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The pressure gauge on a cylinder of gas registers the gauge pressure, which is t

ID: 2125558 • Letter: T

Question

The pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference between the interior pressure and the exterior pressure P0. Let's call the gauge pressure Pg. When the cylinder is full, the mass of the gas in it is mi at a gauge pressure of Pgi. Assuming the temperature of the cylinder remains constant, show that the mass of the gas remaining in the cylinder when the pressure reading is Pgf is given by

The pressure gauge on a cylinder of gas registers the gauge pressure, which is the difference between the interior pressure and the exterior pressure P0. Let's call the gauge pressure Pg. When the cylinder is full, the mass of the gas in it is mi at a gauge pressure of Pgi. Assuming the temperature of the cylinder remains constant, show that the mass of the gas remaining in the cylinder when the pressure reading is Pgf is given by

Explanation / Answer

Pgf is given by Mf= (Pgf + Po)/(Pgi + Po) Mf = mi*[Pgf+Po]/[Pgi+Po] forgot to multiply by mi.
answer is dimensionless.
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