As a 15.1-gram sample of a metal absorbs 48.75 j of heat its temperature increases 25.0 k what is the specific heat capacity of the metal

Specific heat capacity (c) of a material is related to the Energy Absorbed (Q), mass of the material (m) and the change in temperature (T) by the following equation:



Substituting the values of Q, m and T in the above equation, we get:



So the specific heat capacity of the metal with given conditions will be 0.129 J/g.K 

Yes you are correct use the scientific method