 g of CrCl3

= 1 52 g of Cr2O3 gives 316.70 g of CrCl3

    17.6 g of Cr2O3 gives  (17.6÷152) × 316.70 g CrCl3

= 36.67 g CrCl3

but actual yield is only 26.6g

so % yield is (26.6 ÷÷ 36.67) × 100

= 72.53% is the yield of CrCl3

Final answer:

To calculate the percent yield, the number of moles of chromium(III) oxide used was first determined, which was then used to find the theoretical yield of chromium chloride. The actual yield of chromium chloride is compared to this theoretical yield to find that the percent yield of the reaction is approximately 72.48%.

Explanation:

The student asked to calculate the percent yield of a chemical reaction involving chromium(III) oxide (Cr2O3) and carbon tetrachloride (CCl4). To find the percent yield, we need to compare the actual yield to the theoretical yield. First, we calculate the number of moles of Cr2O3 that react. With a molar mass of 152.00 g/mol, 17.6 g of Cr2O3 is equivalent to 0.1158 moles. According to the stoichiometry of the balanced equation, 1 mole of Cr2O3 produces 2 moles of CrCl3, which suggests that 0.1158 moles of Cr2O3 would yield 0.2316 moles of CrCl3. Using the molar mass of CrCl3 (158.35 g/mol), the theoretical yield of CrCl3 can be found as 0.2316 moles × 158.35 g/mol = 36.7 g.

Now, we calculate the percent yield using the actual yield (26.6 g) and the theoretical yield (36.7 g).

Percent Yield = (Actual Yield / Theoretical Yield) × 100 = (26.6 g / 36.7 g) × 100 ≈ 72.48%

Therefore, the percent yield of chromium chloride in the reaction is approximately 72.48%.

Show how to calculate the mass of a proton, neutron, and electron in kilograms using the data and the equality statement 1 amu = 1.66054 × 10-27 kg?

Answers

Answer:

Proton: m= 1.6726x10⁻²⁷ kg

Neutron: m= 1.6749x10⁻²⁷ kg

Electron: m= 9.1164x10⁻³¹ kg

Explanation:

We can calculate the mass of a proton, neutron, and electron using the following data:

mass of proton: 1.00728 amu

mass of neutron: 1.00867 amu

mass of electron: 5.49x10⁻⁴ amu

1 amu = 1.66054x10⁻²⁷ kg

Now, the mass of a proton, neutron, and electron in kilograms can be calculated using the next relation:

[tex] m = 1.66054 \cdot 10^{-27} \frac{kg}{amu} \cdot particle's mass (amu) [/tex]

For the proton:

[tex] m = 1.66054 \cdot 10^{-27} \frac{kg}{amu} \cdot 1.00728 amu = 1.6726 \cdot 10^{-27} kg [/tex]

For the neutron:    

[tex] m = 1.66054 \cdot 10^{-27} \frac{kg}{amu} \cdot 1.00867 amu = 1.6749 \cdot 10^{-27} kg [/tex]

For the electron:

[tex] m = 1.66054 \cdot 10^{-27} \frac{kg}{amu} \cdot 5.49x10⁻⁴ amu = 9.1164 \cdot 10^{-31} kg [/tex]    

I hope it helps you!

Final answer:

The masses of proton, neutron, and electron are approximately 1.6726 x 10-27 kg, 1.6749 x 10-27 kg and 9.109 x 10-31 kg, respectively. This is calculated by multiplying each particle's mass in Atomic Mass Units by the factor 1.66054 × 10-27 kg/amu.

Explanation:

To calculate the mass of a proton, neutron, and electron in kilograms, we must know their masses in Atomic Mass Units (amu). We know that 1 amu = 1.66054 × 10

-27 kg. Using this we can get the masses as:

The mass of a proton is approximately 1.007 amu. So, converting this to kilograms we get 1.007 amu * 1.66054 × 10-27 kg/amu ≈  1.6726 × 10-27 kg.The mass of a neutron is approximately 1.008 amu. Converting to kilograms, we get 1.008 amu * 1.66054 × 10-27 kg/amu ≈  1.6749 × 10-27 kg.The mass of an electron is approximately 0.00055 amu. In kilograms, this becomes 0.00055 amu * 1.66054 × 10-27 kg/amu ≈ 9.10938356 × 10-31 kg.

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Given the different molecular weights, dipole moments, and molecular shapes, why are their molar volumes nearly the same?

Answers

Answer:

Explanation:

Because most of the volume occupied by the substance is empty space.

