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Characteristics of Equilibrium Constant

A mixture of ...

Question

A mixture of $S O_{3}$ , $S O_{2}$ and $O_{2}$ gases is maintained in a $10.0 L$ flask at a temperature at which equilibrium constant $K_{c}$ fo the reaction
$2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$ is $100$
Then choose the correct statements :

A

If the number of mole of

S O_{2}

and

S O_{3}

in flask are equal, then

0.1

moles of

O_{2}

are present

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B

If the number of mole of

S O_{2}

and

S O_{3}

in flask are equal, then

0.4

moles of

O_{2}

are present

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C

If the number of moles of

S O_{3}

in the flask is twice the number of mole of

S O_{2}

, then

0.4

moles of

O_{2}

are present

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D

If the number of moles of

S O_{3}

in the flask is twice the number of mole of

S O_{2}

, then

0.1

moles of

O_{2}

are present

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Solution

The correct option is C If the number of moles of $S O_{3}$ in the flask is twice the number of mole of $S O_{2}$ , then $0.4$ moles of $O_{2}$ are present
The given equilibrium is
$2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g) K_{c} = \frac{[S O_{3}]^{2}}{[S O_{2}]^{2} [O]^{2}} . . . (i)$
$If [S O_{3}] = [S O_{2}] Then K_{c} = \frac{1}{[O_{2}]} [O_{2}] = \frac{1}{K_{C}} = \frac{1}{100} = 0.01 {mol L}^{- 1}$
$Total moles of O_{2} present = 0.01 \times 10 = 0.1 m o l e s$
Volume of vessel is $10 L$

When $[S O_{3}] = [S O_{2}]$
$Then K_{c} = \frac{[S O_{2}]^{2}}{[S O_{2}]^{2} [O]^{2}} from equation (i)$
$100 = \frac{4}{[O_{2}]} [O_{2}] = \frac{4}{100} = 0.04 {mol L}^{- 1}$
$Total moles of O_{2} in vessel at equilibrium = 0.04 \times 10 = 0.4 mol$

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Similar questions

Q. A mixture of

S O_{3}

S O_{2}

O_{2}

gases is maintained in a

10.0 L

flask at a temperature at which equilibrium constant

K_{c}

fo the reaction

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

100

Then choose the correct statements :

Q. A mixture of

S O_{3} . S O_{2}

O_{2}

gases is maintained at equilibrium in 10 litre flask at a temperature at which

K_{c}

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

m o l^{- 1} l i t r e

At equilibrium.
a) If no. of mole of

S O_{3}

S O_{2}

in flask are same, how many mole of

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are present?
b) If no. of mole of

S O_{3}

in flask are twice the no.of mole of

S O_{2}

. how many mole of

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Q. A mixture of

S O_{3}, S O_{2}

O_{2}

gases is maintained at equilibrium in 10 litre. flask at a temperature at which Kc for the reaction,

2 S O_{2} (g) + O_{2} (g) ⇀ ↽ 2 S O_{3} (g)

100 m o l^{- 1}

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Q. A mixture of

{S O}_{3}, {S O}_{2}

O_{2}

gases is maintained in a

10 L

flask at a temperature at which the equilibrium constant for the reaction is

100

and the reaction is,

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

.
(i) If the number of moles of

{S O}_{2}

{S O}_{3}

in the flask are equal, how many moles of

O_{2}

are present?
(ii) If the number of moles of

{S O}_{3}

in the flask is twice the number of moles of

{S O}_{2}

, how many moles of oxygen are present?

Q. Homogeneous equilibrium :

K_{c}

is gaseous system
A mixture of

S O_{3}, S O_{2}

O_{2}

gases is maintained at equilibrium in

10

litre flask at a temperature at which

K_{c}

for the reaction,

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

100 m o l^{- 1}

litre. At equilibrium.
(a) If no. of mole of

S O_{3}

S O_{2}

in flask are same, how many mole of

O_{2}

are present?
(b) If no. of mole of

S O_{3}

in flask are twice the no. of mole of

S O_{2}

, how many mole of

O_{2}

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