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Find the equilibrium constant for the reaction: A(g) + B(g) ⇌ 2C(g) at 25°C when k equals 1.4 × 10-12 M-1s-1 for the reaction: A(g) + B(g) → 2C(g) at 25°C and k equals 2.7 × 10-13 M-1s-1 for the reaction: 2C(g) → A(g) + B(g) at 25°C.

Answer :

Answer : The equilibrium constant for the following reaction is, 5.2

Explanation :

The forward chemical reaction is:

[tex]A(g)+B(g)\rightarrow 2C(g)[/tex]       [tex]K_f=1.4\times 10^{-12}[/tex]

The backward chemical reaction is:

[tex]2C(g)\rightarrow A(g)+B(g)[/tex]       [tex]K_b=2.7\times 10^{-13}[/tex]

Now we have to calculate the equilibrium constant for the following reaction.

[tex]A(g)+B(g)\rightleftharpoons 2C(g)[/tex]        [tex]K_{eq}=?[/tex]

The expression for equilibrium constant will be:

[tex]K_{eq}=\frac{K_f}{K_b}[/tex]

[tex]K_{eq}=\frac{1.4\times 10^{-12}}{2.7\times 10^{-13}}[/tex]

[tex]K_{eq}=5.2[/tex]

Therefore, the equilibrium constant for the following reaction is, 5.2

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