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24 December, 10:29

The mineral greenockite is a yellow sulfide of cadmium that is 78.0% cadmium and 22.0% sulfur. Determine the empirical formula of greenockite.

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  1. 24 December, 12:11
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    CdS

    Explanation:

    We are given;

    % of cadmium is 78% % of sulfur is 22.0%

    We are required to determine the empirical formula of cadmium sulfide

    Step 1 : Determine the number of moles of Cadmium and sulfur

    Assuming the mass of the cadmium sulfide is 100 g

    Mass of cadmium is 78 g

    Mass of sulfur is 22 g

    But;

    Moles = Mass : Molar mass

    Molar mass of Cadmium = 112.411 g/mol

    Moles of Cadmium = 78 g : 112.411 g/mol

    = 0.694 moles

    = 0.69 moles

    Molar mass of sulfur is 32.065 g/mol

    Moles of sulfur = 22 g : 32.065 g/mol

    = 0.686 moles

    = 0.69 moles

    Step 3: Determine the whole number mole ratio of Cadmium to sulfur

    Cadmium : Sulfur

    Cd : S

    0.69 moles : 0.69 moles

    0.69/0.69 : 0.69/0.69

    1 : 1

    Therefore, the empirical formula of greenockite is CdS
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