Calculate the vapour pressure of liquid $n-$heptane at $30,90,$ and $150C$ using the following:

$($a$)$ Antoine equation

$($b$)$ Calculate the acentric factor.

$($c$)$ Lee$/$Kesler correlation for $P_r^{\text{s}\text{a}\text{t}}$

$($d$)$ Plot the effect of temperature on the vapour pressure of liquid n$-$hexane using the data from part $($a$)$ and part $($c$).$