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## Homework Statement

If you mixed 200g if ice that is at -5°C with 20g of water that is at 15°C, what will be the temperature and condition of the final state once equilibrium is achieved?

## Homework Equations

Q=mcΔT, Q=mLf

## The Attempt at a Solution

I know that the amount of ice is to great to change with such little water, so I know the final condition will be a 220g block of ice at some temperature between -5°C and 0°C. Since the mass of the water is added to the mass of the ice does this imply that Qgained≠Qlost?

That's what I'm having trouble on, deriving the equation to solve for temperature if they are not equal.