for a real gas at 25 ° C temperature and high pressure ( 99 bar) the value of compressibility factor is 2 , so the value of Van 1der Waal's constant ' b ' should be_____ × 10 - 2 L mol - 1 (Given R = 0 . 083 L bar K - 1 mol - 1 )

Step-by-step solution

For real gas under high pressure we can neglect pressure corrections due to intermolecular forces. But since volume will be low, we can not neglect volume corrections due to molecular size. Z = 1 + Pb RT   =   2   ⇒ b = RT P = 0 . 083 × 298 99 = 0 . 25 × 10 - 2   L   mol - 1