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6 October, 21:48

A gas mixture is made by combining 5.4 g each of Ar, Ne, and an unknown diatomic gas. At STP, the mixture occupies a volume of 69.03 L. What is the molar mass of the unknown gas

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  1. 6 October, 23:03
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    The unknown gas is H2

    Explanation:

    Step 1: Data given

    A mixture contains:

    5.4 grams of Ar

    5.4 grams of Ne

    5.4 grams of X2

    Molar mass of Ar = 39.95 g/mol

    Molar mass of Ne = 20.18 g/mol

    Step 2: Calculate moles of gases

    . Moles of Ne = 4.5grams / 20.18 g/mol = 0.223 moles

    Moles of Ar = 4.5 grams / 39.95 g/mol = 0.113 moles

    Step 3: Calculate volume of gases

    Volume of Ne = 22.4 * 0.223 = 5

    Volume of Ar = 22.4 * 0.1525 = 2.53 L

    Volume of unknown gas = 69.03 - 5 - 2.53 = 61.5 L

    Step 4: Calculate moles of unknown gas

    Moles of unkown gas = 61.5/22.4 = 2.75 moles

    Step 5: Calculate molar mass of unknown gas

    Molar mass = mass / moles

    Molar mass = 5.4 grams / 2.75 moles ≈ 2 g/mol

    The unknown gas is H2
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