Chapter 14.3, Problem 32LC

Interpretation Introduction

Interpretation: To determine the volume occupied by 0.582 mol gas at 15 degrees C.

Concept Introduction: The equation which gave a relation between pressure, temperature, and volume, is considered an ideal gas equation. It is represented by $\text{PV = nRT}$

Answer to Problem 32LC

The volume will be $\text{0}\text{.17}\text{mL}$ .

Explanation of Solution

The given data:

Pressure = 81.0 kPa

Temperature = 15 degree C = $\text{273+15 = 288}\text{K}$

Mol = 0.582

Volume can be determined by using the formula:

  $\text{PV = nRT}\mathrm{.....}\text{(i)}$

Where P is pressure, V is volume, n is the number of moles, R is gas constant and T is temperature.

Put the given data in equation (i).

  $\begin{array}{c}\text{PV = nRTV }\\ \text{V =}\frac{\text{nRT}}{\text{P}}\\ \text{V=}\frac{\text{0}\text{.580}\text{×}\text{0}\text{.082}\text{×288}}{\text{81}}\\ \text{V=}\text{0}\text{.17}\text{mL}\end{array}$