A gold coin whose mass is $8\mathrm{.}51$ g is heated to $137\mathrm{.}4$oC and then quickly dropped into an ice calorimeter. What mass of ice melts? $($The amount of heat in an ice calorimeter is determined from the quantity of ice the melts, knowing that it takes $6\mathrm{.}01$ kJ of heat to melt exactly one mole of ice. Molar heat capacity of gold is $25\mathrm{.}418$ J$/$mol$/$K$)$