A tank contains $50kg$ of liquid water at $25C.$ At $t=0,$ valves are opened such that liquid

water at $80C$ flows in at $5k\frac{g}{m}in$ at one location, liquid water at $50C$ flows in at $5k\frac{g}{m}in$ at

another location, and water leaves the tank from a third location at temperature $T$ at $10k\frac{g}{m}in.$

The tank is very well mixed, and its contents always have a uniform temperature. What is the

temperature of the effluent water stream after these flows have been running long enough for

the system to reach steady state? $($ANS: $65C)$