Question

One mole of SO a gas occupies a volume of 350 ml at 27°C and 50 atm pressure. Calculate the compressibility factor of the gas. Comment on the type of deviation shown by the gas from ideal behavior.

Answer 1

Compressibility factor, Z = PV/nRT

Substituting, n = 1 mol, P = 50 atm, V = 350 × 10^-3 L = 0.35 L 

R = 0.0821 L atm K^-1mol^-1, T = 27 + 273 = 300 K, we get,

For ideal gas, Z = 1. As for the given gas Z < 1, it shows negative deviation i.e., it is more compressible than expected from ideal behavior.