Problem 18.10 A cylinder contains 4.0 moles of a monatomic gas at an initial tem

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Problem 18.10

A cylinder contains 4.0 moles of a monatomic gas at an initial temperature of 27 ?C. The gas is compressed by doing 500J of work on it, and its temperature increases by 130?C .

Part A

How much heat flows into or out of the gas?

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Problem 18.10

A cylinder contains 4.0 moles of a monatomic gas at an initial temperature of 27 ?C. The gas is compressed by doing 500J of work on it, and its temperature increases by 130?C .

Part A

How much heat flows into or out of the gas?

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Explanation / Answer

First Law of thermodynamics states that

Del U =DelQ- W

Work done by gas is taken as positive and work done on gas is taken as negative

Cv of monoatomic gas=1.5R

DelU= n*Cv*delT where n is the no. of moles of gas

DelU=4*1.5*130 =780J

W=-500

780=Q+500

Q=280J

this heat is positive..so heat flows into gas and is equal to 280J

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