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A cylinder of anesthetic gas contains a binary mixture of nitrous oxide ( N ₂ O ) and oxygen ( O ₂ ). If the mole fraction of nitrous oxide in the mixture is 0.30 and the total pressure of the cylinder is 5.0 atm , what is the partial pressure of oxygen?

Options

  1. A1.5 atm
  2. B3.5 atm
  3. C4.7 atm
  4. D7.14 atm

Correct answer

B. 3.5 atm

Step-by-step solution

For a binary mixture, the sum of mole fractions is 1 . Mole fraction of O ₂ = 1 - Mole fraction of N ₂ O _ O ₂ = 1 - 0.30 = 0.70 According to Dalton's law of partial pressures: Partial pressure of O ₂ = Total pressure _ O ₂ p_ O ₂ = 5.0 atm 0.70 = 3.5 atm Answer: 3.5 atm

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