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A gas is enclosed in a cylindrical vesse...

A gas is enclosed in a cylindrical vessel fitted with a frictionless piston.the gas is slowly heated for some time. During the process, 10 J of heat is supplied and the piston is found to move out 10cm. Find the increase in the internal energy of the gas, the area of cross section of the cylinder=`4 cm^(2)` and the atmospheric pressure `=100 kPa.`

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`Delta Q = 10J,DeltaV = Axx10 cm`
` = (4xx10)cm^3 = 40xx10^(-6)m^3`
`Delta W = Pdelta V = 100xx40xx10^(-6)m^3`
` = 4m^3`
`Delta U = ?`
`10 = DeltaU+deltaW `
`rArr 10 = Delta U+4`
`rArr Delta U = 6J
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