Given that,
Mass of magnesium, m = 2 kg
Heat added to it, Q = 8160 J
Increase in temperature, [tex]\Delta T=4\ K[/tex]
To find,
The specific heat of magnesium.
Solution,
Th formula that is used to find the heat required to raise the temperature in terms of specific heat is given by :
[tex]Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{8160\ J}{2\ kg\times 2\ K}\\\\c=2040\ J/kg-K[/tex]
So, the specific heat of magnesium is [tex]2040\ J/kg-K[/tex].