I SO 2 g -1-2 O 2 g - SO 3 g - Eq- const- is K 1ii 2 SO 3 g - 2 SO 2 g - O 2 g - Eq- const is K 2if K 1-4 - 10-3- then K 2 will beA- 8-0- 10-3B- 16- 10-6C- 6-25-108-D- 6-25- 104

The correct option is D 6.25 ´ 104 SO_2(g) + 1/2 O_2(g) ⇌ SO_3(g), K_1 —(eq 1) 2SO_3(g) ⇌ 2SO_2(g) + O_2(g), K_2 —(eq 2) eq 2 = 2 × (eq 1); K_2 = 1/(K_ ...

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Byju's Answer

Standard XII

Mathematics

Combination

i SO 2 g +1/2...

Question

$(i) S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)$ , Eq. const. is $K_{1}$

$(i i) 2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)$ , Eq. const is $K_{2}$

if $K_{1} = 4 \times 10^{- 3}$ , then $K_{2}$ will be

8.0 ´ 10^-3

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16 ´ 10^-6

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6.25 ´ 10⁴

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6.25 ´ 10⁸

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Solution

The correct option is C
6.25 ´ 10⁴

$S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g), K_{1} - - - (e q - 1)$

$2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g), K_{2} - - - (e q - 2)$

$e q - 2 = - 2 \times (e q - 1); K_{2} = \frac{1}{(K_{1})^{2}} = \frac{1}{(4 \times 10^{- 3})^{2}} = 6.25 \times 10^{4}$

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Similar questions

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 :

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. 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. 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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(i)SO2(g)+12O2(g)⇌SO3(g), Eq. const. is K1 (ii)2SO3(g)⇌2SO2(g)+O2(g), Eq. const is K2 if K1=4×10−3, then K2 will be

The correct option is C 6.25 ´ 104 SO2(g)+12O2(g)⇌SO3(g), K1 −−−(eq−1) 2SO3(g)⇌2SO2(g)+O2(g), K2 −−−(eq−2) eq−2=−2×(eq−1);K2=1(K1)2=1(4×10−3)2=6.25×104

$(i) S O_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ S O_{3} (g)$ , Eq. const. is $K_{1}$

$(i i) 2 S O_{3} (g) ⇌ 2 S O_{2} (g) + O_{2} (g)$ , Eq. const is $K_{2}$

if $K_{1} = 4 \times 10^{- 3}$ , then $K_{2}$ will be