Question

A gas storage cylinder in an ordinary chemical laboratory measures 4.4 cm wide and 17.cm high. This is the label on it.

A gas storage cylinder in an ordinary chemical laboratory measures 4.3 cm wide and 17.cm high. This is the label on it. Contents: N_2 gas Pressure: 29.8 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 ga, including wht'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. X 10

Contents: N2 gas

Pressure: 29.8 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 2 significant digits.

Answer 1

At constant temperature, assuming equal number of moles,

P₁V₁ = P₂V₂

Therefore,

V₂ = V₁ x (P₁ / P₂)

Here,

P₂ = atmospheric pressure = 1 atm

V₂ = volume bag + volume gas left over in cylinder.

Also we have,

V = $\pi$ r²h

Here, Diameter of cylinder = 4.4 cm

Therefore, radius =4.4/2 = 2.2 cm

h =17 cm

Therefore,

V₂ = 3.1415 x (2.2)² x 17 x (1L/1000 cm³) x (29.8/1 atm) = 7.7 L