Before any reaction occurs, the concentrations of A and B in the reaction below are each 0.03900 M . What is the equilibrium constant if the concentration of A at equilibrium is 0.01365 M ? 2A(aq)+B(aq)⇌2C(aq) Round your answer to one decimal place.

Answer :

Explanation:

As the given reaction is as follows.

          [tex]2A(aq) + B(aq) \rightleftharpoons 2C(aq)[/tex]

Initial:    0.039         0.039                0

Equilbm: 0.01365   0.02535         0.02535

Now, expression for [tex]K_{c}[/tex] of the given reaction is as follows.

            [tex]K_{c} = \frac{[C]^{2}}{[A]^{2}[B]}[/tex]

Putting the given values into the above formula as follows.

             [tex]K_{c} = \frac{[C]^{2}}{[A]^{2}[B]}[/tex]

           [tex]K_{c} = \frac{(0.02535)^{2}}{(0.01365)^{2} \times (0.02535)}[/tex]

                      = [tex]1.360 \times 10^{2}[/tex]

                      = 136

Thus, we can conclude that the equilibrium constant for the given reaction is 136.

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