Perform the same computation as in Sec. $8\mathrm{.}1,$ but for ethyl

alcohol $($a $512\mathrm{.}02$ and b $50\mathrm{.}08407)$ at a temperature of $375$ K and

p of $2\mathrm{.}0$ atm. Compare your results with the ideal gas law. Use any

of the numerical methods discussed in Chaps. $5$ and $6$ to perform

the computation. Justify your choice of technique