A 100 kg piston encloses 32 g of oxygen gas at a temperature of `27^(@)C` in a vertical cylinder of hose area of `4 dm^(2)`. The air pressure outside is `1xx10^(5)Pa`. The axis of the cylinder is vertical, and the piston can moves in it without friction. How much heat is to be transferred to the gas to raise the piston by 20cm from rest . positon? `("Use" R=(25)/(3)J//"mol"-k)`
A. 3000J
B. 3500J
C. 4000J
D. 4500J

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1 Answers

`P=P_(0)+(mg)/(A)`
`V=(nRT)/(P)`
`h=(V)/(A)=(2xx10^(-2))/(4xx10^(-2))=(1)/(2)m`
`T_(2)-(T_(1))/(T_(1))=(Deltah)/(h)`
`DeltaQ=nC_(p)(T_(2)-T_(1))`

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