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JEE Main 2022 (26 Jul, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2022 (26 Jul, Shift 1)

Q163JEE Main 2022 · 26 JUL · SHIFT 1Medium

Thermodynamic Processes

7 mol of a certain monoatomic ideal gas undergoes a temperature increase of $40\text{ K}$ at constant pressure. The increase in the internal energy of the gas in this process is:

(Given $R = 8.3\text{ J K}^{-1}\text{ mol}^{-1}$ )

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Answer: (b)

$\Delta U = nC_v\Delta T$ for any process; monoatomic $C_v = \frac{3}{2}R$ .
$\Delta U = 7 \times \frac{3}{2} \times 8.3 \times 40 = 3486\text{ J}$
So the answer is (b) 3486 J.

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