40_Lessons_on_Refrigeration_and_Air_Conditioning_www.hvac-eng.ir_45

40_Lessons_on_Refrigeration_and_Air_Conditioning_www.hvac-eng.ir_45

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2 = + = 2 1 2 1 2 1 1 2 2 1 dV . P W W ) U U ( Q (5.21) If the working fluid behaves as an ideal gas and there are no phase changes, then, the work done, heat transferred and entropy change during the isothermal process are given by: = = = = = = = 2 1 1 2 1 2 2 1 2 1 1 2 2 1 2 1 2 1 P P ln mR v v ln mR S S P P ln mRT v v ln mRT dV . P W )) T ( f U ( W Q (5.22) Adiabatic process : An adiabatic process is one in which no heat transfer takes place to or from the system during the process. For a fluid undergoing an adiabatic process, the pressure and volume satisfy the following relation: PV constant k = (5.23) where k is the coefficient of adiabatic compression or expansion. For an ideal gas, it can be shown that: PV constant, where p v C C γ γ = = (5.24) Applying first law of thermodynamics for an adiabatic process, we get: ( ) ) U U ( V P V P 1 k k dV . P W 0 W ) U U ( Q 2 1 1 1 2 2 2 1 2 1 2 1 1 2 2 1 =
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