Question

Calculate the compressibility factor for $C{O}_2$, if one mole of it occupies 0.4 litre at 300 $K$ and 40 $atm$. Comment on the result :

• A. 0.40, $C{O}_2$ is more compressible than ideal gas
• B. 0.65, $C{O}_2$ is more compressible than ideal gas
• C. 0.55, $C{O}_2$ is more compressible than ideal gas
• D. 0.62, $C{O}_2$ is more compressible than ideal gas

Answer 1

Answer: (B)

0.65, $C{O}_2$ is more compressible than ideal gas

As we know,

$Z=\frac{PV}{RT}=\frac{40\times 0.4}{300\times 0.082}$

$Z=0.65<1$ so it is more compressible than ideal gas.

Hence, the correct option is $\text{B}$