Question $2$

Marks: $60$

$($a$)$ In a storage tank, ethane is stored in gaseous state at $60C$ and $130$ bar. It follows the following equation of state: $Z=1+\frac{BP}{RT}.$ Calculate the volume of ethane present in the storage tank.

Given: Critical Pressure, $P_c=48\mathrm{.}72$ bar, Critical Temperature, $T_c=305\mathrm{.}3K,=0\mathrm{.}100.(40$ marks$)$

$($b$)$ Sulfuric acid is mainly used in the production of fertilizers. Determine the latent heat of sulfuric acid at its normal boiling point.

Given: Boiling point of sulfuric acid is $337C$; Critical Pressure, $P_c=\frac{64\mathrm{.}00}{b}ar$ ; Critical Temperature, $T_c=924K.$