Chapter 12, Problem 44A

a.

Interpretation Introduction

Interpretation: To interpret the conversion factor that is used to carry out the following conversion.

Concept Introduction: A mole is $6.02\times {10}^{23}$ atoms/molecules. The SI unit for the amount of substance is a mole and it is represented by “mol”.

The coefficients are the numbers that are written in front of the chemical formula/symbol in order to balance a chemical reaction. The coefficients help in determining the conversion factors between the number of moles for two different substances in a chemical equation.

Answer to Problem 44A

The conversion factor is as follows:

  ${\text{Mass CH}}_4\times \frac{1{\text{ mol CH}}_4}{{\text{Molar mass CH}}_4}={\text{mol CH}}_4$

Explanation of Solution

The conversion factor that is used to carry out the conversion of moles of gas to grams of gas is as follows:

  ${\text{Mass CH}}_4\times \frac{1{\text{ mol CH}}_4}{{\text{Molar mass CH}}_4}={\text{mol CH}}_4$

b.

Interpretation Introduction

Interpretation: To interpret the conversion factor that is used to carry out the following conversion.

Concept Introduction: A mole is $6.02\times {10}^{23}$ atoms/molecules. The SI unit for the amount of substance is a mole and it is represented by “mol”.

The coefficients are the numbers that are written in front of the chemical formula/symbol in order to balance a chemical reaction. In a balanced chemical equation, the coefficients help in determining the conversion factors between the number of moles for two different substances in a chemical equation.

Answer to Problem 44A

The ratio is depicted as follows:

  $\frac{1{\text{ mol CH}}_4}{22.4\text{L}}$

Explanation of Solution

The conversion factor that is used to convert liters of gas to moles of gas at STP is depicted as follows:

  $\frac{1{\text{ mol CH}}_4}{22.4\text{L}}$

c.

Interpretation Introduction

Interpretation: To interpret the conversion factor that is used to carry out the following conversion.

Concept Introduction: A mole is $6.02\times {10}^{23}$ atoms/molecules. The SI unit for the amount of substance is a mole and it is represented by “mol”.

The coefficients are the numbers that are written in front of the chemical formula/symbol in order to balance a chemical reaction. In a balanced chemical equation, the coefficients help in determining the conversion factors between the number of moles for two different substances in a chemical equation.

Answer to Problem 44A

The ratio is depicted as follows:

  $\frac{1{\text{ mol CH}}_4}{6.022\times {10}^{23}\text{molecules}}$

Explanation of Solution

The ratio that is used to convert molecules of a gas to the moles of a gas is depicted as follows:

  $\frac{1{\text{ mol CH}}_4}{6.022\times {10}^{23}\text{molecules}}$