A $0\mathrm{.}5970$ kg ice cube at $-12\mathrm{.}40\backslash$deg C is placed inside a rigid, thermally isolated chamber containing $5\mathrm{.}950$ moles of steam at $365\mathrm{.}0\backslash$deg C$.$ Later, you notice that the ice cube has completely melted into a puddle of water. The specific heats of ice, water, and steam are c$\_($ice $)=2093($J$)/($kg$*\backslash$deg C$),$c$\_($water $)=4186($J$)/($kg$*\backslash$deg C$),$ and c$\_($steam $)=2009($J$)/($kg$*\backslash$deg C$),$ respectively. Calculate the final temperature T$\_($f$)$ of the puddle once it settled to equilibrium.