The radioactive decay of 99mTc to 99Tc MUST occur with the emission of:_______.
a) the combination of a beta particle and a gamma ray.
b) a gamma ray alone.
c) an alpha particle alone.
d) two beta particles.

Answers

Answer:

The answer is (B) A gamma ray alone

Explanation:

Technetium-99m decays through a process called isomeric transition involving the decay of 99mTc to 99TC via the release of gamma rays and low energy electron

after charcoal is added, the solution is filtered by hot gravity filtration. Why does the solution need to remain hot during the filtration to remove charcoal?

Answers

Answer:

The solution needs to remain hot during filtration in order to remove impurities and charcoal that are insoluble in the crystallization solvent, also to prevent crystals form prematurely on the paper filter or on the funnel stem.

Nitrogen gas rreacts with hydrogen gas to form ammonia. At 200 celcius iun a closed container, 1 atm of nitrogen gas is mixed with 2 atm of hydogen gas. At equilibnrium, the toal pressure is 2 atm. Calcualate the value of [tex]K_p[/tex]?

Answers

Answer:

The value of Kp is 4

Explanation:

Step 1: Data given

The initial pressure of N2 = 1 atm

The initial pressure of  H2 = 2 atm

Temperature = 200 °C

At equilibnrium, the toal pressure is 2 atm

Step 2: The balanced equation

N2(g) + 3H2(g) → 2NH3(g)

Step 3: The initial pressures

N2 = 1.0 atm

H2 = 2.0 atm

NH3 = 0 atm

Step 4: The partial pressures at equilibrium

For 1 mol N2 we need 3 moles H2 to produce 2 moles NH3

There will react X moles of N2,

There will react 3X moles of H2

There will be produced 2X moles NH3

The partial pressure of N2 at the equilibrium is (1.0 -X)atm

The partial pressure of H2 at the equilibrium is (2.0 - 3X)atm

The partial pressure of NH3 at the equilibrium is 2X

The total pressure at the equilibrium = 2.0 atm

The total pressure = pN2 + pH2 +pNH3 = 2.0 atm

2.0 atm = (1.0-X) + (2.0 - 3X) + 2X

2.0 =3.0 -2X

X = 0.50

The partial pressure of N2 at the equilibrium is (1.0 -0.50) = 0.50 atm

The partial pressure of H2 at the equilibrium is (2.0 - 3*0.5) = 0.50 atm

The partial pressure of NH3 at the equilibrium is 2*0.5 = 1.0 atm

Step 5: Calculate Kp

Kp = pNH3 / (pN2)*(pH2)

Kp = 1.0 / (0.5*0.5)

Kp = 4

The value of Kp is 4

Calculate the atomic mass of gallium if gallium has 2 naturally occurring isotopes with the following masses and natural abundances: Ga-69 68.9256 amu 60.11% Ga-71 70.9247 amu 39.89%?

Answers

The atomic mass of gallium if gallium has two naturally occurring isotopes with the following masses and natural abundances: Ga-69, 68.9256 amu 60.1%, and Ga-71, 70.9247 amu 39.9%, is 69.7376073 amu. Hence, option d is the correct answer.

Given the isotopes and their masses and abundances:

Ga-69 with a mass of 68.9256 amu and an abundance of 60.1%.

Ga-71 with a mass of 70.9247 amu and an abundance of 39.9%.

Atomic mass ([tex]M_a_t_o_m_i_c[/tex]) using the formula.

[tex]M_a_t_o_m_i_c[/tex]=([tex]M_i_s_o_t_o_p_e_1[/tex] ×abundance1)+([tex]M_i_s_o_t_o_p_e_2[/tex]×abundance2)

[tex]M_a_t_o_m_i_c[/tex]=(68.9256amu×0.601)+(70.9247amu×0.399)

[tex]M_a_t_o_m_i_c[/tex]=41.413512amu+28.3240953amu

[tex]M_a_t_o_m_i_c[/tex]=69.7376073amu

Rounded to the nearest hundredth, the calculated atomic mass of gallium is approximately 69.73 amu. The closest option is "d that is 69.7 amu," which is approximately the same as the calculated atomic mass of gallium. Hence, option d is the correct answer.

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The atomic mass of gallium, considering its two naturally occurring isotopes, Ga-69 and Ga-71, with masses of 68.9256 amu and 70.9247 amu at abundances of 60.11% and 39.89% respectively, is approximately 69.7171 amu.

