Energy is added to a piston-cylinder arrangement. The piston is withdrawn in such a way that the temperature remains constant. The initial pressure and volume are 200 KPa and `"2m"^3`, respectively. If the final pressure is 100 KPa, determine the work done by the ideal gas on the piston. ( Assume T1 & T2 are constant)
If temperature is constant,then
P = Po`\times``"Vo"/"V"`
and Work out = Integral of P dV (from V1 to V2)
= (Po`\times`Vo) `\times` Integral of `"dV"/"V"`
= Po`\times`Vo ln(`"V2"/"V1"`)
= Po`\times`Vo ln(`"P1"/"P2"`)
= 400 ln2 kJThus, the final pressure is 100 KPa, determine the work done by the ideal gas on the piston is 400 ln2 kJ.
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