Chapter 10.7, Problem 1CP

Interpretation Introduction

Interpretation:

The conditions for which gases deviate from their ideal behavior are to be determined.

Concept Introduction:

The ideal gas equation elaborates the physical properties of gases by relating the pressure, volume, temperature, and number of moles with each other with the help of four gas laws. This can be shown as:

$P=R\frac{nT}{V}.$

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

The deviation of real gas from the ideal gas behavior can be calculated with the help of the van der Waals equation as:

$\left(P+\frac{a{n}^2}{V^2}\right)\left(V-nb\right)=nRT.$

Here, $a$ and $b$ represent the van der Waals constants, which have different values for different gases, P is the pressure, R is the gas constant, n is the number of moles of gas, T is the temperature, and V is the volume.

The conversion of temperature from degree Celsius to Kelvin can be done by using the formula given below:

$T\left(\text{in K}\right)=T\left(\text{in }°\text{C}\right)+273.15$.