Chapter 12.2, Problem 20SP

Interpretation Introduction

Interpretation: The deciliters of carbon dioxide is to be determined.

Concept Introduction: According to the law of conservation of mass, the mass can neither be created nor be destroyed. Every reaction must be balanced. With the help of the balanced equation, the limiting reagent can be found and in accordance with it, the amount of product can be calculated.

Answer to Problem 20SP

The deciliters of carbon dioxide are 1.9 dL.

Explanation of Solution

The reaction is given as follows:

  ${\text{CS}}_{\text{2}}\left(l\right)+{\text{3O}}_2\left(g\right)\to {\text{CO}}_{\text{2}}\left(g\right)+2{\text{SO}}_{\text{2}}\left(g\right)$

According to the balanced equation,

  $\begin{array}{c}2\text{L}\text{of}{\text{SO}}_{\text{2}}\to 1\text{L}\text{of}{\text{CO}}_{\text{2}}\\ 1\text{L}\text{of}{\text{SO}}_{\text{2}}\to \frac{1}{2}\text{L}\text{of}{\text{CO}}_{\text{2}}\\ 0.38\text{L}\text{of}{\text{SO}}_{\text{2}}\to \frac{1}{2}\times 0.38\text{L}\text{of}{\text{CO}}_{\text{2}}\\ \to 0.19\text{L}\text{of}{\text{CO}}_{\text{2}}\end{array}$

The conversion of L to dL is:

  $0.19\text{L}\times \frac{\text{10}\text{dL}}{\text{1}\text{L}}=1.9\text{dL}$

Hence, the deciliters of carbon dioxide are 1.9 dL.