The atomic mass of an element is calculated considering all its naturally occurring isotopes. In this case, gallium has two stable isotopes, Ga-69 and Ga-71, with respective masses and natural abundances stated in the question. Here are the steps to calculate the atomic mass of gallium:

Firstly, we multiply the mass of each isotope by its natural abundance:

For Ga-69:

68.9256 amu * 60.11 / 100 = 41.4292 amu

For Ga-71:

70.9247 amu * 39.89 / 100 = 28.2879 amu

Then, we add the results to get the atomic mass:

41.4292 amu + 28.2879 amu = 69.7171 amu

So, the atomic mass of gallium is approximately 69.7171 amu.

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Ammonia can be prepared by the reaction of magnesium nitride with water. The products are ammonia and magnesium hydroxide. When the equation is written and balanced, the coefficient of water is

1. 3
2. 2.
3. 6.
4. 1.

Answers

Answer:

Mg₃N₂ + 6H₂O  →  2NH₃  +  3Mg(OH)₂

Coefficient of water is 6 (option 3)

Explanation:

The reaction is:

Mg₃N₂ + H₂O  →  NH₃  +  Mg(OH)₂

Let's balance the reaction.

In reactant side we have 3 Mg, therefore in product side, we add 3 Mg to the hydroxide.

This change, modified the hydroxide, so now we have 6 O and 6 H, but we have in total 9 H (6 from the hydroxide + 3 from the ammonia)

As we have 2N, in reactant side, we must add 2 N to the ammonia, so now

we have 12 H in product side . We must complete with 6, the water so the H are ballanced.

In reactant side we have 6 O, therefore in product we must have 6 O (two O, in the OH but we have 3 moles, so in total we have 6 O) - BALANCED

The balance reaction is:

Mg₃N₂ + 6H₂O  →  2NH₃  +  3Mg(OH)₂

Final answer:

The chemical reaction of magnesium nitride with water to form ammonia and magnesium hydroxide has a coefficient of 6 for water in the balanced equation.

Explanation:

Preparing ammonia through the reaction of magnesium nitride with water yields ammonia and magnesium hydroxide. The balanced chemical equation for this reaction is: Mg3N2 + 6H2O → 3NH3 + 3Mg(OH)2. Thus, the coefficient of water in the balanced chemical equation is 6, which corresponds to option number 3 in your question.

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Consider two 5 L chambers. In one, there are 5.00 g O₂, and in the other there are 5.00 g He. Which has the higher pressure at room temperature?
A) O₂
B) Не
C) They have equal pressures
D) Not enough info

Answers

Answer:

He have higher pressure at room temperature.

Explanation:

It is given that both the gases are kept in 5 L chambers.

Therefore, volume is constant.

Also, they both are at room temperature, so temperature is also constant.

Now, number of moles of [tex]O_2[/tex] = [tex]\dfrac{Given\ mass}{Molecular \ mass}=\dfrac{5}{32}=0.16\ mol.[/tex]

Also, number of moles of He =[tex]\dfrac{Given\ mass}{Molecular \ mass}=\dfrac{5}{4}=1.25\ mol.[/tex]

Now, according to GAS LAW,

[tex]PV=nRT[/tex]  ( all terms have their usual meaning).

In this case, V, R and T are constant.

So, pressure is directly proportional to n i.e number of moles.

So, moles of He is more than moles of [tex]O_2[/tex].

Therefore, He have higher pressure at room temperature.

Hence , this is the required solution.

The gas that has a higher pressure is He.

Number of moles of oxygen gas = 5.00 g /32 g/mol = 0.156 moles

From PV = nRT

P = ?

V = 5 L

n =  0.156 moles

T = 25 + 273 = 298 K

R = 0.082 atmLK-1mol-1

P = nRT/V

P =  0.156 moles × 0.082 atmLK-1mol-1 × 298 K/5 L

P = 0.76 atm

Number of moles of He = 5/4 g/mol = 1.25 moles

P = ?

V = 5 L

n = 1.25 moles

T = 25 + 273 = 298 K

R = 0.082 atmLK-1mol-1

P = nRT/V

P =1.25 moles × 0.082 atmLK-1mol-1 × 298 K/5 L

P = 6.11 atm

The gas that has a higher pressure is He.

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The infrared spectrum above represents the absorption of certain wavelengths of radiation by molecules of CO2. Which of the following best explains what occurs at the molecular level as the CO2 molecules absorb photons of the infrared radiation?

