Question $4$

Liquid oxygen $(O_2)$ is used in the steel industry, in hospitals and for wastewater treatment as well as in many other applications. A tank sold to hospitals contains $0\mathrm{.}0284m^3$ of volume filled with $3\mathrm{.}5kg$ of liquid $O_2$ that will vaporize at $-25C.$ After all of the $O_2$ in the tank vaporizes,

$($a$)$ Show that the ideal gas equation of state is not a good approximation method for the given condition

$($b$)$ Will the pressure in the tank exceed the safety limit for the tank specified as ${10}^4$kPa $?$