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Find out the work done in adiabatic process |
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Answer» W=R(t2-t1)/1-¥ For an adiabatic process of ideal gas equation we have PVγ = K (Constant) Where γ is the ratio of specific heat (ordinary or molar) at constant pressure and at constant voluume γ = Cp/CvSuppose in an adiabatic process pressure and volume of a sample of gas changs from (P1, V1) to (P2, V2) then we have P1(V1)γ=P2(V2)γ=K Thus, P = K/VγWork done by gas in this process is W = ∫PdVwhere limits of integration goes from V1 to V2Putting for P=K/Vγ, and integrating we get, W = (P1V1-P2V2)/(γ-1) In and adiabatic process if W>0 i.e., work is done by the gas then T2< T1If work is done on the gas (W<0) then T2 > T1 i.e., temperature of gas rises |
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