heat lost in melting ice + heat gained by H2O from melted ice + heat lost by water @ 25C = 0
heat lost by melted ice = mass x heat fusion = 15 x heat fusion.
heat gained by H2O from ice = mass x specific heat H2O x (Tfinal-Tintial) = 15 x specific heat H2O x (Tfinal-0)
heat lost by 25C H2O = mass H2O x specific heat H2O x (Tfinal-Tinitial) = 200 x specific heat H2O x (Tfinal-25)
Now you put all of these together and solve for Tfinal.
[mass ice x heat fusion] + [mass H2O from ice x specific heat H2O x (Tfinal-Tinitial)] + [mass 25C H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Suppose you add a small ice cube to room temperature water in a coffee cup calorimeter. What is the final temperature when all the ice is melted? Assume that you have 200.0 mL of water at 25.0 degrees Celsius and the ice cube weighs 15.0 g and is at 0.0 degrees Celsius before being added to the water.
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