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20 December, 07:22

What is the mass, in grams, of a sample of 1.72 * 1023 atoms of potassium (K) ? Show your work or explain the steps that you used to determine your answer.

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  1. 20 December, 08:18
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    According to the Avogadro's Constant, 1 mole of substance has 6.02214086 * 10²³ (Unit is mol⁻¹) particles.

    This means, 1 mole = 6.02214086 * 10²³ molecules / atoms

    Given K atoms = 1.72 x 10²³

    Moles of K = 1.72 x 10²³ / 6.02214086 * 10²³ mol⁻¹

    = 0.286 mol

    Moles (mol) = mass (g) / molar mass (g/mol)

    Molar mass of K = 39.1 g/mol

    Mass of K = 0.286 mol x 39.1 g/mol

    = 11.18 g

    Hence, 1.72 x 10²³ of K atoms have 11.18 g of mass.
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