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Wrting an equilibrium constant for a reaction sequence Hydrogen is manufactured on an industrial scale by this sequence of reactions: CH,( H,O()Co()+3H2() co(g) +H2O(g) CO2(g) + H2(g) K, The net reaction is: CH4(g)+2H2O(g) CO2(g)+4H2(g) Write an equation that gives the overall equilibrium constant K in terms of the equilibrium constants K and K If you need to include any physical constants, be sure you use their standard symbols, which you'll find in the ALEKS Calculator

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Answer:

The overall equilibrium constant K in terms of the equilibrium constants [tex]K_1\& K_2[/tex]:

[tex]K=K_1\times K_2[/tex]

Explanation:

[tex]CH_4(g) H_2O(g)\rightleftharpoons CO(g)+3H_2(g)[/tex]

Equilibrium constant of reaction :

[tex]K_1=\frac{[CO][H_2]^3}{[CH_4][H_2O]}[/tex]

[tex]CO(g) +H_2O(g)\rightleftharpoons CO_2(g) + H_2(g)[/tex]

Equilibrium constant of reaction :

[tex]K_2=\frac{[CO_2][H_2]}{[CO][H_2O]}[/tex]

The net reaction is:

[tex] CH_4(g)+2H_2O(g)\rightleftharpoons CO_2(g)+4H_2(g) [/tex]

Equilibrium constant of reaction :

[tex]K=\frac{[CO_2][H_2]^4}{[CH_4][H_2O]^2}[/tex]

[tex]K=\frac{[CO_2][H_2]^4}{[CH_4][H_2O]^2}\times \frac{[CO]}{[CO]}[/tex]

Rearranging the equation :

[tex]K=\frac{[CO][H_2]^3}{[CH_4][H_2O]}\times \frac{[CO_2][H_2]}{[CO][H_2O]}[/tex]

[tex]K=K_1\times K_2[/tex]

The overall equilibrium constant K in terms of the equilibrium constants [tex]K_1\& K_2[/tex]:

[tex]K=K_1\times K_2[/tex]

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