The amount of heat needed to raise the temperature of 4 moles of rigid diatomic gas from 0 ° C to 50 ° C when no work is done is ___________. (R is the universal gas constant). (a) 500 R (b) 250 R (c) 750 R (d) 175 R

Answer: (a). No work done means constant volume: Q = nCvΔ T. Rigid diatomic: Cv = 5/2R, Δ T = 50 K. Q = 4 × 5/2R × 50 = 500R So the answer is (a) 500R.

The amount of heat needed to raise the temperature of 4 moles of… | JEE Main 2021 (20 Jul, Shift 1)

Q34JEE Main 2021 · 20 JUL · SHIFT 1Easy

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

The amount of heat needed to raise the temperature of 4 moles of rigid diatomic gas from 0 $^\circ$ C to 50 $^\circ$ C when no work is done is ___________. (R is the universal gas constant).

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Answer: (a)

No work done means constant volume: $Q = nC_v\Delta T$ .
Rigid diatomic: $C_v = \frac{5}{2}R$ , $\Delta T = 50$ K.
$Q = 4 \times \frac{5}{2}R \times 50 = 500R$
So the answer is (a) $500R$ .

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