Given below are two statements:
Statement I: For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure.
Statement II: In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas.
In the light of the above statements, choose the correct answer from the options given below
Statement I: For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure.
Statement II: In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas.
In the light of the above statements, choose the correct answer from the options given below
- (A)Both Statement I and Statement II are true
- (B)Both Statement I and Statement II are false
- (C)Statement I is true but Statement II is false
- (D)Statement I is false but Statement II is true✓ Correct
Answer: (D)
Solution
For an ideal gas , so ; the claim that is always greater than is wrong, so Statement I is false. In a constant-volume change the work , so by the first law ; all the heat supplied raises the internal energy and appears as a temperature rise, so Statement II is true. Hence Statement I is false while Statement II is true.
JEE Main · 2026 · 04 Apr 2026 · Shift 1 · Single correct option