Physics · Thermodynamics

JEE Main 2025 — 24 January, Morning Shift — Question 66

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)

Answer: B

Given that

$\mathrm{P}=\mathrm{kT}$

$\frac{\mathrm{P}}{\mathrm{T}}=$ constant

$\therefore$ Volume is constant or isochoric process.

$\therefore \mathrm{W}_{\mathrm{D}}=0$

$\therefore \mathrm{Q}=\Delta \mathrm{U}$

Also temperature increases hence internal energy increases.

Answer key and solution verified before publishing.

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