A piece of metal with mass of $5\mathrm{.}68g$ is heated to $342\mathrm{.}10K.$ The metal is placed in a water bath of mass $48\mathrm{.}32g$ at an initial temperature of $292\mathrm{.}46K.$ The final temperature of the water is measured to be $295\mathrm{.}05K.$ The metal is at equilibrium with the water and thus has the same temperature. Calculate the specific heat of the metal $($in units of $\frac{J}{g*K})$ given the specific heat of water is $4\mathrm{.}184\frac{J}{g*K}.$ Report your answer to two decimal places.

NOTE: This example is based on a small range of actual data. Your experimental numbers may or may not fall within this range. The purpose of this question is to be an example and to give you practice in performing the calculation.

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