Answer: [tex]K_p[/tex] is 37928.
Explanation:
Equilibrium constant is the ratio of the concentration of products to the concentration of reactants each term raised to its stochiometric coefficients.
The given balanced equilibrium reaction is,
[tex]N_2(g)+3H_2(g)\rightarrow 2NH_3(g)[/tex]
at t= 0 0.866 atm 0.0496 atm 0 atm
At eqm. conc. (0.866-x) atm (0.0496-3x) atm 2x atm
The expression for equilibrium constant for this reaction will be,
[tex]K_p=\frac{[p_{NH_3}]^2}{p_{N_2}\times [p_{H_2}]^3}[/tex]
given : 2x = 0.0310
x= 0.0155
Now put all the given values in this expression, we get :
[tex]K_p=\frac{[2x]^2}{(0.866-x)\times (0.0496-3x)^3}[/tex]
[tex]K_p=37928[/tex]