Exactly $10\mathrm{.}5$ mL of water at $31\mathrm{.}0\backslash$deg C is added to a hot iron skillet. All of the water is converted into steam at $100\mathrm{.}0\backslash$deg C$.$ The mass of the pan is $1\mathrm{.}15$ kg and the molar heat capacity of iron is $25\mathrm{.}19$ J$/($mol$\backslash$deg C$).$ What is the temperature change of the skillet?