First slide

Heat given

Question

70 calories of heat is required to raise the temperature of 2 moles of an ideal diatomic gas at constant pressure from 30° C to 35° C . The amount of heat required (in calories) to raise the temperature of the same gas through the same range(30°C to 35°C) at constant volume is

Moderate

A

30
B

50
C

70
D

90

Solution

$\begin{array}{l} 70 = 2 \times C_{p} \times 5 \\ \Rightarrow C_{p} = 7 \\ ∵ C_{p} - C_{v} = R \Rightarrow C_{v} = 7 - 2 = 5 cal \\ {dQ}_{2} = {nC}_{v} dT \\ = 2 \times 5 \times 5 = 50 cal \end{array}$

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