How much heat transfer is necessary to raise the temperature of a $0\mathrm{.}3$ kg piece of ice from $19$C to $100$C water? $($Specific heat of ice $=2090$ J$/$Kg $$C$,$ Specific latent heat of ice $=334$ kJ$/$kg$,$ specific heat of water, Specific heat of water $=4200$ J$/$Kg $$C$,$ Specific latent heat of vaporization $=2256000$ J$/$kg$)$ Choose the closest answer.

Group of answer choices

$530\mathrm{.}19$ kJ

$238\mathrm{.}11$ kJ

$401\mathrm{.}12$ kJ

$612\mathrm{.}13$ kJ

Correct answer not given