Q118 / 150 · MHT CET 2024 (15 May Shift 1) · Physics

The internal energy of an ideal diatomic gas corresponding to volume ' V ' and pressure ' P ' is 2.5 PV. The gas expands from 1 litre to 2 litre at a constant pressure of $10^5 \mathrm{~N} / \mathrm{m}^2$. The heat supplied to a gas is

Correct answer
A
350 J
B
300 J
C
250 J
D
200 J

Solution

$\begin{array}{ll} & Q=\Delta U+W \\ \therefore & Q=2.5 \mathrm{PV}+\mathrm{PV}=3.5 \mathrm{PV} \\ \therefore & \mathrm{Q}=3.5 \times 10^5=350 \mathrm{~J}\end{array}$

Hence, the correct answer is option: 'A'.

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