# Im having trouble understanding what the question is asking?

May 18, 2017

If you want to determine what metal you have, and you know it is a pure metal, it can be identified simply by knowing its specific heat capacity ${C}_{P}$ in $\text{J/g"^@ "C}$, i.e. how much heat it takes to raise $\text{1 g}$ of the substance temperature by ${1}^{\circ} \text{C}$.

Heat flow $q$ is the amount of heat content in $\text{J}$ flowing through a substance, which causes it to change in temperature. Knowing $q$ and the change in temperature, $\Delta T$, as well as the mass of the substance in $\text{g}$, the heat capacity can be determined:

$q = m {C}_{P} \Delta T$

We were given:

• $m = \text{15.0 g}$
• C_P = ???
• $\Delta T = {T}_{f} - {T}_{i} = {18.8}^{\circ} \text{C" - 17.7^@ "C}$
• $q = \text{6.35 J}$

Therefore:

${C}_{P} = \frac{q}{m \Delta T}$

= ("6.35 J")/("15.0 g" xx (18.8^@ "C" - 17.7^@ "C"))

= color(blue)("0.385 J/g"^@ "C" -= C_(P("Cu")))