Ammonia decomposes to form nitrogen and hydrogen, like this: [tex]2NH_3(g) \rightarrow N_2(g)+3H_2(g)[/tex]Also, a chemist finds that at a certain temperature the equilibrium mixture of ammonia, nitrogen, and hydrogen has the following composition: compound pressure at equilibrium. Calculate the value of the equilibrium constant for this reaction.

Respuesta :

The question is incomplete, the complete question is ;

Ammonia decomposes to form nitrogen and hydrogen, like this:

[tex]2NH_3(g)\rightleftharpoons N_2(g)+3H_2(g)[/tex]

Also, a chemist finds that at a certain temperature the equilibrium mixture of ammonia, nitrogen, and hydrogen has the following composition:

Compound    Pressure at equilibrium.

[tex]NH_3[/tex]    98.8 atm

[tex]N_2[/tex]       14.8 atm

[tex]H_2[/tex]       77.3 atm

Calculate the value of the equilibrium constant for this reaction.

Answer:

700.30 is the value of the equilibrium constant for this reaction.

Explanation:

[tex]2NH_3(g)\rightleftharpoons N_2(g)+3H_2(g)[/tex]

Partial pressure of ammonia gas = [tex]p_1=98.8 atm[/tex]

Partial pressure of nitrogen gas = [tex]p_2=14.8 atm[/tex]

Partial pressure of hydrogen gas = [tex]p_3=77.3 atm[/tex]

The expression of equilibrium constant in terms of partial pressure is given as:

[tex]K_p=\frac{p_2\times (p_3)^3}{(p_1)^2}[/tex]

[tex]K_p=\frac{14.8\times (77.3)^3}{(98.8)^2}=700.30[/tex]

700.30 is the value of the equilibrium constant for this reaction.