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A mixing chamber for air has two inlets and one outlet. Inlet one has a volumetr

ID: 2994734 • Letter: A

Question

A mixing chamber for air has two inlets and one outlet. Inlet one has a volumetric flow rate of 0.2 m^3/s,
a pressure of 200 kPa, and a temperature of 75 degrees celcius. The other inlet has a volumetric flow rate of 0.3 m^3/s,
a pressure of 200 kPa, and a temperature of 20 degrees celcius. The outlet pressure is 180 k Pa. Neglecting KE and PE, and assuming the mixing chamber is adiabatic, determine the outlet temperature.?
A mixing chamber for air has two inlets and one outlet. Inlet one has a volumetric flow rate of 0.2 m^3/s,
a pressure of 200 kPa, and a temperature of 75 degrees celcius. The other inlet has a volumetric flow rate of 0.3 m^3/s,
a pressure of 200 kPa, and a temperature of 20 degrees celcius. The outlet pressure is 180 k Pa. Neglecting KE and PE, and assuming the mixing chamber is adiabatic, determine the outlet temperature.?

Explanation / Answer

h1@ 200 kPa & 75 degrees celcius= 348.825 kJ/Kg (from Air property chart)


h2@ 200 kPa & 20 degrees celcius= 293.325 kJ/Kg (from Air property chart)


Let hf is final enthalpy.


balancing energy,


Q1h1 + Q2h2 = (Q1+Q2)hf


hf=[Q1h1 + Q2h2]/(Q1+Q2)


= 315.525. kJ/Kg


And pressure is 180 kPa.


Hence temperature = 42 degrees celcius.(from Air property chart)

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