Question

A gas storage cylinder in an ordinary chemical laboratory measures 2.1 cm wide and 8.4 cm high with this label on it:


Contents: N2 Gas

Pressure 15.6 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.

Answer 1

Answer:

The final volume of nitrogen is 58.18 cm³.

Explanation:

Given that,

Wide = 2.1 cm

Height = 8.4 cm

Pressure = 15.6 atm

If the volume of plastic bag = V

The volume of left over in the cylinder = V'

We need to calculate the final volume of nitrogen gas

The final volume of nitrogen including plastic bag and left over in cylinder which is

$V'' = V+V'$

$V+V'=2\pi r^2h$

Put the value into the formula

$V+V''=2\times\pi\times(2.1)^2\times8.4$

$V+V''=58.18\ cm^3$

Hence, The final volume of nitrogen is 58.18 cm³.