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🧪 Chemistry  ·  Thermodynamics  ·  NEET & JEE

For the isothermal reversible expansion of an ideal gas from V₁ to V₂, the work done by the gas is:

Answer: nRT ln(V₂/V₁).

  • A zero throughout
  • B nRT ln(V₂/V₁)
  • C only PΔV
  • D always negative

Correct answer: B. nRT ln(V₂/V₁)

Explanation: Reversible isothermal work = nRT ln(V₂/V₁), obtained by integrating P dV with P = nRT/V.

P-V Diagram: Isothermal vs Adiabatic ExpansionVPIsothermal (T constant)Adiabatic (q=0)Adiabatic curve is steeper: no heat enters to cushion the pressure drop

Isothermal expansion follows a gentler curve (heat flows in to keep T constant) while adiabatic expansion drops in pressure more steeply (no heat exchange, so internal energy and temperature fall as the gas does work).

Concept context

Study energy changes in chemical reactions. Understand enthalpy, entropy, Gibbs free energy, and the laws of thermodynamics that decide whether a reaction will occur spontaneously or not.

Read the full Thermodynamics notes →