Question

A gas storage cylinder in an ordinary chemical laboratory measures 4.0cm wide and 16.cm high.This is the label on it. Contents: N2 gas Pressure: 27.1atm If the cylinder is opened and the gas allowed to escape into a large empty plastic bag, what will be the final volume of nitrogen gas, including what's collected in the plastic bag and what's left over in the cylinder? Write your answer in liters. Round your answer to 2 significant digits.

Answer 1

starting with this equation...
P1V1 / (n1T1) = P2V2 / (n2T2)

rearranging for V2...
V2 = V1 x (P1 / P2) x (T2 / T1) x (n2 / n1)

Let's assume that n and T are constant so:
V2 = V1 x (P1 / P2)

where...
P2 = atmospherice pressure = 1 atm
V2 = volume bag + volume gas left over in cylinder.
diameter of cylinder = 3.4 cm
height of cylinder = 14 cm

Now V1 is the volume of the cylinder, so:

V1 = 3.1416 * (2²) * 16 = 201.06 cm³ = 201.06 mL * 1 L / 1000 mL = 0.2011 L

Now V2:

V2 = 0.2011 * 27.1/1 = 5.45 L

Hope this helps