Answer:
Final temperature is located between 5 °C and 20 °C.
Explanation:
The object with high temperature transfers energy to the object with low temperature until thermal equilibrium is reached, that is, when both objects have the same temperature.
[tex]Q_{H} = -Q_{L}[/tex]
[tex]C_{H}\cdot (20^{\textdegree}C - T) = -C_{L}\cdot (5^{\textdegree}C-T)[/tex]
[tex]20\cdot C_{H} - C_{H}\cdot T = -5\cdot C_{L}+ C_{L}\cdot T[/tex]
[tex](C_{H}+C_{L})\cdot T=20\cdot C_{H} + 5\cdot C_{L}[/tex]
[tex]T = 20\cdot\frac{C_{H}}{C_{L}+C_{H}} + 5\cdot \frac{C_{L}}{C_{L}+C_{H}}[/tex]
Now, let consider three scenarios:
Scenario 1 - [tex]C_{H} = C_{L][/tex]
[tex]T = 12.5^{\textdegree}C[/tex]
Scenario 2 - [tex]C_{H}>> C_{L}[/tex]
[tex]T = 20^{\textdegree}C[/tex]
Scenario 3 - [tex]C_{H}<<C_{L}[/tex]
[tex]T = 5^{\textdegree}C[/tex]
Final temperature is located between 5 °C and 20 °C.
