High School

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

Answer :

Answer:

  • 45 psi

Explanation:

1) Data:

a) V₁ = 38.2 liter

b) P₁ = 91 psi

c) Vâ‚‚ = 77.4 liter

d) Pâ‚‚ = ?

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 = Pâ‚‚Vâ‚‚

3) Solution:

  • Solve for the unknown: Pâ‚‚ = P₁V₁ /vâ‚‚

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

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Rewritten by : Jeany