Answer : The value of [tex]K_{eq}[/tex] for the given reaction is, 0.252
Explanation : Given,
Concentration of [tex]NH_3[/tex] = 0.250 M
Concentration of [tex]N_2[/tex] = 0.590 M
Concentration of [tex]H_2[/tex] = 0.750 M
The given balanced equilibrium reaction is,
[tex]N_2(g)+3H_2(g)\rightleftharpoons 2NH_3(g)[/tex]
The expression for equilibrium constant for this reaction will be,
[tex]K_{eq}=\frac{[NH_3]^2}{[N_2][H_2]^3}[/tex]
Now put all the given values in this expression, we get the value of [tex]K_{eq}[/tex]
[tex]K_{eq}=\frac{(0.25)^2}{(0.59)\times (0.75)^3}[/tex]
[tex]K_{eq}=0.252[/tex]
Therefore, the value of [tex]K_{eq}[/tex] for the given reaction is, 0.252