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Characteristics of Equilibrium Constant

K1 and K2 a...

Question

$K_{1}$ and $K_{2}$ are the respective equilibrium constant for the reactions:
(i) $X e F_{6 (g)} + H_{2} O_{(g)} ⇌ X e O F_{4 (g)} + 2 H F_{(g)}; K_{1}$
(ii) $X e O_{4 (g)} + X e F_{6 (g)} ⇌ X e O F_{4 (g)} + X e O_{1} F_{2}; K_{2}$
The equilibrium constant for the reaction
$X e O_{4 (g)} + 2 H F_{(g)} ⇌ X e O_{3} F_{2 (g)} + H_{2} O_{(g)}$ will be:

\frac{K^{1}}{K_{2}^{2}}

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K_{1} - K_{2}

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\frac{K_{1}}{K_{2}}

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\frac{K_{2}}{K_{1}}

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Solution

The correct option is D $\frac{K_{2}}{K_{1}}$
$X e F_{6} (g) + H_{2} O (g) ⇌ X e O F_{4} (g) + 2 H F (g)$
$\Rightarrow K_{1} = \frac{[X e O F_{4}] [H F]^{2}}{[X e F_{6}] [H_{2} O]} ⟶ (1)$
$X e O_{4} (g) + X e F_{6} (g) ⇌ X e O F_{4} (g) + X e O_{3} F_{2} (g)$
$\Rightarrow K_{2} = \frac{[X e O_{3} F_{2}] [X e O F_{4}]}{[X e O_{4}] [X e F_{6}]} ⟶ (2)$
Now for $X e O_{4} (g) + 2 H F (g) ⇌ X e O_{3} F_{2} (g) + H_{2} O (g)$
$\Rightarrow K_{3} = \frac{[X e O_{3} F_{1}] [H_{2} O]}{[X e O_{4}] [H F]^{2}} ⟶ (3)$
Now, $\frac{K_{2}}{K_{1}} = \frac{[X e O_{3} F_{2}] [X e O F_{4}]}{[X e O_{4}] [X e F_{6}]} \times \frac{[X e F_{6}] [H_{2} O]}{[X e O F_{4}] [H F]^{2}}$
$∴ \frac{K_{2}}{K_{1}} = K_{3}$

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Similar questions

K_{1}

K_{2}

X e F_{6} (g) + H_{2} O (g) \Leftrightarrow X e O F_{4} (g) + 2 H F (g)

X e O_{4} (g) + X e F_{6} (g) \Leftrightarrow X e O F_{4} (g) + X e O_{3} F_{2} (g)

X e O_{4} (g) + 2 H F (g) \Leftrightarrow X e O_{3} F_{2} (g) + H_{2} O (g)

K_{1}

K_{2}

X e F_{6} (g) + H_{2} O (g) ⇌ X e O F_{4} (g) + 2 H F (g)

X e O_{4} (g) + X e F_{6} (g) ⇌ X e O F_{4} (g) + X e O_{3} F_{2} (g)

X e O_{4} (g) + 2 H F (g) ⇌ X e O_{3} F_{2} (g) + H_{2} O (g)

K_{1}

K_{2}

X e F_{6} (g) + H_{2} O (g) ⇌ X e O F_{4} (g) + 2 H F (g)

X e O_{4} (g) + X e F_{6} (g) ⇌ X e O F_{4} (g) + X e O_{3} F_{2} (g)

X e O_{4} (g) + 2 H F (g) ⇌ X e O_{3} F_{2} (g) + H_{2} O (g)

X e F_{6} (g) + H_{2} O (g) ⇌ X e O F_{4} (g) + 2 H F (g); K_{1}

X e O_{4} (g) + X e F_{6} (g) ⇌ X e O F_{4} (g) + X e O_{3} F_{2} (g); K_{2}

X e O_{4} (g) + + 2 H F (g) ⇌ X e O_{3} F_{2} (g) + H_{2} O (g)

Equilibrium constants $K_{1}$ and $K_{2}$ for the following equilibria are

$N O (g) + 0.5 O_{2} (g) \to K_{1} N O_{2} (g)$ and
$2 N O_{2} (g) \to K_{2} 2 N O (g) + O_{2} (g)$

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