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Chemistry HEAT OF FUSION

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What is the final temperature, in oC, after a 15.0 g piece of ice, at 0oC, is placed in a styrofoam cup with 128 g of water initially at 74.0oC.
Assume there is no transfer of heat to or from the surroundings.

The specific heat of water = 4.184 JK-1g-1
The heat of fusion of ice = 333 Jg-1

  • Chemistry HEAT OF FUSION -

    heat added to ice to melt it + heat added to melt at zero C to final T + heat lost by hot water = 0
    heat added to ice to melt it is mass ice x heat fusion.

    heat added to melt at zero to final T is
    mass melt x specific heat water x (Tfinal-Tinitial)

    heat lost by hot water is
    mass x specific heat x (Tfinal-Tinitial).

    Set the sum of these to zero and solve for Tf.

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