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16 May, 00:03

How many total atoms are in 0.240 g of P2O5?

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  1. 16 May, 00:18
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    The answer is 1.02 * 10²⁵ atoms.

    1. Calculate molar mass (Mr) of P2O5 which is the sum of atomic masses (Ar) of its elements:

    Ar (P) = 31 g/mol

    Ar (O) = 16

    Mr (P2O5) = 2 * Ar (P) + 5 * Ar (O) = 2 * 31 + 5 * 16 = 62 + 80 = 142 g/mol

    2. Calculate number of moles (n) which is the quotient of a sample mass (m) and the molar mass (Mr):

    n = m/Mr

    m = 0.240 g

    Mr = 142 g/mol

    n = 0.240 / 142 = 0.0017 mol

    3. Avogadro's number is the number of units atoms in 1 mole of substance:

    6.023 * 10²³ atoms per 1 mol

    x atoms are per 0.0017 mol

    6.023 * 10²³ atoms : 1 mol = x atoms : 0.0017 mol

    x = 6.023 * 10²³ atoms * 0.0017 mol : 1 mol

    x = 0.0102 * 10²³ = 1.02 * 10² * 10²³ = 1.02 * 10²⁵ atoms
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