Answer :
Answer:
[tex]559^{\circ}C[/tex]
Explanation:
When heat is supplied to a substance, the temperature of the substance increases according to:
[tex]Q=m C (T_f-T_i)[/tex]
where
Q is the amount of heat supplied
m is the mass of the substance
C is the specific heat capacity of the substance
[tex]T_i[/tex] is the initial temperature
[tex]T_f[/tex] is the final temperature
For the sample of magnesium in this problem, we have:
m = 63 g is the mass
Q = 6689 J is the hear supplied
C = 1.023 J/gC is the specific heat capacity
[tex]T_f=663^{\circ}C[/tex] is the final temperature
Solving the formula for [tex]T_i[/tex], we find the final temperature:
[tex]T_i = T_f-\frac{Q}{mC}=663-\frac{6689}{(63)(1.023)}=559^{\circ}C[/tex]