JEE Mains · Physics · STD 11 - 11. thermodynamics
Identify the characteristics of an adiabatic process in a monoatomic gas.
(A) Internal energy is constant.
(B) Work done in the process is equal to the charge in internal energy.
(C) The product of temperature and volume is a constant.
(D) The product of pressure and volume is a constant.
(E) The work done to change the temperature from \(\mathrm{T}_1\) to \(\mathrm{T}_2\) is proportional to \(\left(\mathrm{T}_2-\mathrm{T}_1\right)\)
Choose the correct answer from the options given below :
- A (A), (C), (D) only
- B (A), (C), (E) only
- C (B), (E) only
- D (B), (D) only
Answer & Solution
Correct Answer
(C) (B), (E) only
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{Q}=\Delta \mathrm{U}+\mathrm{W}=0 \Rightarrow-\Delta \mathrm{U}=\mathrm{W} \\ & \mathrm{WD}=-\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T} \Rightarrow|\mathrm{WD}|=\mathrm{nC}_{\mathrm{v}} \Delta \mathrm{T} \propto \mathrm{T}_2-\mathrm{T}_1\end{aligned}…
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