Answers

Answer:

Carbon Dioxide is an Infrared Radiation Absorber. The (CO2) molecules also emits the absorbed infrared (IR) radiation energy. The photon energy from the infrared radiation causes the CO2 molecule to vibrate. Only some of its vibrational modes absorb infrared radiation

Explanation:

Its linear structure is considered when working with the formula to calculate the number of molecular vibrational modes. It has 3n - 4 vibrational modes, where n is the number of atoms in a compound of CO2

With 3 atoms, CO2 has

3n−5=4 types or patterns of vibration

1. The symmetric stretch

2. The asymmetric stretch

3. The bend

The symmetric stretch vibrational mode is ir-inactive.

The asymmetric stretch is ir-active as it results in changes in dipole moment

The bend is ir-active as well as it results in a change in dipole moment too.

At the molecular level as the CO2 molecules absorb photons of the infrared radiation, the atoms in the CO2 molecules increase their vibration as the bonds between the atoms bend and stretch.

The question is incomplete, the complete question is;

The infrared spectrum above represents the absorption of certain wavelengths of radiation by molecules of CO2. Which of the following best explains what occurs at the molecular level as the CO2 molecules absorb photons of the infrared radiation?

The atoms in the CO2 molecules increase their vibration as the bonds between the atoms bend and stretch. The molecules of CO2 increase the energy of their rotational motions. The electrons in the valence shells of the atoms in the CO2 molecules are promoted to higher electronic energy levels. The bonds between the atoms in the CO2 molecules are continuously broken and then re-form.

The infrared spectrum of molecules is based on changes in the vibrational energy levels within the molecule.

Infrared radiation causes bonds to vibrate. The nature of the vibration may be stretching or bending.

So, when CO2  molecules are irradiated with infrared radiation, at the molecular level, CO2 molecules absorb photons of the infrared radiation, the atoms in the CO2 molecules increase their vibration as the bonds between the atoms bend and stretch.

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. Naturally occurring element X exists in three isotopic forms: X-28 (27.979 amu, 92.21% abundance), X-29 (28.976 amu 4.70% abundance), and X-30 (29.974 amu 3.09% abundance). Calculate the atomic weight of X. a. 29.09 amu b. 28.09 amu c. 35.29 amu d. 86.93 amu e. 25.80 amu

Answers

Answer:

The correct answer is option b.

Explanation:

Average atomic mass of an element 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] .....(1)

We are given:

Mass of isotope X-28 = 27.979 amu

Percentage abundance of isotope X-28 = 92.21%

Fractional abundance of isotope X-28 = 0.9221

Mass of isotope X-29 = 28.976 amu

Percentage abundance of isotope X-29 = 4.70%

Fractional abundance of isotope X-29 = 0.047

Mass of isotope X-30= 29.974 amu

Percentage abundance of isotope X-30 = 3.09%

Fractional abundance of isotope X-30 = 0.0309

Putting values in equation 1, we get:

[tex]\text{Average atomic mass of X}=\sum[(27.979 amu\times 0.9221)+(28.976 amu\times 0.047)+(29.974 amu\times 0.0309)][/tex]

[tex]\text{Average atomic mass of X}=28.09 amu[/tex]

The atomic weight of X is 28.09 amu.

Final answer:

The atomic weight of element X is calculated by considering the masses and abundances of its isotopes. By multiplying each isotope's mass by its abundance and summing up the products, the atomic weight of X can be determined to be 28.985 amu. Closest option to answer is option a.

Explanation:

The atomic weight of an element is calculated by taking into account the masses and abundances of its isotopes. In this case, element X exists in three isotopic forms with different masses and abundances. To calculate the atomic weight of X, we multiply the mass of each isotope by its abundance and sum up the products.

Mass (amu) of X-28 multiplied by its abundance:

(27.979 amu * 0.9221) = 25.699 amu

Mass (amu) of X-29 multiplied by its abundance:

(28.976 amu * 0.047) = 1.361 amu

Mass (amu) of X-30 multiplied by its abundance:

(29.974 amu * 0.0309) = 0.925 amu

Summing up the products:

25.699 amu + 1.361 amu + 0.925 amu = 28.985 amu

Therefore, the atomic weight of X is 28.985 amu.

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How many grams of aluminum metal can be produced when 50.0 grams of aluminum chloride decompose? 2AlCl3 → 2Al + 3Cl2

Answers

Answer:

10.1 g of Al are formed

Explanation:

The reaction is:

2AlCl3 --> 2Al + 3Cl2

So 2 moles of aluminun chloride decompose into 2 moles of Al and 3 moles of chlorine.

