Wednesday, April 25, 2007

HW #7, P6 - "Show That" for a Cycle Interacting with Three Reservoirs - ?? pts

The system shown in the figure undergoes a cycle while receiving energy at the rate Qsurr from the surroundings at temperature Tsurr, receiving QH from a heat source at temperature TH, and rejecting QC to a thermal reservoir at TC. Derive an expression for the maximum theoretical value of QC in terms of QH and Tsurr, TH and TC only.

5 comments:

Anonymous said...

I'm not exactly sure what the expression is to relate Qsurr in terms of Qh. Is it just as simple as Qin = Qout?

sparticus said...

You are correct! It is Qin = Qout.

Dr. B said...

stone cold & sparticus:
The relationship is the 1st law applied to the cycle or system. Qsurr + QH = QC

Anonymous said...

Hi professor,
I just checked the hw again, and it seemed you've made some changes to this problem. In the new version you replace "Tsurr, Th and Tc" with "To, Ts, and Tu" respectively. I wasn't sure what these new terms mean, are they the same as the one in the older version of the hw?

Dr. B said...

Anon:
Yes. The terms have the same meaning. They are the temperatures of the system at which the heat is exchanged with the reservoirs.