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Characteristics of Equilibrium Constant

If K1and ...

Question

If $K_{1}$ and $K_{2}$ are the respective equilibrium constants for the two reactions
$X e F_{6} (g) + H_{2} O (g) ⇌ X e O F_{4} (g) + 2 H F (g)$
$X e O_{4} (g) + X e F_{6} (g) ⇌ X e O F_{4} (g) + X e O_{3} F_{2} (g)$
the equilibrium constant of the following reaction is:
$X e O_{4} (g) + 2 H F (g) ⇌ X e O_{3} F_{2} (g) + H_{2} O (g)$ will be:

K_{1} / {K_{2}}^{2}

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K_{1} \times K_{2}

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K_{1} / K_{2}

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K_{2} / K_{1}

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Solution

The correct option is D $K_{2} / K_{1}$
For the reaction
$X e F_{6} (g) + H_{2} O (g) ⇌ X e O F_{4} (g) + 2 H F (g)$
$K_{1} = \frac{[X e O F_{4}] [H F]^{2}}{[X e F_{6}] [H_{2} O]}$ . . . . . (1)
and for the reaction
$X e O_{4} (g) + X e F_{6} (g) ⇌ X e O F_{4} (g) + X e O_{3} F_{2} (g)$

$K_{2} = \frac{[X e O F_{4}] [X e O_{3} F_{2}]}{[X e O_{4}] [X e F_{6}]}$ . . . . . (2)
For reaction :
$X e O_{4} (g) + 2 H F (g) ⇌ X e O_{3} F_{2} (g) + H_{2} O (g)$

$K = \frac{[X e O_{3} F_{2}] [H_{2} O]}{[X e O_{4}] [H F]^{2}}$ ...
Clearly, from (I) and (2) $K = K_{2} / K_{1}$

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Similar questions

K_{1}

K_{2}

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_{1} F_{2}; K_{2}

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) \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)

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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