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.
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
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