Question

A balloon with a volume of 38.2 L at 91 psi is allowed to expand into a larger can with a total volume of 77.4 L. What is the pressure in psi of the gas in the larger container?

Answer 1

• 45 psi

Step-by-step explanation:

1) Data:

a) V₁ = 38.2 liter

b) P₁ = 91 psi

c) V₂ = 77.4 liter

d) P₂ = ?

2) Formula:

According to Boyle's law, at constant temperature, the pressure and volume of a fixed amount of gas are inversely related:

• PV = constant ⇒P₁V₁ = P₂V₂

3) Solution:

• Solve for the unknown: P₂ = P₁V₁ /v₂

• Substitute the values: V₂ = 91 psi × 38.2 liter / 77.4 liter = 44.9 9si ≈ 45 psi.