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25 September, 16:37

A 0.500 g sample of He at STP has a volume that is one-half that of an unknown pure gas also at STP. The unknown pure gas sample has a mass of 36.5 g. What is the molar mass of the unknown gas?

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  1. 25 September, 17:08
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    Molar mass of the unknown gas: 146 g / mol

    Explanation:

    At STP, any "ideal" gas is contained in a volume of 22.4L. This situation, for 1 mol of gas. In this case we have:

    0.5 g / 4 g/mol = 0.125 moles of He

    These amount of He occupies 0.125 mol. 22.4L / 1 mol = 2.8 L so the double of volume will be occupied by the unkown gas.

    22.4 L / 1 mol = (2.8 L. 2) / x moles

    22.4L / 1 mol = 5.6 L / x mol

    x mol = 5.6L / 22.4L → 0.25 moles

    To determine the molar mass of the unknown gas → 36.5 g / 0.25 mol = 146 g / mol
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