Chapter 12, Problem 45A

a.

Interpretation Introduction

Interpretation: To calculate the moles of carbon disulfide.

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 45A

The number of moles of carbon disulfide is $0.5$ mole.

Explanation of Solution

The given chemical reaction is depicted as follows:

  $5\text{C}\left(s\right)+2{\text{SO}}_{\text{2}}\left(g\right)\to {\text{CS}}_{\text{2}}\left(l\right)+4\text{CO}\left(g\right)$

When five moles of carbon react with two moles of sulfur dioxide, it yields one mole of carbon disulfide and four moles of carbon monoxide.

The moles of carbon are $2.7$ moles.

Therefore, the moles of carbon disulfide can be calculated as follows:

  $\text{2}\text{.7 }\cancel{\text{mol C}}\times \frac{1{\text{ mol CS}}_2}{\text{5 }\cancel{\text{mol C}}}=0.5{\text{ mol CS}}_2$

b.

Interpretation Introduction

Interpretation: To calculate the number of moles of carbon needed.

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 45A

The number of moles of carbon is $13.6$ moles.

Explanation of Solution

The given chemical reaction is depicted as follows:

  $5\text{C}\left(s\right)+2{\text{SO}}_{\text{2}}\left(g\right)\to {\text{CS}}_{\text{2}}\left(l\right)+4\text{CO}\left(g\right)$

When five moles of carbon react with two moles of sulfur dioxide, it yields one mole of carbon disulfide and four moles of carbon monoxide.

The moles of sulfur dioxide is 0 $5.44$ moles.

Therefore, the moles of carbon can be calculated as follows:

  $\text{5}\text{.44 }\cancel{{\text{mol SO}}_2}\times \frac{\text{5 mol C}}{\text{2 }\cancel{{\text{mol SO}}_2}}=13.6\text{ mol C}$

c.

Interpretation Introduction

Interpretation: To calculate the number of moles of carbon monoxide.

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 45A

The number of moles of carbon monoxide is $0.984$ moles.

Explanation of Solution

The given chemical reaction is depicted as follows:

  $5\text{C}\left(s\right)+2{\text{SO}}_{\text{2}}\left(g\right)\to {\text{CS}}_{\text{2}}\left(l\right)+4\text{CO}\left(g\right)$

When five moles of carbon react with two moles of sulfur dioxide, it yields one mole of carbon disulfide and four moles of carbon monoxide.

The moles of carbon disulfide is $0.246$ moles.

Therefore, the moles of carbon monoxide can be calculated as follows:

  $\text{0}\text{.246 }\cancel{{\text{mol CS}}_2}\times \frac{\text{4 mol CO}}{\text{1}\cancel{{\text{mol CS}}_2}}=0.984\text{ mol CO}$

d.

Interpretation Introduction

Interpretation: To calculate the number of moles of carbon monoxide.

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 45A

The number of moles of sulfur dioxide is $236$ moles.

Explanation of Solution

The given chemical reaction is depicted as follows:

  $5\text{C}\left(s\right)+2{\text{SO}}_{\text{2}}\left(g\right)\to {\text{CS}}_{\text{2}}\left(l\right)+4\text{CO}\left(g\right)$

When five moles of carbon react with two moles of sulfur dioxide, it yields one mole of carbon disulfide and four moles of carbon monoxide.

The moles of carbon disulfide is $118$ moles.

Therefore, the moles of sulfur dioxide can be calculated as follows:

  $\text{118}\cancel{{\text{mol CS}}_2}\times \frac{{\text{2 mol SO}}_2}{\text{1}\cancel{{\text{mol CS}}_2}}=236{\text{ mol SO}}_2$