Q63 / 90 · JEE Main 2019 (12 Apr Shift 2) · Physics

A diatomic gas with rigid molecules does $10 J$ of work when expanded at constant pressure. What would be the heat energy absorbed by the gas, in this process?

A
$40 J$
Correct answer
B
$35 J$
C
$25 J$
D
$30 J$

Solution

C_{p} = \frac{7}{2} R

(for diatomic gas)

Δ Q = n C_{p} Δ T

(∴ I s o b a r i c p r o c e s s)

Δ W = n R Δ T = 10 J

Given

∴ Δ Q = n \times \frac{7}{2} R Δ T = \frac{7}{2} \times 10 = 35 J

\{n R Δ T = 10 J\}

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

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