Statement-I : Work done in isothermal reversible compression of an ideal gas sample is more than in adiabatic reversible compression from same initial state to same final volume. Statement-II : In iso

Question

Statement-I : Work done in isothermal reversible compression of an ideal gas sample is more than in adiabatic reversible compression from same initial state to same final volume.

Statement-II : In isothermal reversible compression temperature remains same where as temperature in adiabatic reversible compression increases.

TestHub · Accepted Answer

For compression from the same initial state to the same final volume, the adiabatic path is steeper than the isotherm, so more work is needed in the adiabatic case: W(isothermal) < W(adiabatic), so Statement-I is false.
Statement-II is true: the temperature stays constant in an isothermal compression but rises in an adiabatic compression.
Answer (D).

Chemistry - Thermodynamics - I Question with Solution | TestHub

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