Determine how many of the following statements are true at very...

Determine how many of the following statements are true at very high pressure for a real gas:

$\left(a\right)$ Compressibility factor is greater than $\text{1}\text{.}$

$\left(b\right)$ Compressibility factor varies linearly with pressure.

$\left(c\right)$ Molar volume occupied by gas is more as compared to ideal gas at similar pressure and temperature.

$\left(d\right)$ Gas is less compressible as compare to ideal gas.

$\left(e\right)$ Compressibility factor is given by $\text{Z}\text{=}\text{1}\text{+}\dfrac{\text{Pb}}{\text{RT}} \text{.}$