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2 May, 10:22

What is the partial pressure of carbon dioxide in a container that contains 3.63 mol of oxygen, 1.49 mol of nitrogen, and 4.49 mol of carbon dioxide when the total pressure is 871 mmHg?

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Answers (2)
  1. 2 May, 10:43
    0
    Partial pressure of CO₂ is 406.9 mmHg

    Explanation:

    To solve the question we should apply the concept of the mole fraction.

    Mole fraction = Moles of gas / Total moles

    We have the total moles of the mixture, if we have the moles for each gas inside. (3.63 moles of O₂, 1.49 moles of N₂ and 4.49 moles of CO₂)

    Total moles = 3.63 mol O₂ + 1.49 mol N₂ + 4.49 mol CO₂ = 9.61 moles

    To determiine the partial pressure of CO₂ we apply

    Mole fraction of CO₂ → mol of CO₂ / Total moles = P. pressure CO₂ / Total P

    Partial pressure of CO₂ = (mol of CO₂ / Total moles). Total pressure

    We replace values: (4.49 moles / 9.61 moles). 871 mmHg = 406.9 mmHg
  2. 2 May, 10:47
    0
    Partial pressure O2 = 329 mmHg

    Partial pressure N2 = 135 mmHg

    Partial pressure CO2 = 407 mmHg

    Explanation:

    Step 1: Data given

    Number of moles oxygen (O2) = 3.63 moles

    Number of moles nitrogen (N2) = 1.49 moles

    Number of moles carbon dioxide (CO2) = 4.49 moles

    Total pressure = 871 mmHg

    Step 2: Calculate total number of moles

    Total moles = moles O2 + moles N2 + moles CO2

    Total moles = 3.63 + 1.49 + 4.49

    Total moles = 9.61 moles

    Step 3: Calculate the mol ratio

    Mol ratio number of moles compound / total moles

    Mol ratio O2 = 3.63 moles / 9.61 moles

    Mol ratio O2 = 0.378

    Mol ratio N2 = 1.49 moles / 9.61 moles

    Mol ratio N2 = 0.155

    Mol ratio CO2 = 4.49 moles / 9.61 moles

    Mol ratio CO2 = 0.467

    Step 4: Calculate partial pressure

    Partial pressure = mol ratio * total pressure

    Partial pressure O2 = 0.378 * 871 mmHg

    Partial pressure O2 = 329 mmHg

    Partial pressure N2 = 0.155 * 871mmHg

    Partial pressure N2 = 135 mmHg

    Partial pressure CO2 = 0.467 * 871 mmHg

    Partial pressure CO2 = 407 mmHg
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