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8 June, 20:12

Calculate the molar mass of the noble gas krypton in a natural sample, which is 0.83% 78Kr (molar mass 77.92 g/mol), 1.75% 80Kr (molar mass 79.91 g/mol), 11.13% 82Kr (molar mass 81.91 g/mol), 12.09% 83Kr (molar mass 82.92 g/mol), 56.82% 84Kr (molar mass 83.91 g/mol), and 17.38% 86Kr (molar mass 85.91 g/mol). Answer in units of g/mol.

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  1. 8 June, 20:33
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    The molar mass of the noble gass krypton is 83.795592 ≈ 83.80 g/mol

    Explanation:

    Step 1: Data given

    krypton in a natural sample:

    ⇒ 0.83% 78Kr (molar mass 77.92 g/mol)

    ⇒ 1.75% 80Kr (molar mass 79.91 g/mol)

    ⇒ 11.13% 82Kr (molar mass 81.91 g/mol)

    ⇒ 12.09% 83Kr (molar mass 82.92 g/mol)

    ⇒ 56.82% 84Kr (molar mass 83.91 g/mol)

    ⇒ 17.38% 86Kr (molar mass 85.91 g/mol)

    Step 2: Calculate molar mass

    Molar mass = 0.0083 * 77.92 + 0.0175 * 79.91 + 0.1113*81.91 + 0.1209*82.92 + 0.5682*83.91 + 0.1738*85.91

    Molar mass = 0.646736 + 1.398425 + 9.116583 + 10.025028‬ + 47.677662 + 14.931158 = 83.795592

    The molar mass of the noble gass krypton is 83.795592 ≈ 83.80 g/mol
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