Respuesta :

Answer:

The value of equilibrium constant for given reaction will be 28.18.

Explanation:

[tex]H_2 (g) + I_2(g)\rightleftharpoons 2 HI (g)[/tex]

The value of equilibrium constant = K = 794

The expression of an equilibrium will be given by ;

[tex]K=\frac{[HI]^2}{[H_2][I_2]}[/tex]

[tex]\frac{1}{2}H_2 (g) + \frac{1}{2}I_2(g)\rightleftharpoons HI(g)[/tex]

The value of equilibrium constant for above reaction= K' = ?

The expression of an equilibrium will be given by ;

[tex]K'=\frac{[HI]}{[H_2]^{\frac{1}{2}}[I_2]^{\frac{1}{2}}}[/tex]

Squaring both sides:

[tex]K'^2=\frac{[HI]^2}{[H_2][I_2]}[/tex]

[tex]K'^2=K=794[/tex]

[tex]K'=\sqrt{794}=28.18[/tex]

The value of equilibrium constant for given reaction will be 28.18.