How Long it Will Take to Pass Hydrogen Molecules Through a Capillary Tube?

Question:
How long it will take to pass 200 mL of H2 at 273 K through a 10-cm-long capillary tube of 0.25 mm radius if the gas input and output pressures are 1.05 and 1.00 atm?

Solution:
Volume flux in one dimension (labeled by z) through a tube with radius a, due to the pressure gradient is given by,

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