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In a study of the following reaction at 1200 K, it was observed that when the equilibrium partial pressure of water vapor is 15.0 torr, the total pressure at equilibrium is 36.3 torr. What is the equilibrium constant for this reaction?

Answer :

The question is incomplete , the complete question is ;

In a study of the following reaction :

[tex]3Fe(s)+4H_2O(g)\rightleftharpoons Fe_2O_4(s)+4H_2(g)[/tex]

at 1200 K it was observed that when the equilibrium partial pressure of water vapor is 15.0 torr, the total pressure at equilibrium is 36.3 torr. Calculate the [tex]K_p[/tex] foe this reaction at 1200 K.

Answer:

The [tex]K_p[/tex] for this reaction at 1200 K is 4.066[/tex].

Explanation:

Partial pressure of the water vapor at equilibrium = [tex]p_1=15.0 Torr[/tex]

Partial pressure of the hydrogen gas at equilibrium = [tex]p_2[/tex]

Total pressure at equilibrium = [tex]P=36.3 Torr[/tex]

[tex]P_1+P_2[/tex]

[tex]p_2=P-P_1=36.3 Torr-15.0 Torr=21.3 Torr[/tex]

[tex]3Fe(s)+4H_2O(g)\rightleftharpoons Fe_2O_4(s)+4H_2(g)[/tex]

The expression if [tex]K_p[/tex] is given as;

[tex]K_p=\frac{(p_2)^4}{(p_1)^4}[/tex]

(the partial pressure of the gas will be taken along with which partial pressure of the solids are taken as unity)

[tex]K_p=\frac{(21.3 Torr)^4}{(15.0 Torr)^4}[/tex]

[tex]K_p=4.066[/tex]

The [tex]K_p[/tex] for this reaction at 1200 K is 4.066[/tex].

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