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## Homework Statement

In an insulated vessel, 250g of ice at 0 C is added to 600g of water at 18.0 C.

A) What is the final temperature of the system?

B) How much ice remains when the system equal equilibrium?

## Homework Equations

[tex]Q = mc \Delta T + mL [/tex]

## The Attempt at a Solution

I can't figure out what is wrong when I do it but I am sure its my concept. The answer in the back for temperature final is 0 C. I have tried setting up this equation multiple ways but I still can't seem to get the answer. I think the part I don't understand is what do I do for the ice side of the equation. If the final answer is 0 then the ice never finishes its phase change so what do I do for that side of the equation? Here are a couple of ones I have tried:

[tex] m_{ice}L{f} + m_{water}c_{water} \Delta T - m_{water}L_{f} = 0[/tex]

Basically I have just tried various versions of that, with the latent heat part all over the place, and the the ice switching to water as well, but none seem to work. Can anyone help me get this started?