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Calculate Equilibrium Temperature

  1. Nov 27, 2012 #1
    1. The problem statement, all variables and given/known data

    A 1kg of ice at -30° C is added to 10 kg of steam at 500°C. answer the following questions: a) What is the final phase of the system of ice + steam if no heat escaped from it.
    b) What is the final temperature when the equilibrium is established


    2. Relevant equations

    Q= mc (delta) T
    Q= mL

    3. The attempt at a solution

    I am assuming that the final phase will be steam.

    I have tried multiple times, but I cannot seem to get the answer. I know that

    Q(-30 --> 0) + Q (ice fusion) + Q(0 --> 100) + Q(heat of vaporization) + Q(Tf - 100) = Q(Tf - 500).

    Any help would be greatly appreciated
     
  2. jcsd
  3. Nov 27, 2012 #2

    gneill

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    Staff: Mentor

    Why don't you start by showing your calculated values for the various heats that you know (the individual terms of the expression you wrote).
     
  4. Nov 27, 2012 #3

    Simon Bridge

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    Science Advisor
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    Gold Member
    2016 Award

    What is your reasoning for this?
    (May be a fair bet for the masses involved - but you shouldn't be guessing.)

    L_{v}=2252kJ/kg
    L_{m}=144kJ/kg
    C_p = 4.2kJ/kgK (approx 0 - 100C)
    for steam (100C+) it can vary a LOT.
    http://www.engineeringtoolbox.com/water-thermal-properties-d_162.html
     
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