J.R. S. answered 11/12/19
Ph.D. University Professor with 10+ years Tutoring Experience
We can use the equation q = mC∆T
q = heat = 500 J
m = mass = 8.86 g
C = specific heat of silicon = 0.712 J/g/deg
∆T = change in temperature = ?
500 J = (8.86 g)(0.712 J/g/deg)(∆T)
∆T = 500 J/(8.86 g)(0.712 J/g/deg) = 79.3 degrees
This is the CHANGE in temperature, not the final temperature.
Final temperature = 22.9º + 79.3º = 102.2ºC (note heat is added to initial temperature because heat was absorbed)