It takes 53.0 to raise the temperature of an 11.1 piece of unknown metal from 13.0 to 24.1 What is the specific heat for the metal?
Without stating units, it is impossible to answer this question accurately. However, the equation you would need is q=mc∆T, where q is the heat flow (the 53.0 listed, likely Joules), m is the mass of the unknown metal (11.1, likely grams), c is the specific heat of the metal (the unknown you need to solve for), and ∆T is the change in temperature of the metal (24. 1-13.0, likely Celcius) Rearranged to solve for specific heat, the question is c=q/m∆T.
We are going to determine the specific heat of copper metal. Now this has already been done many times, so the value is available in reference books. We will pretend that is not the case.
Obviously, we need some pure copper, so we take a small piece of it. Let`s say we use 15.0 grams. The shape does not matter.
We place the copper metal into an open beaker filled with boiling water and allow it to sit. We allow it to sit until all of the copper metal is the same temperature as the boiling water. We know what the temperature is, don`t we?
It`s 100.00 °C. Now, how long it sat in the boiling water is immaterial, because we will assume it sat long enough.
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