Answer:
[tex]44^{\circ}C[/tex]
Explanation:
When heat energy is supplied to a substance, its temperature increases according to the equation:
[tex]Q=mC\Delta T[/tex]
where
Q is the energy supplied
m is the mass of the substance
C is the specific heat capacity
[tex]\Delta T[/tex] is the increase in temperature
For the block of copper in this problem:
m = 5 kg
C = 385 J/kg°C
Q = 46,200 J
Therefore, the increase in temperature is
[tex]\Delta T=\frac{Q}{mC}=\frac{46,200}{(5)(385)}=24^{\circ}C[/tex]
And since the initial temperature is 20°C, the final temperature will be
[tex]T_f=20^{\circ}C+\Delta T=44^{\circ}C[/tex]
