What are the four processes that constitute a Carnot cycle\'? Give the relevant

Question

What are the four processes that constitute a Carnot cycle'? Give the relevant governing equations. Draw the cycle for a CPIG, labeling the processes and illustrating the heat transfer on each. One: kilogram of air performs a Carnot cycle between the temperatures of 400 K and 300 K . On the upper isothermal transformation the initial volume is .4 m3 and the final volume is A m3. Find the work performed during the cycle and the amounts of heat exchanged with the two sources A cyclic engine n:ceives 325 k.J from a 1000 K thermal reservoir. It rejects 125 k.J to a 400 K reservoir, and the cycle produces 200 k.J of work as output. Does this system violate the first law of thermodynamics. Does it violate the second law? Will nature prefer that this engine will work? A 1 kg mass of H2O has a temperature of 300 degree C and an entropy of 4 kJ/kg. K. Find the energy, enthalpy, pressure, and specific volume.

Explanation / Answer

7.

First law: Q_in - Q_out = Work produced

Here we have, 325 - 125 = 200. Hence, it does not violate first law.

For 2nd law, Carnot efficiency = 1- T_low / T_high

= 1 - 400 / 1000

= 0.6

Actual efficiency = Work produced / Heat input

= 200 / 325

= 0.615

Since actual efficiency > Carnot efficiency, it volates 2nd law.

Nature will not prefer it.

8.

From water properties at T = 300 deg C and s = 4 kJ/kg-K we get,

u = 1710 kJ/kg

h = 1770 kJ/kg

P = 86 bar

v = 0.00755 m^3/kg

Source: http://www.irc.wisc.edu/properties/

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