Thermodynamics Question - Entropy etc

AI Thread Summary
The discussion revolves around a thermodynamics homework question involving entropy and the coefficient of performance. The user has attempted to apply the equation dS = dQ/T and has made calculations for entropy changes, questioning the relevance of mass in their calculations. They express confusion regarding the coefficient of performance for an ice-maker and seek clarification on how to improve it. The user is looking for assistance due to the loss of their study notes. Overall, the thread highlights challenges in understanding key thermodynamic concepts and calculations.
doubleB
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Homework Statement


I've attached a J-peg with the question in, laid out much more clearly than I could expect to type it here. I hope the attachment is ok.


Homework Equations





The Attempt at a Solution



So far I have:

(1) dS = dQ / T
Entropy is a measure of a system's disorder.

(2) I've drawn a flow diagram but can't get a picture of that on here. Suffice to say I have tried to do this part quite hard but can't get it to work.

(3)

(a) dS = dQ /T ... dQ = 3/2 N K dT ... so dS = 3/2 N K dT/T. Then I can work out the integral and do this first part for temperature going from 293 to 273? Does mass not matter here?

(b) dS = dQ/T ... We know Q from the question as 333kJ/kg so S = Q/T goes to S = 333 * 1 kilogram of water / 273 Kelvin. Is this right?

(c) I have no idea how to do this.

The entropy change of the universe will increase during this process, as it will do for all processes above 0 Kelvin.

(4) Coefficient of Performance = Qh / Work = Qh / Qh - Qc ... this can then be written as Th / Th - Tc = 323K / 323K - 273K = 6.46.

To improve the coefficient of performance of the ice-maker you could decrease the temperature of the hot reservoir? This doesn't seem to make sense...

If anyone has the time to look at this and help me I would very much appreciate it as I have lost all my second year notes on thermodynamics and can't see how to do this question properly.

DoubleB
 

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