The ideal gas equation of state is very simple, but its range of applicability is limited. A more accurate but complicated equation is the Van der Waals equation of state given by P = RT/ v-b - a/v^2

where a and b are constants depending on critical pressure and temperatures of the gas. Predict the coefficient of compressibility of nitrogen gas at T = 175 K and v= 0.00375 m^3/kg, assuming the nitrogen to obey the Van der Waals equation of state. Compare your result with the ideal gas value.  Take a=0.175 m^6kPa/kg b=0.00138 m^3/kg for the given conditions. The experimentally measured pressure of nitrogen is 10,000 kPa.