Chapter 5, Problem 41E

Interpretation Introduction

Interpretation:Volume occupied by ${\text{N}}_{\text{2}}{\text{O}}_{\text{4}}$ gas when ${\text{25 mL NO}}_2$ is converted to ${\text{N}}_{\text{2}}{\text{O}}_{\text{4}}$ as per the indicated equation is to be calculated.

  ${\text{2NO}}_2\left(g\right)\to {\text{N}}_{\text{2}}{\text{O}}_{\text{4}}\left(g\right)$

Concept introduction:Avogadro’s gaseous lawsuggests volume varies directly with moles of the ideal gas, as long as pressure and temperature remain constant.

Mathematically, the relation that holds true between volume and moles that holds true is as follows:

  $\begin{array}{c}V\propto n\\ \frac{V}{n}\text{= constant}\end{array}$

The consequence of Avogadro’s law is that it enables equal volume to contain equal moles and hence coefficients that denote moles also denote the volume of each reactant.