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

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:
  1. E Only
  2. A, B, C, D Only
  3. A, D, E Only
  4. A, C Only

Solution

Given that
$\mathrm{P}=\mathrm{kT}$
$\frac{\mathrm{P}}{\mathrm{~T}}=\text { constant }$
$\therefore$ Volume is constant or isochoric process.
$\begin{aligned}
& \therefore \mathrm{W}_{\mathrm{D}}=0 \\ & \therefore \mathrm{Q}=\Delta \mathrm{U}
\end{aligned}$
Also temperature increases hence internal energy increases.

Asked in: JEE Main 2025 (24 Jan Shift 1)

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