What is the final temperature after a 21.8 g piece of ice is placed into a styrofoam cup containing 114 g of hot water at 68.2 degrees C.

Please explain because I don't even understand how to start.

1 answer

heat to melt ice + heat to raise T of melted ice from zero to final T + heat lost from hot water = 0
heat to melt ice is mass x heat fusion.

heat to raise T of melted ice is mass ice x specific heat water x (Tfinal-Tinitial).

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

Add all of those up and set to zero, solve for Tfinal.
I think something like 45 C is the final T but that's just approximate.