An air standard Carnot cycle is executed in a closed system between the temperat

Question

An air standard Carnot cycle is executed in a closed system between the temperature limits of 350 K and 1200 K. The pressure before and after the isothermal compression are 150 kPa and 300 kPa respectively. The net work output per cycle is 0.6 kJ . Use the IG model for air. Part A Determine the maximum pressure in the cycle. Express your answer to two decimal places and include the appropriate units. Part B Determine the heat transfer to air. Express your answer to three significant figures and include the appropriate units. Part C Determine the mass of air. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

Given that

TH =1200K

TL =350K

Then W =0.6kJ

The maximum pressure is given by

(1200/350)1/0.4 =(Pmax/300)1/1.4

Then Pmax =22388kPa

Now the efficiency of the carnot cycle is n =1-TL/TH =1-350/1200 =0.708

Now the work done is =efficiency*total energy(Etotal) =0.6kJ

Then the total energy is =0.6kJ/0.708 =0.847kJ

Now the heat transfer to air is hair =Etotal-Work =0.847kJ -0.6kJ =0.247kJ

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