The equilibrium constants of the reactions- S O 2 g- 1 2 O 2 g- S O 3 gand 2S O 2 g- O 2 g- 2S O 3 gare K1 and K2 respectively- The relationship between K1 and K2 is-

The correct option is C K _ 1 ^ 2 = K _ 2 The equilibrium constants of the #160; reactions, S O _ 2 (g)+ 1 2 O _ 2 (g)⇌ S O _ 3 (g) and 2S O ...

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Standard XII

Chemistry

Characteristics of Equilibrium Constant

The equilibri...

Question

The equilibrium constants of the reactions,
$S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)$
and $2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$
are $K_{1}$ and $K_{2}$ respectively. The relationship between $K_{1}$ and $K_{2}$ is:

K_{1} = K_{2}

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K_{2}^{2} = K_{2}

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K_{1}^{2} = K_{2}

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K_{2} = \sqrt{K_{1}}

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Solution

The correct option is C $K_{1}^{2} = K_{2}$
The equilibrium constants of the reactions,
$S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)$ and $2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$
are $K_{1}$ and $K_{2}$ respectively. The relationship between $K_{1}$ and $K_{2}$ is $K_{1}^{2} = K_{2}$ . It can also be represented as $K_{1} = K_{2}^{1 / 2}$ .
$K_{1} = {\frac{[S O_{3}]}{[S O_{2}] [O_{2}]}}^{1 / 2}$
$K_{2} = \frac{[S O_{3}]^{2}}{[S O_{2}]^{2} [O_{2}]}$
$K_{2} = ({\frac{[S O_{3}]}{[S O_{2}] [O_{2}]}}^{1 / 2})^{2}$
$K_{2} = K_{1}^{2}$

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Similar questions

Q. The equilibrium constants of the reactions

S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇋ S O_{3} (g)

and

2 S O_{2} (g) + O_{2} (g) ⇋ 2 S O_{3} (g)

are

K_{1}

and

K_{2}

respectively.

The relationship between

K_{1}

and

K_{2}

will be :

Q. Two gaseous equilibria

S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)

and

2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)

have equilibrium constants

K_{1}

and

K_{2}

respectively at

298 K

. Which of the following relationships between

K_{1}

and

K_{2}

is correct:

Q. At

298 K

equilibrium constant

K_{1}

and

K_{2}

of following reaction

S O_{2} (g) + 1 / 2 O_{2} (g) ⇌ S O_{3} (g)

----- (1)

2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)

-------- (2)
The relation between

K_{1}

and

K_{2}

is :

Two gaseous equilibria $S O_{2} (g) + 0.5 O_{2} (g) ⇌ S O_{3} (g)$ and

$2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)$ have equilibrium constants $K_{1}$ and $K_{2}$ respectively

at 298K. Which of the following relationships between $K_{1}$ and $K_{2}$ is correct

Q. Consider the equilibria (1) and (2) with equilibrium constants

K_{1}

and

K_{2}

respectively.

S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)

...... (1)

2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)

...... (2)

K_{1}

and

K_{2}

are related as:

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The equilibrium constants of the reactions,SO2(g)+12O2(g)⇌SO3(g)and 2SO2(g)+O2(g)⇌2SO3(g)are K1 and K2 respectively. The relationship between K1 and K2 is:

The equilibrium constants of the reactions,
$S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)$
and $2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$
are $K_{1}$ and $K_{2}$ respectively. The relationship between $K_{1}$ and $K_{2}$ is: