You need to think through what the problem is telling you. Remember, you have three heats:

q_{calorimeter}

q_{water}

q_{metal}

Each one of these q’s is determined by the equation

q = (m) x (c) x (deltaT)

When you are given the mass of the calorimeter, that’s

the “m” in the equation for q_{calorimeter}. When you are

given the mass of the water, that’s the “m” in the equation for

q_{water}. When you are given the mass of the metal, that’s

the “m” in the equation for q_{metal}.

Also, as explained in the book, the temperatures of the water

and calorimeter are the same throughout the experiment.

Thus, the final temperature of the water minus the initial

temperature of the water is the deltaT in the equations for

both q_{calorimeter} and q_{water}. In addition, as explained in

the book, the final temperature of the metal is also the same

as the final temperature of the water and calorimeter. Thus,

the initial temperature of the metal minus the final

temperature of the water is the deltaT in the equation for

q_{metal}.

There will always be two q’s for which you have enough

information to get numbers. There will be one q where you

are missing information, but you can figure that out using

the calorimetry equation:

-q_{metal} = q_{water} + q_{calorimeter}

Solving for the q you do not know will then allow you to use

that q’s equation to solve for the unknown in the problem.