Answer: [tex]468.75^0C[/tex]
Explanation:
The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.
[tex]Q=m\times c\times \Delta T[/tex]
Q = Heat absorbed
Given : heat released in 1 year = 0.03 J/kg
heat released in 12.5 million years=[tex]\frac{0.03 J}{1}\times 12.5\times 10^6=375000J/kg[/tex]
m= mass of substance = 1 kg
c = specific heat capacity = [tex]800J/kg^0C[/tex]
Initial temperature of the water = [tex]T_i[/tex]
Final temperature of the water = [tex]T_f[/tex]
Change in temperature ,[tex]\Delta T=T_f-T_i=?[/tex]
Putting in the values, we get:
[tex]375000J/kg=1kg\times 800J/kg^0C\times \Delta T[/tex]
[tex]\Delta T=468.75^0C[/tex]
The increase in temperature for a thermally insulated chunk of granite is [tex]468.75^0C[/tex]