How do you calculate BTU of expanding compressed air

AI Thread Summary
The cooling effect from the release of compressed air through a nozzle can be quantified in BTUs, with the relationship to PSI established through calculations. Specifically, 1 PSI m³ is equivalent to approximately 6.535 BTU. This conversion is derived from the definitions of PSI as a pressure unit and BTU as a measure of energy. Understanding this relationship is crucial for applications involving compressed air systems. Accurate calculations can help in optimizing energy use and cooling effects in various industrial processes.
riderb
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I would like to know if there is a measure, in BTU's, of the cooling effect from the release of compressed air through a nozzle and how it relates to PSI
 
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riderb said:
I would like to know if there is a measure, in BTU's, of the cooling effect from the release of compressed air through a nozzle and how it relates to PSI

BTU is the unit of energy and PSI is the unit of pressure. 1 PSI = 6894.757 N/m2

I BTU = 1055 Nm

Now multiply the unit PSI by m3 i.e volume SI unit you get 1 PSI m3 = 6894.757 Nm

1 BTU = 1055 Nm

So 6894.757 Nm = 6.535 BTU
So 1 PSI m3 = 6.535 BTU
 
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