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.

Question

Chemistry

Brylee

14 October, 16:07

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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Answers (1)

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Abbigail Rasmussen · Answer 1

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