# Equilibrium Temperature and composition

## Homework Statement

Describe the composition and temperature of the equilibrium mixture after 1.0 kg of ice at -40*C is added to 1.0 kg of water at 5.0*C.

## Homework Equations

$$\begin{gathered} Q = mc\Delta T \hfill \\ Q = mL \hfill \\ \end{gathered}$$

Book answer:1.2kg ice, 0.80 kg water, all at 0*C

## The Attempt at a Solution

I'm not quite sure how to set this one up. I've tried:

$$m_i c_i \Delta T_i + m_w c_w \Delta T_w = 0$$

With this I found the equilibrium temperature to be -9.8*C....