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Thermodynamics Problem(Water and Ice)

  1. Sep 30, 2012 #1
    Two part question, I can answer the first one, but i don't know how

    A 200g calorimeter made of aluminum contains 500g of water at 20°C. A 100g piece of ice is cooled to -20°C and is placed in the calorimeter.

    (a)Find the final temperature of the system, assuming no heat loss.
    (b)If we are to add a second 200g piece of ice at -20°C, how much ice remains in the system after it reaches equilibrium?

    Some Constants and Equations
    Specific Heat of Ice=2.0kJ/kg°C
    Specific Heat of Water=4.186kJ/kg°C
    Specific Heat of Aluminum=.91kJ/kg°C
    Q=mcΔT and Q=mL

    I answered the first one(a) and got 16.77°C.

    I tried to answer the second one(b)

    Q(1)=mcΔT=(.2kg)(2.0kJ/kg°C)(0°C-(-20°C)) [From -20°C to 0°C]
    Q(2)=mL=(.2kg)(334kJ/kg)=66.8kJ [Ice-To-Water]

    I'm stuck here... Also, am I doing it right?

    Thanks for any help.
     
  2. jcsd
  3. Sep 30, 2012 #2

    Doc Al

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    Staff: Mentor

    Show how you got this answer.
     
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