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Physics

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A cube of ice is taken from the freezer at -8.8°C and placed in a 103 g aluminum calorimeter filled with 321 g of water at room temperature of 20°C. The final situation is observed to be all water at 15°C. What was the mass of the ice cube?

Could someone please help me get a setup to solve for this problem with indicating what is what please. Thank you.

  • Physics - ,

    m1 =?
    m2 = 0.321 kg,
    m3 = 0.103 kg,
    c1 = 2060 J/kg•degr is heat capacity of ice,
    c2 = 4180 J/kg•degr is heat capacity of water,
    c3 = 930 J/kg•degr is heat capacity of Al,
    r =335000 the heat of fusion (ice-water),
    Δt1 = 8.8 degr, Δt2 = 15 degr, Δt3 = 5 degr.
    m1• c1• Δt1 + r• m1 + m1• c2• Δt2 = c2• m2•Δt3 +c3• m3• Δt3,
    m1 = Δt3•( c2• m2 +c3• m3 )/( c1• Δt1 + r + c2• Δt2)

  • Physics - ,

    Thanks Elena your a life saver :)

  • Physics - ,

    She's right!

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