A $2\mathrm{.}64-kg$ copper part, initially at $T_C=550C,$ is plunged into a tank containing $4$ kg of liquid water, initially at $T_w=25C.$ The copper

part and water can be modeled as incompressible with specific heats $c_c=0\mathrm{.}385k\frac{J}{k}g*K$ and $c_w=4\mathrm{.}2k\frac{J}{k}g*K,$ respectively. Use the

copper part and water as the system. Ignore heat transfer between the system and its surroundings.

Determine the final equilibrium temperature $T_f,$ in $C,$ and the amount of entropy produced within the tank, in $k\frac{J}{K}.$