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Atmospheric pressure on the peak of Kilimanjaro can be as low as 0.20 atm. If the volume of an oxygen tank is 10.0L, at what pressure must the tank be filled so the gas inside would occupy a volume of 1.2 x 1043 L at this pressure?​

Respuesta :

Answer:

24 atm

Explanation:

From Boyle's Law :

  • P₁V₁ = P₂V₂

Given values :

  • P₂ = 0.2 atm
  • V₁ = 10.0 L
  • V₂ = 1.2 x 10³ L

Solving

  • P₁ × 10 = 0.2 × 1.2 × 10³
  • P₁ = 0.24 x 10²
  • P₁ = 24 atm

New volume

  • 1.2×10⁴³

So apply Boyles law

  • P1V1=P2V2
  • 0.2(10)=P2(1.2×10⁴³)
  • 20=P2(1.2×10⁴³)
  • P2=1.2×10⁴³/20
  • P2=0.6×10⁴²
  • P2=6×10⁴¹atm