Gas in a container is at a pressure of 1.8atm and a volume of 5.0 m 3 . (a) What

Question

Gas in a container is at a pressure of 1.8atm and a volume of 5.0 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
Help is appreciated thanks! (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
Help is appreciated thanks!

Explanation / Answer

Pressure P = 1.8 atm = 1.8 * 101.3 * 10 ^ 3 Pa Initial volume V = 5 m ^ 3 (a). Final volume V ' = 2 V = 10 m ^ 3 the work done on the gas if it expands at constantpressure to twice its initial volume W = P ( V ' - V ) W = 911.7 * 10 ^ 3 J (b). Final volume V " = V / 4 the work done on the gas if it is compressed atconstant pressure to one-quarter its initial volume W ' = P ( V " -V )              W = P ( V / 4 - V )                   = -3PV / 4                   = -341.8875 J

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