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Q.

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

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a

30

b

50

c

70

d

90

answer is B.

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Detailed Solution

70=2×Cp×5⇒Cp=7∵Cp−Cv=R ⇒Cv=7−2=5caldQ2=nCvdT       =2×5×5=50cal
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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