Question

In: Chemistry

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.700M ,...

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.700M , [B] = 0.850M , and [C] = 0.400M . The following reaction occurs and equilibrium is established:

A+2B?C

At equilibrium, [A] = 0.560M and [C] = 0.540M . Calculate the value of the equilibrium constant, Kc.

Solutions

Expert Solution

Kc = [C] / ([A] * [B]2])

As you see, the amount of moles of C formed is 0.140, so, in the following reaction x = 0.140:

                        A      +      2B   --->       C

initial                0.7           0.85             0.4

change             -x             -2x              +x

end (eq)         0.7-x        0.85-2x         0.4+x

final [B] = 0.85 - (2*0.140) = 0.57


Kc = (0.540) / (0.560) * (0.570)2 = 0.540 / 0.182 = 2.97


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