Given the value of the equilibrium constant (Kc) for the equation (a), calculate the equilibrium constant for equation (b)

(a) O2 (g)---->2/3O3(g) Kc=5.77x10^-9

(b) 3O2 (g)----->2O3(g) Kc=?

Respuesta :

Answer: The value of equilibrium constant for new reaction is [tex]1.92\times 10^{-25}[/tex]

Explanation:

The given chemical equation follows:

[tex]O_2(g)\rightarrow \frac{2}{3}O_3(g)+\frac{1}{2}O_2(g)[/tex]  

The equilibrium constant for the above equation is [tex]5.77\times 10^{-9}[/tex]

We need to calculate the equilibrium constant for the equation of 3 times of the above chemical equation, which is:

[tex]3O_2(g)\rightarrow 2O_3(g)[/tex]

The equilibrium constant for this reaction will be the cube of the initial reaction.

If the equation is multiplied by a factor of '3', the equilibrium constant of the new reaction will be the cube of the equilibrium constant of initial reaction.

The value of equilibrium constant for reverse reaction is:

[tex]K_{eq}'=(5.77\times 10^{-9})^3=1.92\times 10^{-25}[/tex]

Hence, the value of equilibrium constant for new reaction is [tex]1.92\times 10^{-25}[/tex]