Step-by-step explanation:
We have to find the final temperature of a block of granite. We have to apply this formula:
Q = m * C * ΔT
Where Q is the amount of heat gained or released, m is the mass, C is the specific heta and ΔT is the temperature change.
Q = 5.5 *10^9 J (positive because the block gained the energy)
m = 9500 g
C = 0.77 J/(g*°C)
ΔT = Tfinal - Tinitial
ΔT = Tfinal - 15.0 °C
We can replace these values in the formula and solve it for the final temperature to get the answer to our problem.
Q = m * C * ΔT
5.5 * 10^9 J = 9500 g * 0.77 J/(g*°C) * (Tfinal - 15.0 °C)
5.5 * 10^9 J/(9500 g * 0.77 J/(g*°C) = Tfinal - 15.0 °C
751880 °C = Tfinal - 15.0 °C
Tfinal = 751880 °C + 15.0 °C
Tfinal = 751895 °C = 752000 °C
Answer: the final temperature of the granite is 752000 °C.