# Work done by a Carnot Engine. Melting ice

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1. Feb 14, 2017

### The Real Simon

1. The problem statement, all variables and given/known data
The problem is that a Carnot contains Boiling water in the hot reservoir and ice water in the cold reservoir.
Given that 0.0400kg of ice is melted in 5 minutes, what is the amount of work done by the engine.

2. Relevant equations
Qh/Qc=Th/Tc
W=Qh-Qc
W=(1-Tc/Th)Qs
q=mHf
e=1-Tc/Th
e=W/Th
heat of fusion of water=Hf=333.55kJ/kg
I'm sure more are needed to solve it

3. The attempt at a solution

All I was able to solve is the energy transferred to the cold reservoir. q=0.0400kgx333.55kJ/kg=13.3kJ I think this is the Qc but really not sure.

Thanks for the help!!

2. Feb 14, 2017

### Staff: Mentor

Yes, that's $Q_c$. You now need to find the work done by the Carnot engine.

3. Feb 14, 2017

### Staff: Mentor

Since you know Qc, you know 3 out of the 4 quantities in your first equation.