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22 February, 03:47

A gas mixture contains 1.25 g n2 and 0.85 g o2 in a 1.55 l c ontainer at 18 °c. calculate the mole fraction and partial pressure of each component in the gas mixture.

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  1. 22 February, 03:51
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    Answer: - mole fraction of nitrogen is 0.626 and mole fraction of oxygen is 0.374.

    partial pressure of nitrogen is 0.687 atm and partial pressure of oxygen is 0.410 atm.

    Solution: - Moles of nitrogen = 1.25 g x (1mol/28g) = 0.0446 mol

    moles of oxygen = 0.85 g x (1mol/32g) = 0.0266 mol

    Total moles of gases in the container = 0.0446 + 0.0266 = 0.0712

    mole fraction of a gas = moles of gas/total moles of the gases

    so, mole fraction of nitrogen = 0.0446/0.0712 = 0.626

    mole fraction of oxygen = 0.0266/0.0712 = 0.374

    Volume of the container is 1.55 L and the temperature is 18 degree C that is 18 + 273 = 291 K

    From ideal gas law equation, PV = nRT

    P = nRT/V

    Partial pressure of nitrogen = (0.0446 x 0.0821 x 291) / 1.55 = 0.687 atm

    and the partial pressure of oxygen = (0.0266 x 0.0821 x 291) / 1.55 = 0.410 atm
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