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15 May, 19:31

How many grams of titanium (Ti, 47.90 g/mol) are in an instrument gear with 5.74x10^22 atoms of Ti

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  1. 15 May, 19:57
    0
    Mass = 45.64 g

    Solution:

    First of all calculate number of moles for given number of atoms,

    As,

    6.022 * 10²³ atoms = 1 Mole

    So,

    5.74 * 10 ²² atoms = X Moles

    Solving for X,

    X = (1 mol * 5.74 * 10²² atoms) : 6.022 * 10²³ atoms

    X = 0.953 Moles

    Now converting moles into mass,

    As,

    Moles = Mass / M. mass

    So,

    Mass = Moles * M. Mass

    Putting Values,

    Mass = 0.953 mol * 47.90 g. mol⁻¹

    Mass = 45.64 g
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