Question

A small cylinder of helium gas used for filling balloons has a volume of 2.20 L and a pressure of 14300 kPa at 25 ∘C. Part A How many balloons can you fill if each one has a volume of 1.20 L and a pressure of 1.22 atm at 25 ∘C?

Answer 1

Answer:

You can fill 212 balloons.

Explanation:

First we calculate the helium moles in the small cylinder, using PV=nRT:

• P =  14300 kPa ⇒ 14300 * 0.009869 = 141.13 atm

• V = 2.20 L

• n = ?

• R = 0.082 atm·L·mol⁻¹·K⁻¹

• T = 25 °C ⇒ 25 + 273.16 = 298.16 K

141.13 atm * 2.20 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 298.16 K

• n = 12.70 mol

Then we calculate the number of moles that can fit in a single balloon:

• 1.22 atm * 1.20 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 298.16 K

• n = 0.0599 mol

Finally we divide the total number of available moles by the number of moles in a single balloon:

• 12.70 mol / 0.0599 mol = 212.09

So the answer is that you can fill 212 balloons.