Question

A gas storage cylinder in an ordinary chemical laboratory measures 6.6cm wide and 26.Cm high. This is the label on it. N2 gas Pressure: 14.9atm 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

Answer:The final volume of nitrogen gas will be 13 L. Nitrogen gas was collected in the plastic bag.

Explanation:

Volume of the storage cylinder:

Volume of the cylinder = $\pi r^2h$

Diameter of the cylinder (d)= 6.6 cm

So, radius of the cylinder $=\frac{d}{2}=\frac{6.6}{2}=3.3cm$

Height of the cylinder = 26 cm

Volume of the cylinder=$=V_1=\pi r^2h=3.14\times (3.3cm)^2\times 26cm=889.05 cm^3=889.05\times 10{-3} L(1cm^3=10^{-3}L)$

Pressure of the $N_2$ gas in a cylinder =$P_1= 14.9 atm$

The cylinder is opened and the gas allowed to escape into a large empty plastic bag. So, now the value of the pressure$P_2$ will become equal to atmospheric pressure that 1 atm .

Volume of $N_2$ gas in plastic bag $V_2$ will be given by the expression of Boyle's law

$P_1V_1=P_2V_2$

On substituting the values:

$14.9\times 889.05\times 10^{-3} L= 1atm \times V_2=$

$V_2=13.24 L$

The final volume of nitrogen gas will be 13.24 L when rounded of to two significant figures will be 13 L. Nitrogen gas was collected in the plastic bag.