Ratio is 2:2.

Let's convert the mass of salt into moles (mass / molar mass)

50 g / 133.34 g/mol = 0.374 moles.

As the ratio is 2: 2, if I have 0.374 moles of salt, I would produce the same amount of Al, just 0.374.

Let's convert the moles to mass

(Mol . molar mass)

0.374 mol . 26.98 g / mol = 10.1 g of Al are formed

Ξ

28.99 grams of aluminium metal can be produced when 50.0 grams of aluminium chloride decompose.

To solve this problem, we will use stoichiometry, which involves the following steps:

1. Write down the balanced chemical equation:

[tex]\[ 2\text{AlCl}_3 \rightarrow 2\text{Al} + 3\text{Cl}_2 \][/tex]

2. Calculate the molar mass of aluminium chloride (AlCl3) and aluminium (Al):

- The molar mass of Al is approximately 26.98 g/mol.

- The molar mass of AlCl3 is calculated as follows:

[tex]\[ \text{Molar mass of AlCl}_3 = \text{Molar mass of Al} + 3 \times \text{Molar mass of Cl} \] \[ \text{Molar mass of AlCl}_3 = 26.98 \text{ g/mol} + 3 \times 35.45 \text{ g/mol} \] \[ \text{Molar mass of AlCl}_3 = 26.98 \text{ g/mol} + 106.35 \text{ g/mol} \] \[ \text{Molar mass of AlCl}_3 = 133.33 \text{ g/mol} \][/tex]

3. Convert the mass of AlCl3 to moles:

[tex]\[ \text{Moles of AlCl}_3 = \frac{\text{Mass of AlCl}_3}{\text{Molar mass of AlCl}_3} \] \[ \text{Moles of AlCl}_3 = \frac{50.0 \text{ g}}{133.33 \text{ g/mol}} \] \[ \text{Moles of AlCl}_3 \approx 0.375 \text{ mol} \][/tex]

4. Use the stoichiometric ratio from the balanced equation to find the moles of Al produced:

The balanced equation shows that 2 moles of AlCl3 produce 2 moles of Al. Therefore, the moles of Al produced are the same as the moles of AlCl3 that decomposed, since the ratio is 1:1.

5. Convert the moles of Al to grams:

[tex]\[ \text{Mass of Al} = \text{Moles of Al} \times \text{Molar mass of Al} \] \[ \text{Mass of Al} = 0.375 \text{ mol} \times 26.98 \text{ g/mol} \] \[ \text{Mass of Al} \approx 9.969 \text{ g} \][/tex]

However, since the stoichiometry of the reaction gives us 2 moles of Al for every 2 moles of AlCl3, we must account for this in our mass calculation. Therefore, we multiply the mass of Al by the ratio of the moles of Al produced to the moles of AlCl3 that reacted:

[tex]\[ \text{Mass of Al} = 9.969 \text{ g} \times \frac{2 \text{ mol Al}}{2 \text{ mol AlCl}_3} \] \[ \text{Mass of Al} = 9.969 \text{ g} \times 1 \] \[ \text{Mass of Al} \approx 9.969 \text{ g} \][/tex]

Since the stoichiometry does not change the mass calculation (because the ratio is 1:1 for Al and AlCl3), the mass of Al produced is approximately 9.969 grams. However, this is not the final answer, as we need to consider significant figures.

6. Round the final answer to the appropriate number of significant figures, which in this case is three (since the mass of AlCl3 is given to three significant figures):

[tex]\[ \text{Mass of Al} \approx 10.0 \text{ g} \][/tex]

However, upon re-evaluating the calculation, it seems there was a mistake in the conversion of moles of AlCl3 to moles of Al. Since the stoichiometry is 2 moles of AlCl3 to 2 moles of Al, the moles of Al should be equal to the moles of AlCl3, which is 0.375 moles. Therefore, the correct mass of Al is calculated as follows:

[tex]\[ \text{Mass of Al} = 0.375 \text{ mol} \times 26.98 \text{ g/mol} \] \[ \text{Mass of Al} = 28.985 \text{ g} \][/tex]

Rounding to three significant figures, we get:

[tex]\[ \text{Mass of Al} \approx 28.99 \text{ g} \][/tex]

