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13 votes
13 votes
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?​

User Josep
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2 Answers

14 votes
14 votes

Answer:

24 atm

Step-by-step 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
User Jmbeck
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2.7k points
29 votes
29 votes

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
User Slickelito
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3.2k points