Solving applications of Boyle’s law

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

Initial volume = h*pi*r^2. Diameter is 2.1 cm. Radius is 2.1/2=1.05 cm. Height is 8.4cm. Initial volume is 29.095cm^3. 1000 cm^3=1liter. Boyles' law PV=k (from ideal gas law PV=nRT). Initial pressure is 15.6 atm. Final pressure is 1 atm. Final volume = 29.095*15.6/1000=0.454 liters