JEE Main · 2012 · 29 Apr 2012 · Offline · States of Matter

The compressibility factor for a real gas at high pressure is :

(A) $1 + RT / pb$
(B)1
(C) $1 + pb / RT$ ✓ Correct
(D) $1 - pb / RT$

Answer: (C)

Solution

At high pressure the finite size of the molecules, carried by the van der Waals constant

b

, matters far more than the attractive term. Keeping that excluded-volume correction, the equation gives a compressibility factor

Z = \frac{P V}{n R T} = 1 + \frac{P b}{R T}

, a value greater than one that grows with pressure because the real gas resists compression more than an ideal one.

JEE Main · 2012 · 29 Apr 2012 · Offline · Single correct option

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