2 moles of an ideal diatomic gas is taken through PT=constant. its temperature is increased from T to 2T. find the work done by the system.
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1 Answers
Asish Mahapatra
·2009-04-18 19:34:21
PT = const
==> P*PV/nR = c
==> P2V = c
==> P = √c/V
Work = ∫PdV
= ∫√c/VdV
= 2√cV
= 2√cV2 - cV1
= 2√(P2V2)2-(P1V1)2
= 2√(2R*2T)2-(2R*T)2
= 4RT√3