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There is a mixture of three gases. We know the total pressure is 2.50 atmosphere and the pressure of the oxygen and the nitrogen in the mixture are 0.52 atmosphere and 0.84 atmosphere. The jar containing the gases has a volume of 25.0 liters and is at a temperature of 32 degrees Celsius. What are the pressure and the number of moles of carbon dioxide in the container?

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Answer:

1.14 atm and 1.139 mol

Explanation:

The total pressure of the container is equal to the sum of the partial pressure of the three gasses:

  • P = Poxygen + Pnitrogen + Pcarbon dioxide
  • 2.50 atm = 0.52 + 0.84 + Pcarbon dioxide

Now we solve for the pressure of carbon dioxide:

  • Pcarbon dioxide = 1.14 atm

To calculate the number of CO₂ moles we use PV=nRT:

  • P = 1.14 atm
  • V = 25.0 L
  • n = ?
  • R = 0.082 atm·L·mol⁻¹·K⁻¹
  • T = 32 °C ⇒ 32 + 273.16 = 305.16 K

1.14 atm * 25.0 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 305.16 K

  • n = 1.139 mol

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