Question

The ideal gas law, although convenient, has limitations. Most gases tend to deviate from ideal behaviour. For 1 mole of gas, plotting a curve of $Z=\frac{PV}{RT}$ v/s P gives us an idea of the deviation.

For curve C, find $Z$ for 1 l of the gas at a pressure where $b$ is negligible and $a=4.225atm{l}^{2}mo{l}^2$

• A. 0.95
• B. 0.32
• C. 0.83
• D. 1.46

Answer 1

The correct option is C 0.83

From real gas equation, $(P+\frac{a}{V^2})V=RT$

$\Rightarrow PV+\frac{a}{V}=RT$

$\Rightarrow \frac{PV}{RT}+\frac{a}{VRT}=1$

$\Rightarrow Z=1-\frac{a}{VRT}$

Since, we have $N{H}_3$ at 300 K.

$\therefore Z=1-\frac{4.2}{\frac{1}{12}\times 300\times 1}=1-\frac{4.2}{25}\approx 0.832$