The specific heat capacity is the heat required to raise the temperature of 1kg of a substance by 1 deg. celcius and is given by the following formula:
[tex]\begin{gathered} c=\frac{Q}{m\Delta T} \\ c:specific\text{ }heat\text{ }capcity=x \\ Q:heat\text{ }energy=3025J \\ m:massofsubstance=135g=0.135kg \\ \Delta T:temperature\text{ }change(final\text{ }temp.-initial\text{ }temp.) \\ \Delta T:100\degree C-19.5\degree C=80.5\degree C \end{gathered}[/tex]We will substitute these values into the equation to determine the unknown x:
[tex]\begin{gathered} c=\frac{3025J}{0.135kg\times80.5\degree C} \\ c=278.4\text{ }Jkg^{-1}\degree C^{-1} \end{gathered}[/tex]Answer: The specific heat of the metal is 278.4 J/kg deg. C.
