An insulated beaker with negligible mass contains liquid water with a mass of $0\mathrm{.}295$ kg

and a temperature of $83\mathrm{.}3$C

$.$

Part A

How much ice at a temperature of $-20\mathrm{.}0$C

must be dropped into the water so that the final temperature of the system will be $40\mathrm{.}0$C

$?$

Take the specific heat of liquid water to be $4190$ J$/$kg$$K

$,$ the specific heat of ice to be $2100$ J$/$kg$$K

$,$ and the heat of fusion for water to be $3\mathrm{.}34\backslash$times $105$ J$/$kg

$.$