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31 July, 01:18

How many oxygen atoms are there in 582 grams of caffeine (CH10N402, 194 g/mol) ? Avogadro's Number: 1 mole = 6.02 x 1023 species A. 2 B. 6 C. 1.81 x 1024 D. 3.61 x 1024 F None of the above

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  1. 31 July, 01:33
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    3.61 * 10 ²⁴atoms.

    Explanation:

    Moles is denoted by given mass divided by the molecular mass,

    Hence,

    n = w / m

    n = moles,

    w = given mass,

    m = molecular mass.

    From the question,

    w = 582 g

    m = 194 g/mol

    The number of moles can be calculated from the above formula, and substituting the respective values,

    n = w / m = 582 g / 194 g/mol = 3 mol

    In the molecular formula of caffeine,

    In 1 mole of caffeine their are - 2 moles of Oxygen.

    Therefore, in 3 moles of Caffeine there will be 6 moles of oxygen.

    As well know,

    one mole of any substance contains 6.023*10²³ atoms,

    Therefore, in 6 mol of oxygen = 6 * 6.023*10²³ atoms = 3.61 * 10 ²⁴atoms.
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