Published by:
CGP EDU Academic Team
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
Text Solution
Verified by ExpertsThe 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.
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.
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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