A mixture of SO 3- SO 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 SO 2 g - O 2 g - 2 SO 3 g is 100Then choose the correct statements -A- If the number of mole of SO 2 and SO 3 in flask are equal- then 0-1 moles of O 2 are presentB- If the number of mole of SO 2 and SO 3 in flask are equal- then 0-4 moles of O 2 are presentC- If the number of moles of SO 3 in the flask is twice the number of mole of SO 2- then 0-4 moles of O 2 are presentD- If the number of moles of SO 3 in the flask is twice the number of mole of SO 2- then 0-1 moles of O 2 are present

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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 :

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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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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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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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 options are
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
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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A mixture of SO3, SO2 and O2 gases is maintained in a 10.0 L flask at a temperature at which equilibrium constant Kc fo the reaction 2SO2(g)+O2(g)⇌2SO3(g) is 100 Then choose the correct statements :

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 :