boyle's law Aleks question

Question

A gas storage cylinder in an ordinary chemical laboratory measures 5.6 cm wide and 22. cm high. This is the label on it. Contents: N2 gas Pressure: 25.2 atm 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 significant digits.

Answer 1

Find the volume of the gas cylinder:

V = π r² h = (3.1416)(2.8 cm)²(22 cm) = 542 cm³ = 0.542 L

So we now have the initial volume (0.542 L) and the initial pressure (25.2 atm)

Assuming the temperature in the bag and the room and the cylinder are the same, we have constant temp. We can then use Boyles Law P1V1 = P2V2

(25.2 atm)(0.542 L) = (1 atm)(V2) this assumes standard conditions so I set P2 = 1 atm

V2 = volume of plastic bag + cylinder = 13.7 L