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Question

140 cal of heat is required to raise the temperature of 2 mole of a diatomic gas at constant pressure from 0C to 10C. How much heat will be required to rise its temperature from 0C to 10C at constant volume?

A
60 cal
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B
100 cal
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C
140 cal
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D
180 cal
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Solution

The correct option is B 100 cal
At constant pressure,
CP=QnΔθ =1402×10 cal/mol-C =7 cal/mol-C

Cv=CpR=72=5 cal/mol-C

At constant volume,
Required quantity of heat Q=nCvΔθ =2×5×10 cal =100 cal

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