25) A 75-g ice cube at 0 C is placed in 825g of water at 25 C. a) What is the final temperature of the mixture? b) If the final temperature is 0 C, then how much ice remains?

c) change the ice's mass to 300g, and repeat the problem

I don't know how to work this at all!!! PLEASE HELP!

2 answers

Go through the numbers and you should find that there is enough energy in the water to melt all of the 75 g of ice, but not 300 g of ice.

In the 75 g case, after all the ice is melted, the remaining heat in the water gets transferred to the melted ice, resulting in a final temperature between 0 and 25 C.

In the second (300 g of ice) case, not all of the ice melts. Calculate how much heat is lost cooling the water to 0 C, and see how much of the ice can be melted in the process.
How do you find the final temperature of the mixture though?