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Physics Thermodynamics Mix Matrix Match Questions
Published on: September 12, 2026

For various thermodynamic processes, match the following -

Column-I

Column-II

(i) Isochoric Heating

[A] Δ Q > O

(ii) Isobaric Expansion

[B] Δ W > O

(iii) Isothermal Expansion

[C] Δ U > O

(iv) Adiabatic Expansion

[D] Δ W > O

Correct Matrix Matching

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Text Solution

Verified by Experts
The correct answer is:
A
Step 1: Understand the processes listed in Column-I.
Isochoric heating means the volume is constant, thus no work is done ($ΔW = 0$). However, heat is added, leading to an increase in internal energy, resulting in $ΔQ > 0$.

Step 2: Analyze each thermodynamic process in Column-I against Column-II.
  • (i) Isochoric Heating: Because the volume remains constant, heat must be added to increase the internal energy. Thus, ΔQ > 0 matches with [A].
  • (ii) Isobaric Expansion: In this process, pressure remains constant while the volume increases, which means work is done by the system. Therefore, ΔW > 0 matches with [B].
  • (iii) Isothermal Expansion: Here, the temperature remains constant. For an ideal gas, internal energy depends only on temperature. Therefore, since the temperature does not change, ΔU = 0, meaning ΔU > 0 does not apply, it cannot match with [C]. Instead, ΔW > 0
  • (iv) Adiabatic Expansion: In this case, the system expands without heat exchange with the surroundings, resulting in work being done by the system, thus ΔW > 0 matches with [D].

Conclusion:
The correct matching is:
(i) with [A], (ii) with [B], (iii) with (not listed), (iv) with [D]. Therefore, the answer for isochoic heating is A as the correct answer.

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