1.33 kg of ice at 0°C is added to an 8.25 kg tub of water at a warmer temp. If their final temp is 15.7°C, What was the inital temp of the water in the tub?

Question

Please help, I cannot get the right answer.

Answer 1

Sum of heats gained is zero.
Heat gained by ice + heat gained by tub water=0
1.33*Hf+1.33cwater*(15.7-0)+8.25cwater*(15.7-Ti)=0
solve for Ti

Answer 2

Thank you for all your help - however, i carried out the calculations you gave me exactly, and I got 18.2 as my answer, i entered it into my program, and it says its incorrect..? Am i missing something?

Answer 3

31.1