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20 July, 15:57

A sample of C3H8 has 6.72 x 10^24 H atoms.

What is the total mass of the sample?

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  1. 20 July, 16:25
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    The answer is 492.8 g

    1. Calculate a number of moles of a sample.

    2. Calculate a molar mass of C3H8.

    3. Calculate a mass of the sample.

    1. Avogadro's number is the number of units (atoms, molecules) in 1 mole of substance: 6.023 * 10²³ units per 1 mole

    6.023 * 10²³ atoms : 1 mol = 6.72 * 10²⁴ atoms : n

    n = 6.72 * 10²⁴ atoms * 1 mol : 6.023 * 10²³ atoms = 1.12 * 10 mol = 11.2 mol

    2. Molar mass (Mr) of C3H8 is sum of atomic masses (Ar) of its elements:

    Ar (C) = 12 g/mol

    Ar (H) = 1 g/mol

    Mr (C3H8) = 3 * Ar (C) + 8 * Ar (H) = 3 * 12 + 8 * 1 = 36 + 8 = 44 g/mol

    3. Mass (m) of a sample is number of moles (n) multiplied by molar mass (Mr) of C3H8:

    m = n * Mr = 11.2 mol * 44 g/mol = 492.8 g
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