Question

A gas that is of 2 moles occupies a volume of about 500 ml at 300 Kelvin and 50 atmospheric pressure, calculate the compressibility factor of the gas.

(a) 1.863

(b) 0.7357

(c) 0.5081

(d) 1.8754

I have been asked this question during a job interview.

My doubt stems from States of Matter topic in chapter States of Matter of Chemistry – Class 11

Answer 1

Correct option is (c) 0.5081

The best explanation: Compressibility factor Z = PV/nRT; Z = 50 atm x (500/1000) ml / 2 x 0.082 x 300 k = 25/6×8.2 = 0.5081. That means Z < 1, so this is a negative deviation from ideal gas behaviour. So the gas is more compressible than expected.