Equilibrium Temperature of Cup and Water When Adding Ice - Homework Solution

[map7s]

Homework Statement

A 35 g ice cube at 0.0°C is added to 110 g of water in a 62 g iron cup. The cup and the water have an initial temperature of 36°C. Find the equilibrium temperature of the cup and its contents.

Homework Equations

heat lost by water+cup Q(w)=m(water)c(w)deltaT+m(cup)c(c)deltaT
amt. of heat needed to melt ice Q(ice)=m(ice)L(f)
amt. of heat left Q=Q(w)-Q(ice)
deltaT=Q/((m(w)+m(ice))c(w)+(m(cup))c(cup))

The Attempt at a Solution

I tried plugging in my numbers to the equations above but I didn't get the right answer. I'm fairly certain that my equations are correct but the only one that I am uncertain about is the last one.

 

[map7s]

Never mind...I found out that it was simply a miscalculation error in converting units. :)