oe takes two $40\mathrm{.}0$ g ice cubes initially at $0$oC and adds them to a glass beaker containing $450$ g

of water at $22\mathrm{.}0$oC$.$ Assume that this system is insulated and ignore heat transfer with the glass.

The latent heat of fusion of ice is $3\mathrm{.}33105$ J$/$kg and the specific heat of water and ice are $4190$

J$/($kgoC$)$ and $2100$ J$/($kgoC$),$ respectively.

a$)$ What is the equilibrium temperature of the mixture?

b$)$ What is the total heat required to melt the ice