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29 September, 02:02

The vitamin A molecule has the formula C20H30O, and a molecule of vitamin A2 has the formula C20H28O. Determine how many moles of vitamin A2 contain the same number of atoms as 1.000 mol vitamin A.

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  1. 29 September, 03:58
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    1.04 moles of vitamin A2 contain the same number of atoms as 1.000 mol vitamin A

    Explanation:

    Step 1: Data given

    Vitamin A = C20H30O

    Vitamin A2 = C20H28O

    Step 2: Determine the atoms in vitamin A

    Vitamin A has 20 C atoms and 30 H atoms and 1 O-atom

    In total we have 51 atoms in vitamin A

    Step 3: Calculate numbers of atom in 1 mol

    1 mol contains 6.022 * 10^23

    For 51 atoms = 51 * 6.022*10^23 = 306 * 10^23

    Step 4: Determine atoms in vitamin A2

    Vitamin A2 has 20 C atoms and 28 H atoms and 1 O-atom

    In total we have 49 atoms in vitamin A2

    Step 5: Calculate molecules A2

    Molecules A2 = 306 * 10^23 / 49

    molecules A2 = 6.24*10^23

    Step 6: Calculate how many moles of vitamin A2 contain the same number of atoms as 1.000 mol vitamin A.

    n = 6.24*10^23 / 6.022*10^23 = 1.04 mol

    1.04 moles of vitamin A2 contain the same number of atoms as 1.000 mol vitamin A
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