Posted by Janesa on Friday, March 9, 2012 at 11:10am.
I would work this in two stages.
{mass ice x specific heat ice x [0-(-30)]} + [(mass warm water x specific heat water x (x-87)] = 0
That will take care of moving the ice T to zero C. x is the temperature of the mixture. The next step actually is three steps in one.
heat to melt ice at zero C + heat added to melted ice to final T + heat lost by water at higher T to Tfinal.
[mass ice x heat fusion] + [mass melted ice x speicif heat ice water x (Tfinal-Tinitial)] + [mass warm water at x temperature x specific heat water x (Tfinal-Tinitial)] = 0
Tinitial for the warm water will be x value determined in the first step.
Post your work if you get stuck.
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