ISRO Mechanical & Aerospace 2007 - Question 3

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Topic: Thermodynamics

Vander Waal's equation of state of a gas is

  • A. $PV=nRT$
  • B. $(p+\frac{a}{V^{2}})(v+b)=RT$
  • C. $(p+\frac{a}{V^{2}})(v-b)=RT$
  • D. $(p-\frac{a}{V^{2}})(v-b)=RT$

Answer: C. $(p+\frac{a}{V^{2}})(v-b)=RT$

Explanation: $(p+\frac{a}{V^{2}})(v-b)=RT$ where $\frac{a}{V^{2}}=$ Account for intermolecular force (force of cohesion), $a=$ account for existence of mutual attraction between the molecules, $b=$ Account of co-volume (volume of molecules), $R=$ Gas characteristic constant.

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