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JEE Main 2022 (27 Jun, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2022 (27 Jun, Shift 2)

Q160JEE Main 2022 · 27 JUN · SHIFT 2Easy

Thermodynamic Processes

A diatomic gas ( $\gamma$ = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is __________ J.

Numerical answer type. Work it out, then open the answer.

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Answer: 1400

Isobaric: $W = nR\Delta T$ , $Q = nC_p\Delta T$ with $C_p = \frac{\gamma R}{\gamma - 1}$ .
$\frac{Q}{W} = \frac{\gamma}{\gamma - 1} = \frac{1.4}{0.4} = 3.5$
$Q = 3.5 \times 400 = 1400$ J
Heat given $= 1400$ J.

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