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Equilibrium Temperature

  1. Feb 3, 2009 #1
    1. The problem statement, all variables and given/known data
    A 150g aluminum cylinder is removed from a liquid nitrogen bath, where it has been cooled to -196 degrees C. The cylinder is immediately placed in an insulated cup containing 60.0g of water at 15.0 degrees C. What is the equilibrium temperature of the system?

    2. Relevant equations
    Q(water) = m(water) c(water) (∆T)
    Q(water to ice)= m(water) Lfusion of ice
    Q(aluminum) = m(aluminum) c(aluminum)(∆T)

    3. The attempt at a solution
    My problem is how to find the equilibrium temperature using those equations?
  2. jcsd
  3. Feb 4, 2009 #2
    My preference would be to work in °Kelvin not °Celcius. In which case....

    HeatLost = HeatGained

    HeatLost = MassWater*SpecificHeatWater*(InitialWaterTemp-FinalTemp) + MassWater*LatentHeat

    HeatGained = MassAluminium*SpecificHeatAluminium*(FinalTemp-InitialAluminiumTemp)
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