An ideal gas goes from an initial state to final state. During the… | JEE Main 2025 (24 Jan, Shift 1)

Q77JEE Main 2025 · 24 JAN · SHIFT 1Medium

Thermodynamic Processes

An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature.

A. The work done by gas during the process is zero.

B. The heat added to gas is different from change in its internal energy.

C. The volume of the gas is increased.

D. The internal energy of the gas is increased.

E. The process is isochoric (constant volume process)

Choose the correct answer from the options given below:

Show answer and solution

Answer: (b)

$P \propto T$ for an ideal gas means $V = \frac{nRT}{P}$ is constant: the process is isochoric (E true, C false).
No volume change, so $W = 0$ (A true).
Then $Q = \Delta U$ (B false).
Pressure rises, so $T$ rises and $\Delta U > 0$ (D true).
So the answer is (b) A, D, E only.

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