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Find the heat transfer and work transfer for each of the four process in the Car

ID: 1391495 • Letter: F

Question

Find the heat transfer and work transfer for each of the four process in the Carnot cycle

4.7-4. The fundamental equation of a particular fluid is UN^1/2V1/2 = A(S - R)^3 where A = 2 * 10^- 2 (K^3m^0/2/J). Two moles of this fluid are used as the auxiliary system in a Carnot cycle, operating between two thermal reservoirs at temperature 100C and 0C. In the first isothermal expansion 10^6 J is extracted from the high-temperature reservoir. Find the heat transfer and the work transfer for each of the four processes in the Carnot cycle.

Explanation / Answer

the work done is:

W = eQh

where

e = 1-Th/Tc = 1-(273)/(373) = 0.268

Qh = 10^6 J

so: W= 2.68 * 10^5 J

and

Qc = Qh-W = 7.32 * 10 ^5 J

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