an n mole sampleof diatomic ideal gas is taken through the cycle shown 8. An n m

Question

an n mole sampleof diatomic ideal gas is taken through the cycle shown

8. An n mole sample of a diatomic ideal gas is taken through the cycle shown below. At point a, the pressure, volume, and temperature are p0, V0, and T0, respectively. All answers are in terms of p0, V0,: a) Indicate which steps heat enters and leaves the system. b) Find the total energy entering the system by heat per cycle. c) Find the total energy leaving the system by heat per cycle. d) Find the total work done by the cycle. e) Find the efficiency of the engine operating in this cycle.

Explanation / Answer

a) Heat enters the system in process b - c

Heat leaves the system in process d - a

b) Toal energy entering the system = n Cp delta T = n * 3.5 R * ( 4 P0 / n R ) * ( 3V0 - V0 ) = 28 P0 V0

c) Toal energy leeaving the system = n Cp delta T = - n * 3.5 R * ( P0 / n R ) * ( V0 - 3V0 ) = 7 P0 V0  

d) Total Work done = Area of the cycle = ( 4P0 - P0 ) x ( 3 V0 - V0 ) = 6 P0 V0

e) Efficiency of the system = Work done x 100 / Heat input = 6 *100 / 28 = 21.42 %

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