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WBJEE · Chemistry · States of Matter

The compressibility factor for a van der Waal gas at high pressure is

  1. A \(1+\frac{\mathrm{RT}}{\mathrm{Pb}}\)
  2. B \(1+\frac{\mathrm{Pb}}{\mathrm{RT}}\)
  3. C \(1-\frac{\mathrm{Pb}}{\mathrm{RT}}\)
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(B) \(1+\frac{\mathrm{Pb}}{\mathrm{RT}}\)

Step-by-step Solution

Detailed explanation

For 1 mol van der Waal's gas \(\left(P+\frac{a}{V^2}\right)(v-b)=R T\) At high pressure \(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2} \approx \mathrm{P}\)…