1.

Describlean analyticalmethod foradterminingth workdoneduringthe expansion of gas.

Answer»

Solution :Consider agascontainingina cylinderof area Aandprovidedwithfrictionlessmovablepiston.
P-pressureof the gas ,
Forceexertedby thegason the piston.
`F= PxxA`
The gasexpandsandpushesthe piston THROUGHA smalldistancedx.
Workdone by thegasdW= Fdx= PAdx= P.dV
`:.,dV= A dxto` changein volumeof the gas.
The totalworkdone byy the gaswhenits volumeincreasesfrom`V_(1)` to `V_(2)`WILLBE
`W= intdW=underset(V_(1))OVERSET(V_(2))(int)PdV`


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