To find the specific heat capacity of a certain metal, a student places a block of the metal that weighs 27 grams and has an initial temperature of 97 deg c, into 52 grams of water with a temperature of 20 deg c. the final temperature was measured to be 27 deg c. what is the heat capacity of the metal?

The heat capacity of the metal is:

Explanation:

Consider the energy balance; it says that the energy in the initial state is equal to the energy in the final state for the system, where the system is the water and the metal. M and W subscripts mean metal and water respectively, and 1 and 2 superscripts means the initial an the final state respectively.

The energy balance is:

The difference between Cp and Cv is neglective for solids and liquids, so it is possible to change Cv by Cp:

And the only unknown from the equation is , so:

answer; (arch); good luck

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