Answer:
901.52 minutes
Step-by-step explanation:
To do this, we need to assume that the temperature is constant in all the process here. If this is true, then we can also assume that this is a case of an isothermal expansion, therefore, the expression to use is the following:
P1V1 = P2V2
Let P2 the atmospherical pressure, and V2 would be the remaining volume of the oxygen. The atmospherical pressure reported is 1 atm or 101.3 kPa
Solving for V2 in this expression we have the following:
13,800 * 14 / 101.3 = 1907.21 L
As this is a low pressure gas, part of it's volume will remain in the cylinder, so, we have to substract these 14 L to V2 to get the real volume of the remaining gas:
1907.21 - 14 = 1893.21 L
And we have now the flux which is 2.1 L/min, so:
t = V/F
t = 1893.21 / 2.1
t = 901.52 min.