Forty calories of heat is needed to raise the temperature of 1 mol of an ideal monatomic gas from 20oC to 30oC at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume R=2calmol−1K−1 is

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20 cal

40 cal

60 cal

80 cal

answer is A.

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Detailed Solution

At constant pressure Qp=μCpΔT =1×Cp×(30−20)=40cal⇒ Cp=4cal/mol−K∴ Cv=Cp−R=4−2=2cal/mol−K Now Qv=μCvΔT=1×2×(30−20)=20cal

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