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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 $K_{2}$ will be :

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

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

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K_{1} = K_{2}

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K_{2}^{3} = K_{1}

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Solution

The correct option is B $K_{1}^{2} = K_{2}$
Given, $S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇋ S O_{3} (g); K_{1}$ ....(i)

$2 S O_{2} (g) + O_{2} (g) ⇋ 2 S O_{3} (g); K_{2}$ .......(ii)

$∴ K_{1} = \frac{[S O_{3}]}{[S O_{2}] [O_{2}]^{1 / 2}}$

$\Rightarrow K_{2} = \frac{[S O_{3}]^{2}}{[S O_{2}]^{2} [O_{2}]}$

Multiplying reaction 1 by 2 we get the 2nd reaction.

$∴ K_{1}^{2} = K_{2}$ .

Hence, the correct option is A.

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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}

is:

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}

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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 will be :

The correct option is B K21=K2Given, SO2(g)+12O2(g)⇋SO3(g); K1 ....(i)2SO2(g)+O2(g)⇋2SO3(g); K2 .......(ii)∴K1=[SO3][SO2][O2]1/2 ⇒K2=[SO3]2[SO2]2[O2]Multiplying reaction 1 by 2 we get the 2nd reaction.∴K21=K2.Hence, the correct option is A.

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 :