JEE Main 2026 — Apr 4, Shift 1 — Chemistry solution

JEE Main2026Apr 4, Shift 1Chemistry

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Statement II : In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas.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

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

Solution

For an ideal gas, Mayer's relation gives $C_{P} = C_{V} + R$ , so $C_{P} > C_{V}$ , not the other way around. Statement I has the inequality reversed and is false.

Statement II follows from the first law: at constant volume $w = 0$ , hence $Δ U = q$ , and all absorbed heat raises the temperature (internal energy) of the gas. True.

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