Work done by a Carnot Engine. Melting ice

[The Real Simon]

Homework Statement

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.

Homework 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!

 

[DrClaude]

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.

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

 

[Chestermiller]

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