$(5$ pts$)7.$ You mix $0\mathrm{.}100$ kg of ice that is at T $=0\mathrm{.}0$C with $0\mathrm{.}100$ kg of liquid water at $100\mathrm{.}0$C in

an insulated container of negligible mass. What is the final temperature, after thermal equilibrium has

been reached? Assume no heat is lost to the surroundings. $($Note: For ice c $=2010$ J$/($kg$$C$)$ and for

liquid water c$=4190$ J$/($kg$$C$).$ For water Ip $=3\mathrm{.}34$x$10$ J$/$kg and L$,=1\mathrm{.}256106$ J$/$kg$.)$

$($a$)10\mathrm{.}1$C

$($b$)39\mathrm{.}9$C

$($c$)50\mathrm{.}0$C

$($d$)89\mathrm{.}9$C

$($e$)$ none of the above answers