The equation of state of a gas is given by P^ P ( v - b )=n R T . One mole of this gas is…

Physics · JEE Main · NTA ExamsKinetic Theory of Gases

The equation of state of a gas is given by \(P^{\mathrm{P}}(\mathrm{v}-\mathrm{b})=n R T\). One mole of this gas is expanded isothermally from v to 2v. The work done by the gas is (b is constant, v, R, T, n have usual meaning)
  1. \(\text { RT InZ }\)
  2. \(\operatorname{RT} \ln \left(\frac{2 v-b}{v-b}\right)\)
  3. \(p\left(\frac{3 v^{2}}{2}-b\right)\)
  4. \(P\left[\left(v^{2}-b\right]\right.\)

Answer

(B) RT ( 2 v-b v-b )

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