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Work done by a Carnot Engine. Melting ice

  1. Feb 14, 2017 #1
    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. jcsd
  3. Feb 14, 2017 #2

    DrClaude

    User Avatar

    Staff: Mentor

    Yes, that's ##Q_c##. You now need to find the work done by the Carnot engine.
     
  4. Feb 14, 2017 #3
    Since you know Qc, you know 3 out of the 4 quantities in your first equation.
     
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