In: Chemistry
A mixture initially contains A, B, and C in the following concentrations: [A] = 0.700 M , [B] = 0.700 M , and [C] = 0.550 M . The following reaction occurs and equilibrium is established: A+2B⇌C At equilibrium, [A] = 0.540 M and [C] = 0.710 M . Calculate the value of the equilibrium constant, Kc.
A + 2B <-------------> C
0.7 0.7 0.55 ----------------> initial
0.7 - x 0.7 - 2x 0.55 + x ------------> equilibrium
At equilibrium :
[A] = 0.7 - x = 0.540
x = 0.160
[B] = 0.7 - 2x = 0.7 - 2 x 0.16
[B] = 0.38 M
Kc = [C] / [A][B]^2
= 0.710 / 0.540 x 0.38^2
= 9.11
equilibrium constant, Kc = 9.11