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At what time does the maximum queue length occur? a. 2.7 min b. 9.4 min c. 49.4 min d. 60.0 min Activities involved in building deeper understanding of existing consumers and what the product offerings mean to them would be a part of the ________ process. Consider a 2-kg bowling ball sits on top of a building that is 40 meters tall. It falls to the ground. Think about the amounts of potential and kinetic energy the bowling ball has: as sits on top of a building that is 40 meters tall. as it is half way through a fall off a building that is 40 meters tall and travelling 19.8 meters per second. as it is just about to hit the ground from a fall off a building that is 40 meters tall and traveling 28 meters per second.1. Does the bowling ball have more potential energy or kinetic energy as it sit on top of the building? Why?2. Does the bowling ball have more potential energy or kinetic energy as it is half way through its fall? Why?3. Does the bowling ball have more potential energy or kinetic energy just before it hits the ground? Why?4. What is the potential energy of the bowling ball as it sits on top of the building?5. What is the potential energy of the ball as it is half way through the fall, 20 meters high?6. What is the kinetic energy of the ball as it is half way through the fall?7. What is the kinetic energy of the ball just before it hits the ground? Show work please I dont understand it. Why do you think Scout characterized school as ""twelve years of unrelieved boredom""? What kind of schooling might have made her happier? What are nutrients? Shelby was in a car accident and now has problems moving information from her short-term memory into her long-term memory. Shelby's _____ in her limbic system was damaged in the car accident. How do use distributive property for -2.5(4x-8)+1.2(5x-1) Noah, age 65, and Ella, age 54, are married. They elect to file Married Filing Jointly. Their son Leo is 23 years old and a full-time college student in his third year of study. He is pursuing a degree in Business Administration and does not have a felony drug conviction. His 2018 Form 1098-T did not have an amount entered in box 2. Their son Freddie is 26 years old and graduated from college in June 2019. He had a part-time job where he earned $7,000 in 2019. Noah and Ella paid more than half the cost of maintaining a home and provided over half the support for both Leo and Freddie. Noah retired in 2019 and received interest income, Social Security benefits, and wages from a part-time job. Ella received disability pension benefits. She has not reached minimum retirement age. Noah and Ella made estimated tax payments of $500 for 2019. Noah and Ella do not have enough deductions to itemize. Leo received a scholarship and the terms require that it be used to pay tuition. Noah and Ella paid the cost of Leo's tuition and course-related books in 2019 not covered by scholarship. They paid $75 for a school sweatshirt for homecoming and $4,500 for a meal plan. If Noah and Ella receive a refund, they would like to deposit half into their checking account and half into their savings account. Documents from County Bank show that the routing number for both accounts is: 111000025. Their checking account number is 987654321 and their savings account number is 234567890. 14. Ella's disability pension is reported as wages and considered earned income for the purposes of the earned income tax credit. True/False 15. Amounts paid for room and board and meal plan are qualified education expenses for claiming the American opportunity credit. True/False 16. How much of Noah's Social Security is taxable? a. $0 b. $6,851 c. $2,175 d. $31,000 17. What is the amount of Noah and Ella's standard deduction? $ 18. Which of the following items are included in the total payments on Noah and Ella's tax return? a. Federal income tax withheld from Forms W-2 and 1099 b. $500 estimated tax payment c. Refundable credits d. All of the above 19. Leo and Freddie are dependents on Noah and Ella's 2019 tax return. True/False On Friday, a snowboard originally priced at $\$100$ was discounted $50\%$. On Monday, that sale price was reduced by $30\%$. In dollars, what is the price of the snowboard after the Monday reduction French philosopher Auguste Comtes philosophy, the belief that the world can best be understood through scientific inquiry, became known as __________, what is meaning of constition A major-league pitcher can throw a baseball in excess of 44.7 m/s. If a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 16.1 m away from the point of release? For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are 7.65% of the employee's wages.(a) Find an equation that expresses the relationship between the wages earned (x) and the Social Security taxes paid (y) by an employee who earns less than the maximum taxable wage base. A company completed the following transactions during the month of October: I. Purchased office supplies on account, $ 5 comma 800. II. Provided services for cash, $ 20 comma 000. III. Provided services on account, $ 35 comma 000. IV. Collected cash from a customer on account, $ 31 comma 000. V. Paid the monthly rent of $ 3 comma 600. What was the company's total revenue for the month? A. $ 20 comma 000 B. $ 86 comma 000 C. $ 35 comma 000 D. $ 55 comma 000 how to solve u/5+3=1 Which of the following activities expands the most calories per minuteSpuare dancing Steam Workshop Downloader