A typical diffuser in the roof of our building is designed to deliver warmed out

Question

A typical diffuser in the roof of our building is designed to deliver warmed outdoor air through our classrooms in the winter. These diffusers must deliver 6000 kg/hr of warmed air at an exit pressure of at least 100 kPa. Assuming at our altitude of 5280 feet, these diffusers handle average influent atmospheric pressure of 80 kPa, and that this air is heated to 127 C (before it enters the diffusers, after which it is blended with cold air), determine the following if the diffuser is adiabtic:

1) exit temperature of the air

2) exit area of the diffuser

Explanation / Answer

Exit temperature = P1/T1 = P2/T2

= 100KPa / T1 = 80KPa / 400

= T1= 500K

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