$2.(25$ pts$)$ A certain gas has a molecular weight of $30\mathrm{.}0,$ a critical temperature of $310$ K$,$ and a

critical pressure of $4\mathrm{.}5$ MPa. Calculate the density in kg$/$m$3$

of this gas at $465$K and $9\mathrm{.}0$ MPa

$($a$)$ if the gas is ideal;

$($b$)$ use the SRK Cubic Equation of States;

$($c$)$ Use the compressibility chart if the gas obeys the law of corresponding states.