Atmospheric air is to be compressed and heated as shown in the figure before bei

Question

Atmospheric air is to be compressed and heated as shown in the figure before being fed into a chemical reactor. The ambient air is at 20 degree C and 1 bar, and is first compressed to 5 bar and then heated at constant pressure to 400 degree C. Assuming air can be treated as a single component ideal gas with Cv = 21 J/(mol K), and that the compressor operates adiabatically and reversibly, Determine the amount of work that must be supplied to the compressor and the temperature of the gas leaving the compressor. Determine the heat load on the heat exchanger.

Explanation / Answer

Cv =21 hence Cp/Cv =(Cv+8.314)/Cv =1.4 a)(t2/t1) =(p2/p1)^[(1.4-1)/1.4] hence t2 =293*5^0.286 t2 =464.27 K =191.27 degree celcius = temprature of gas leaving container work = Cv(t2-t1)/(1.4-1) =8991.81 J b) load on heat exchanger =Cv*(400-191.27) =4383 J

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