Q83 / 90 · JEE Main 2022 (27 Jun Shift 2) · Physics

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

Correct answer: 1400

Solution

For isobaric process: $W = n R Δ T$ $\Rightarrow 400 = n R Δ T$

Also: $Q = n C_{p} Δ T$

$\Rightarrow Q = n (\frac{7 R}{2}) Δ T$ ( $C_{p} = \frac{7 R}{2}$ , for diatomic gas)

$Q = \frac{7}{2} \times 400 = 1400 J$

Hence, the correct answer is 1400.

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