The amount of heat needed to increase the temperature of a substance by
![\Delta T](https://img.qammunity.org/2019/formulas/physics/high-school/am9idgh0aws0rfrs347h1z6ekdwsht99qt.png)
is given by
![Q=mC_s \Delta T](https://img.qammunity.org/2019/formulas/physics/high-school/z1yv0mpksr0fehwr667035n0dy1ja273p1.png)
where
m is the mass of the substance
Cs is the specific heat capacity of the substance
![\Delta T](https://img.qammunity.org/2019/formulas/physics/high-school/am9idgh0aws0rfrs347h1z6ekdwsht99qt.png)
is the increase of temperature of the substance
If we plug the data of the problem into the formula, we find
![Q=(12.5 g)(0.125 cal/g^(\circ)C)(100.0^(\circ)C-20.0^(\circ)C)=125 cal](https://img.qammunity.org/2019/formulas/physics/high-school/sysqorncv62tc6nja5x6pg0idbgj92ohjp.png)
and this is the amount of heat needed to bring 12.5 g of aluminium from 20 degrees to 100 degrees.