Answer :

Given P1 = 150 KPa = 150 × 103 Pa, V1 = 150 cm3 ,V2=50 cm3, T1 = 300 K


(a)By ideal gas equation,


where P, V and T are the pressure, volume and absolute temperature; n is the number of moles of gas; R is the ideal gas constant


I.e.



(b)We know Cp/Cv=γ R=Cp-Cv,


where the molar heat capacity C, at constant pressure, is represented by Cp, at constant volume, the molar heat capacity C is represented by Cv


Now,




(c) Since the process is adiabatic,


PVγ = const.


I.e.




Also, as the process is adiabatic,





(d) From the first law of thermodynamics,


, where dQ is the amount of heat supplied which is zero in an adiabatic process.


i.e.



, where n is the number of moles, Cv is the molar heat capacity at constant volume and dT is the change in temperature




(e)Change in internal energy, dU is



, where n is the number of moles, Cv is the molar heat capacity at constant volume and dT is the change in temperature.




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