The equilibrium constant for the reaction shown below is Kc=0.0091. If the equilibrium concentrations of A and B are 0.031 M and 0.0823 M, respectively, what is the equilibrium concentration of C?

Respuesta :

Answer:

[tex][C]=0.0221M[/tex]

Explanation:

Hello there!

In this case, according to the given chemical reaction at equilibrium:

[tex]3A\rightleftharpoons 3B+2C[/tex]

It is possible for us to set up the equilibrium expression as shown below:

[tex]Kc=\frac{[B]^3[C]^2}{[A]^3}[/tex]

Whereas Kc, [A] and [B] are known as 0.0091, 0.031M and 0.0823M and it is required to calculate [C]; thus, we solve for it as follows:

[tex][C]^2=\frac{[A]^3Kc}{B]^3}[/tex]

[tex][C]=\sqrt{\frac{(0.031)^3*0.0091}{(0.0823)^3}}[/tex]

[tex][C]=0.0221M[/tex]

Best regards!