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The blacksmith from the first problem now plunges a hot $(1380$degrees Celcius$)$ steel horseshoe into a "slack tub" containing $75$kg of water at $12\mathrm{.}0$degrees Celcius, to harden the steel. The $0\mathrm{.}80$kg horseshoe is left there until it has reached thermal equilibrium with the water. Assuming that no heat is lost to the "slack tub" itself or the surroundings, what is the final temperature of the water, in SI units? $[$Specific heat capacities: steel: $420$ J$/$kg$/$K$,$ water: $4186$ J$/$kg$/$K; assume them to be constant over this range of temperature$]$