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Question

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

A
30
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B
50
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C
70
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D
90
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Solution

The correct option is B 50
Q1=nCpT
Q2=nCvT
Q2Q1=CvCp=1γ
Q2=Q1γ=701.4=50 cal.

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