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18 November, 14:11

Consider the following reaction: COCl2 (g) ⇌ CO (g) + Cl2 (g) A reaction mixture initially contains 1.6 M COCl2. Determine the equilibrium concentration of CO if Kc for the reaction at this temperature is 8.33 * 10-4 (Hint: Note the size of Kc).

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  1. 18 November, 14:28
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    The equilibrium concentration of CO is 0.0361 M

    Explanation:

    Step 1: Data given

    Kc = 8.33 * 10^-4

    Molarity of COCl2 = 1.6 M

    Step 2: The balanced equation:

    COCl2 (g) ⇌ CO (g) + Cl2 (g)

    Step 3: Calculate final concentrations

    The initial concentration of COCl2 = 1.6M

    The initial concentration of CO and Cl2 = 0M

    There will react xM of COCl2

    Since the mole ratio is 1:1

    The final concentration of CO and Cl2 will be X M

    The final concentration of COCl2 will be (1.6 - X) M

    Step 4: Define Kc

    Kc = [CO] * [Cl2] / [COCl2] = 8.33*10^-4

    Kc = X*X / 1.6-X = 8.33 * 10^-4

    8.33 * 10^-4 = X² / (1.6-X)

    8.33 * 10^-4 * (1.6 - X) = X²

    0.0013328 - 8.33*10^-4 X = X²

    X² + 8.33*10^-4 X - 0.0013328 = 0

    X = 0.0361 M = [CO] = [Cl2]

    [COCl2] = 1.6 - 0.0361 = 1.5639 M

    To control this we can calculate the Kc

    (0.0361*0.0361) / 1.5639 = 0.000833
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