Chapter 13, Problem 25A

Interpretation Introduction

Interpretation:

The volume of nitrogen gas have to be calculated.

Concept Introduction:

The ideal gas law was derived by combining three important laws of the gases. The ideal gas law can be expressed as-

  $\begin{array}{l}V\propto \frac{\mathrm{n}T}{P}\\ \mathrm{PV}=nRT\end{array}$ Where, R is universal gas constant.

The ideal gas law consists of all the variables of a gas such as pressure (P), volume (V), number of moles (n) and temperature (T).

Answer to Problem 25A

The volume of nitrogen gas is 2.016 litre.

Explanation of Solution

Data given: Mass of nitrogen = 4.24 gm

Pressure of the gas = 2.04 atm

Temperature = 58.2 °C = 331.2 K

R = 0.082 L atm/mol K

Number of moles of nitrogen $‘n’=\frac{4.24}{28}=0.151mol$

  $\begin{array}{l}PV=nRT\\ V=\frac{nRT}{P}\\ =\frac{0.151mol\times 0.082Latm/molK\times 331.2K}{2.04atm}\\ =2.016L\end{array}$