Question

Imagine that you fill a balloon at sea level (1.0 atm) with 18 L of air. You are taking the balloon to Denver, Colorado, for a birthday party. Colorado is the “Mile High State,” and Denver has an air pressure of 0.85 atm. When you get to the party, what will the volume of the balloon be?

Answer 1

21.18 L

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial pressure (P₁) = 1 atm

Initial volume (V₁) = 18 L

Final pressure (P₂) = 0.85 atm

Final Volume (V₂) =?

With the application of the Boyle's law equation, we can obtain the final volume (i.e the new volume) of the gas as follow:

P₁V₁ = P₂V₂

1 × 18 = 0.85 × V₂

18 = 0.85 × V₂

Divide both side by 0.85

V₂ = 18 / 0.85

V₂ = 21.18 L

Therefore, the new volume of the gas will be 21.18 L