Feb 28, 08 · The relationship between pressure and volume of an ideal gas is expressed as pv=constant in a reversable isothermal condition Show that the relationship between pressure and volume of the same gas is expressed as pV^gamma=constant in a reversible adiabatic condition where gamma=Cp,m/Cv,m Homework Equations gamma=Cp,m/Cv,mMay 22, · Adiabatic Relation Between V and T For one mole of gas, PV= RT P =RT/V Putting PV r =G, we get RT/V * V r = G or T*V (r 1) = G/ R = TV (r 1) = G (Constant) This equation describes the adiabatic relation between V and T for an ideal gas Adiabatic Reversible and Irreversible process Reversible Adiabatic ProcessSep 10, · No headers For an ideal gas in an isothermal process, PV = constant In a reversible adiabatic process PV γ = constant, TV γ − 1 = constant, P 1 − γ T γ = constant From these it is easy to see that the ratios of the adiabatic, isothermal, isobaric and isochoric slopes are as follows Mman2700 Formula Sheet Mman2700 Thermodynamics F...
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