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

Question

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

Infinity Learn · Accepted Answer

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

Forty calories of heat is needed to raise the temperature of 1 mol of an ideal monatomic gas from 20^oC to 30^oC at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume $(R = 2 cal {mol}^{- 1} K^{- 1})$ is

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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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Forty calories of heat is needed to raise the temperature of 1 mol of an ideal monatomic gas from 20^oC to 30^oC at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume $(R = 2 cal {mol}^{- 1} K^{- 1})$ is