Problem $6$:$$ Soda from a mS $=12$ oz can at temperature TS $=18\mathrm{.}5$C is poured in its entirety into a glass containing a mass mI $=0\mathrm{.}14$ kg amount of ice at temperature TI $=-19\mathrm{.}5$C$.$ Assume that ice and water have the following specific heats: cI $=2090$ J$/($kg$$C$)$ and cS $=4186$ J$/($kg$$C$),$ and the latent heat of fusion of ice is Lf $=334$ kJ$/$kg$.$ In this problem you can assume that $1$ kg of either soda or water corresponds to $35\mathrm{.}273$ oz$.$

Part $($a$)$ In degrees Celsius, what is the final temperature Tfinal of the mixture?

Part $($b$)$ Write an expression for how much of the ice mmelted has melted.

Part $($c$)$ In kilograms, how much of the ice mmelted has melted?