The formula PV = mRT is fine for general usage when it is assumed that ideal gas laws are obeyed where P and T are on the absolute scale, and that either one or other, pressure, mass, temperature or volume are known. But in practice compressed air obeys it's own set of gas laws that deviate from the ideal, so that isothermal, isotropic, isenthalpic and adiabatic assumptions are not reliable.
In my case I am trying to estimate the temperature and pressure of air remaining in a portable cylinder (in breathing apparatus) immediately after some air has been removed; and then to assess what effect the progressive fall in temperature has on the water vapour content of the air remain in the cylinder, and also in the air in the pipe fed to the facemask at 10 bar(a) - which is then dropped by the demand valve to atmospheric pressure in the mask itself [say 1 bar(a)]
For example: The cylinder has an actual water volume of 6 litres and is filled with dry air at 300 bar absolute. The air is dry to the extent that it's dewpoint at pressure is +12C, and the cylinder temperature is in equilibrium with the ambient air at the time of use. The air is breathed at a nominal rate of 40 litres per minute at 1 bar absolute. So after 1 minute 40 litres of air will have been used. Which from PV=mRT the new pressure will be 293.33 bar - but that is if T was constant.
Temperature falls slightly, which I assume is adiabatically (in the instant the air is used but possibly warmed by transfer of heat from ambient air between breaths). But for the purpose and the exercise let us assume there is no heat transfer - what is likely to be the pressure and temperature of the air remaining in the cylinder.
I am having trouble choosing the right combination of gas formulas. In my case I always seem to end up with results that depend on assumptions about temperature or pressure. That is, I need to specify (guess) T order to calculate pressure or vice versa. Whereas I believe that P and T will be a function of actual usage rather than from an arbitrarily assigned value.
Can anyone help please.
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