Liquid benzene at $25C$ and $1\mathrm{.}2$ bar is converted to vapor at $200C$ and $5$ bar in a two$-$step steady$-$flow process: vaporization in a

counterflow heat exchanger at $1\mathrm{.}2$ bar, followed by compression as a gas to $5$ bar. Determine the duty of the exchanger and the powe

requirement of the compressor in $kJ*mol-1.$ Assume a compressor efficiency of $75\%,$ and treat benzene vapor as as an ideal gas with

constant $C_P=105J*mo{l}^{-1}*K^{-1}.$ The properties of benzene are given in the tables below. Take $R=8\mathrm{.}314J*mo{l}^{-1}*K^{-1}.$

Characteristic Properties of Pure Species

Constants for the Antoine Equation for Vapor Pressures of Pure

Species

$ln\frac{P^{\text{s}\text{a}\text{t}}}{k}Pa=A-\frac{B}{\frac{t}{}C+C}$

Latent heat of vaporization at the normal boiling point $(H_n),$ and normal boiling point

Heat Capacities of Gases in the Ideal$-$Gas State ${?}^{}$

Constants in equation $\frac{C_P^{ig}}{R}=A+BT+C{T}^2+D{T}^{-2}$ for $T(K)$ from $298K$ to $T_{\text{m}\text{a}\text{x}}$

The duty of the exchanger is $...$kJ$$mol$1.$

The power requirement of the compressor is kJ$$mol$1.$