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Problem 1: Adiabatic expansion of an ideal gas.
The state equation of an ideal gas is given by PV = nRT, n is molar number
The internal energy of the gas U =3/2 nRT
Derive the relationship between P and T when the gas expands adiabatically (without heat exchange with environment) from V1 to V2.
Problem 2: Efficiency of Carnot engine
For the Carnot cycle shown below,
(a) Calculate Q1 and Q2
(b) Calculate work W and efficiency of the engine