Ice & Water

A $5 g$ piece of ice at $-20^{o}C$ is put into $10 g$ of water at $30^{o}C$ . Assuming the heat is only exchanged between the ice and water, find the final temperature of the mixture.

Specific heat capacity of ice = $2100$ $J kg^{-1} C^{-1}$

Specific heat capacity of water = $4200$ $J kg^{-1} C^{-1}$

Latent heat of fusion of ice = $3.36 \times 10^{5}$ $J Kg^{-1}$