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12 February, 16:15

What is a the partial pressure of helium gas in a closed system containing 0.775 mol of helium gas, 1.12 mol of methane gas, and 0.592 mol of hydrogen gas?

The system containing the three gases has a total pressure of 1.50 atm.

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  1. 12 February, 18:04
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    0.467 atm

    Explanation:

    Step 1: Calculate the total number of moles

    The total number of moles is equal to the sum of number the moles of each gas.

    n = nHe + nCH₄ + nH₂

    n = 0.775 mol + 1.12 mol + 0.592 mol = 2.49 mol

    Step 2: Calculate the mole fraction of He

    χHe = nHe / n

    χHe = 0.775 mol / 2.49 mol

    χHe = 0.311

    Step 3: Calculate the partial pressure of He

    We can use the following expression.

    pHe = P * χHe

    pHe = 1.50 atm * 0.311

    pHe = 0.467 atm
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