Superheated ammonia enters a mixing chamber at a pressure of 50 psia at a mass flow rate of 5 lbm/s. Saturated liquid ammonia enters the chamber at a rate of 0.60 lbm/s, at 50 psia. Heat is lost from the chamber at a rate of 125 Btu/s. If the combined exit flow is saturated vapor ammonia at 50 psia, determine the temperature of the superheated ammonia which entered the chamber.
State 1: Vapor inlet; State 2: Saturated liquid inlet; State 3: Outlet
Given: P1 = P2 = P3 = 50 psia; m?1= 5.0 lbm/s; x2 = 0.0; m?2=0.60lbms; x3 = 1.0; Q?=?125 Btu/s
Assume: 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 Q?+m?1h1+m?2h2=m?3h3
The conservation of mass yields: m?1+m?2=m?3 = 5.6 lbm/s
For ammonia:
h2 = 66.0 Btu/lbm
h3 = 617.6 Btu/lbm
Solving the First Law for h1: h1=m?3h3?m?2h2?Q?m?1 = 632.9 Btu/lbm
At P1, this enthalpy value corresponds to T1 = 47.2°F
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