Given below are two statements: Statement I: When μ amount of an… | JEE Main 2022 (28 Jun, Shift 1)

Q162JEE Main 2022 · 28 JUN · SHIFT 1Medium

Thermodynamic Processes

Given below are two statements:

Statement I: When $\mu$ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2, T2), then work done is $W = \frac{\mu R(T_2 - T_1)}{1-\gamma}$ , where $\gamma = \frac{C_p}{C_v}$ and R = universal gas constant. Statement II: In the above case, when work is done on the gas, the temperature of the gas would rise.

Choose the correct answer from the options given below:

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Answer: (a)

Adiabatic work by gas $W = \dfrac{\mu R(T_1 - T_2)}{\gamma - 1} = \dfrac{\mu R(T_2 - T_1)}{1 - \gamma}$ , so Statement I is true.
Work done on the gas with $\Delta Q = 0$ goes into $\Delta U > 0$ , so temperature rises; Statement II is true.
So the answer is (a).

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