Example $6\mathrm{.}3$

Can you please show me how to calculate the simpson rule?

Calculate the enthalpy and entropy of saturated isobutane vapor at $360K$ from the following information:

Table $6\mathrm{.}1$ gives compressibility$-$factor data $($values of $Z)$ for isobutane vapor.

The vapor pressure of isobutane at $360K$ is $\frac{15\mathrm{.}41}{b}ar.$

Set $H_0^{ig}=18,115\mathrm{.}0J*mo{l}^{-1}$ and $S_0^{ig}=295\mathrm{.}976J*mo{l}^{-1}*K^{-1}$ for the reference state at $300K$ and $1$ bar. $[$These values are in accord with the bases adopted by R$.$ D$.$ Goodwin and W$.$ M$.$ Haynes, Nat. Bur. Stand. $($U$.$S$.),$ Tech. Note $1051,1982.]$

The ideal$-$gas$-$state heat capacity of isobutane vapor at temperatures of interest is:

$\frac{C_P^{Ig}}{R}=1\mathrm{.}7765+33\mathrm{.}037{10}^{-3}T,(TK)$