Answer:
3.5 K
Explanation:
When a sample of a substance releases heat energy, its temperature decreases according to the equation:
[tex]Q=mC(T_f-T_i)[/tex]
where
Q is the heat energy released
m is the mass of the substance
C is the specific heat capacity
[tex]T_i[/tex] is the initial temperature
[tex]T_f[/tex] is the final temperature
For the block of brass in this problem, we have:
m = 0.1 kg is the mass
Q = -56.4 J is the heat energy released (negative since it is released)
C = 380 J/kg K is the specific heat capacity of brass
[tex]T_i=5 K[/tex] is the initial temperature
Solving for [tex]T_f[/tex], we find the final temperature:
[tex]T_f=T_i + \frac{Q}{mC}=5+\frac{-56.4}{(0.1)(380)}=3.5 K[/tex]
