140cal of heat is required to raise the temperature of 2 mole of a diatomic gas at constant pressure from 0∘C to 10∘C. How much heat will be required to rise its temperature from 0∘C to 10∘C at constant volume?
A
60cal
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B
100cal
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C
140cal
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D
180cal
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Solution
The correct option is B100cal At constant pressure, CP=QnΔθ=1402×10cal/mol-∘C=7cal/mol-∘C
Cv=Cp−R=7−2=5cal/mol-∘C
At constant volume, Required quantity of heat Q=nCvΔθ=2×5×10cal=100cal