A $54\mathrm{.}1g$ sample of iron is put into a calorimeter $($see sketch at right$)$ that contains $200\mathrm{.}0g$ of water. The iron sample starts off at $98\mathrm{.}4C$ and the temperature of the water starts off at $23\mathrm{.}0C.$ When the temperature of the water stops changing it's $25\mathrm{.}7C.$ The pressure remains constant at $1$atm.

Calculate the specific heat capacity of iron according to this experiment. Be sure your answer is rounded to $2$ significant digits.