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9 August, 12:27

What will the concentration of PCl5 be when equilibrium is reestablished after addition of 1.31 g Cl2? PCl5 (g) ⇆ PCl3 (g) + Cl2 (g) Original Equilibrium Mixture: 3.42 g PCl5 4.86 g PCl3 3.59 g Cl2 in a 1.00-L flask.

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  1. 9 August, 14:15
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    The new concentration of PCl5 will be 0.01953 M

    Explanation:

    Step 1: Data given

    Mass of Cl2 added = 1.31 grams

    Molar mass Cl2 = 70.9 g/mol

    Original Equilibrium Mixture:

    3.42 g PCl5

    4.86 g PCl3

    3.59 g Cl2

    Volume = 1.0 L

    Step 2: The balanced equation

    PCl5 (g) ⇆ PCl3 (g) + Cl2 (g)

    Step 3: Calculate the original moles and molarity

    Moles = mass / molar mass

    Moles PCL5 = 3.42 grams / 208.24 g/mol

    Moles PCl5 = 0.0164 moles

    [PCl5] = 0.0164 M

    moles PCl3 = 4.86 grams / 137.33 g/mol

    moles PCl3 = 0.0354 moles

    [PCl3] = 0.0354 M

    moles Cl2 = 3.59 grams / 70.9 g/mol

    moles Cl2 = 0.0506 moles

    [Cl2] = 0.0506 M

    the new mass Cl2 = 3.59 + 1.31 = 4.9 grams

    moles Cl2 = 0.0691 moles

    [Cl2] = 0.0691 M

    The new concentration at the equilibrium

    [PCl5] = 0.0164 + X M

    [PCl3 ] = 0.0354 - X M

    [Cl2] = 0.0691 - X M

    Step 4: Calculate Kc

    Kc = [Cl2][PCl3] / [PCl5]

    Kc = (0.0506*0.0354) / 0.0164

    Kc = 0.109

    Step 5: Calculate [PCl5]

    Kc = 0.109 = ((0.0691 - X) (0.0354 - X)) / (0.0164 + X)

    X = 0.00313

    [PCl5] = 0.0164 + 0.00313 M = 0.01953 M

    [PCl3 ] = 0.0354 - 0.00313 M = 0.03227 M

    [Cl2] = 0.0691 - 0.00313 M = 0.06597

    The new concentration of PCl5 will be 0.01953 M
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