Answer :

Given CP/CV = γ


Let P1=P0 be the Initial Pressure, V1=V0 be the Initial Volume


(a)Since the volume is slowly compressed, temperature remains constant I.e. Isothermal compression. Let P2 and V2=V0/2 be the pressure and volume after slow compression





When volume is suddenly compressed, it is an adiabatic process .Let P3 and V3 be the pressure and volume after sudden compression .i.e.


PVγ = const.


I.e.


Substituting value of P2=2P0



(b) Since the volume is suddenly compressed, I.e. it is an adiabatic process Let P2 and V2=V0/2 be the pressure and volume after sudden compression, then


PVγ = const.


I.e.


Substituting value of P1=P0



Now, since the volume is slowly compressed, temperature remains constant I.e. Isothermal compression. Let P3 and V3=V0/4 be the pressure and volume after slow compression.





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