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JEE Advanced Chemistry Thermodynamics (C) 2020 JEE Advanced 2020 (Paper 1)

JEE Advanced Chemistry Question (2020) — Solution

Question

In thermodynamics, the  P - V  work done is given by  w = - ∫ dVP ext . For a system undergoing a particular process, the work done is, w = - ∫ dV RT V - b - a V 2 . This equation is applicable to a

Options

  1. A. system that satisfies the van der Waals equation of state.
  2. B. process that is reversible and isothermal.
  3. C. process that is reversible and adiabatic.
  4. D. process that is irreversible and at constant pressure.

Answer

C. process that is reversible and adiabatic.

Step-by-step solution

\(W=- P_ ext d v\) From van der waal equation of state for one mole gas \(p+ a v^ 2 (v-b)= RT \) \(p= RT (v-b) - a v^ 2 \) For reversible process \(p_ ext =p_ gas \) \(W=- RT (v-b) - a v^ 2 \) process is only not applicable for irreversible process.

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