N$-$butane is compressed from $100K$ and $0\mathrm{.}5$ bar to $500K$ and $\frac{50}{b}ar.$ Calculate the change of enthalpy for the compression. The initial state is assumed as an ideal gas state. Use Lee$/$Kesler correlations for residual property calculation.

For n$-$butane $=0\mathrm{.}2,T_c=425\mathrm{.}1K$ and $P_c=37\mathrm{.}96$ bar

And $\frac{C_p}{R}=1\mathrm{.}935+36\mathrm{.}915**{10}^{-3}T+11\mathrm{.}402**{10}^{-6}{T}^2$

$N-$butane is compressed from $100K$ and $\frac{0\mathrm{.}5}{b}ar$ to $500K$ and $\frac{50}{b}ar.$ Calculate the change of enthalpy property calculation.

For $n-$butane $=0\mathrm{.}2,T_c=425\mathrm{.}1K$ and $P_c=\frac{37\mathrm{.}96}{b}ar$

And $\frac{C_p}{R}=1\mathrm{.}935+36\mathrm{.}915**{10}^{-3}T+11\mathrm{.}402**{10}^{-6}{T}^2$