A 21 L cylinder containing helium gas at a pressure of 47.9 atm is used to fill a weather balloon in order to lift equipment into the stratosphere. To what maximum pressure (in atm) could a 290 L balloon be filled.

Respuesta :

Answer:

3.5 atm

Explanation:

Given data

  • Initial pressure (P₁): 47.9 atm
  • Initial volume (V₁): 21 L
  • Final pressure (P₂): ?
  • Final volume (V₂): 290 L

We can find the maximum pressure that the gas can exert (final pressure) using Boyle´s law.

P₁ × V₁ = P₂ × V₂

P₂ = P₁ × V₁ / V₂

P₂ = 47.9 atm × 21 L / 290 L

P₂ = 3.5 atm

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