Liquid water at 10°C enters an insulated mixing chamber at a rate of 180 kg/s. In the chamber, the water is mixed with a second stream of liquid water, which enters at 90°C. Using your mixing chamber model to calculate the data, plot the exit temperature of the combined stream for mass flow rates of the second stream ranging from 20 kg/s to 500 kg/s.
State 1: Cool Liquid inlet; State 2: Warm Liquid inlet; State 3: Outlet
Given: T1 = 10°C; T2 = 90°C; m?1= 180 kg/s
Assume: Q?=0 (insulated). Given no other information regarding the mixing chamber, make the following common assumptions: W?=?KE=?PE=0
Also, assume the mixing chamber is a multiple-inlet, single-outlet, steady-state, steady-flow device.
What will be an ideal response?
The First Law for Open Systems reduces to m?1h1+m?2h2=m?3h3
The conservation of mass yields: m?1+m?2=m?3
Treat the water as an incompressible substance with constant specific heats: c = 4.18 kJ/kg;
?h = c?T
Solving the First Law for T3: T3=m?1T1+m?2T2m?1+m?2
For the range of State 2 mass flow rates:
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