Gas in a container is at a pressure of 1.5atm and a volume of 7.0 m 3 . (a) What

Question

Gas in a container is at a pressure of 1.5atm and a volume of 7.0 m3. (a) What is the work done on the gasif it expands at constant pressure to twice its initial volume?
1 J

(b) What is the work done on the gas if it is compressedat constant pressure to one-quarter its initial volume?
2 J (a) What is the work done on the gasif it expands at constant pressure to twice its initial volume?
1 J

(b) What is the work done on the gas if it is compressedat constant pressure to one-quarter its initial volume?
2 J

Explanation / Answer

Initial volume V = 7 m ^ 3 Initial pressure P = 1.5 atm = 1.5 * 101.3 * 10 ^ 3Pa final volume V ' = 2 V (a). the work done on the gas if it expands atconstant pressure to twice its initial volume is W = - PdV So , W = - P ( V ' - V )            =- P ( 2 V - V ) = PV            = -1063.65 * 10 ^ 3 J (b). the work done on the gas if it is compressed atconstant pressure to one-quarter its initial volume W ' = P dV' W ' = P [ V - ( V / 4 )]          = 3PV /4          =797.73 J

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