Chapter U3.17, Problem 1TAI

Interpretation Introduction

Interpretation: The calculation of the number of moles of a gas needs to be explained for given P, V and T.

Concept Introduction: An ideal gas law can be explained using a general gas equation known as ideal gas equation. In this equation P, V, n, R and T are related to each other. Here, R is Universal gas constant which is same for all type of ideal gases. The value of R is $0.082\text{ L atm/K mol}$ .

Explanation of Solution

The ideal gas equation is represented as follows:

  $PV=nRT$

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

Thus, if P, V and T is given for a gas, the number of moles of gas can be calculated by rearranging the above equation as follows:

  $n=\frac{PV}{RT}$

Here, R is Universal gas constant with value $0.082\text{ L atm/K mol}$ .