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Standard XII

Chemistry

Ideal Gas Equation

An equilibriu...

Question

An equilibrium mixture in a vessel of capacity 100 litre contain $1 m o l N_{2}, 2 m o l O_{2}$ and $3 m o l N O . N o . o f m o l e s o f O_{2}$ to be added so that at new equilibrium the conc. of NO is found to be 0.04 mol/lit :

(101/18)

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(101/9)

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(202/9)

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None of these

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Solution

The correct option is A (101/18)
$N_{2} + O_{2} ⇌ 2 N O$
0.01M 0.02M 0.03M

$K_{C} = \frac{{0.03}^{2}}{0.01 \times 0.02} = 4.5$

Let a moles of $O_{2}$ be added ( $25 : 5$ $O_{2}$ $9$ a
$N_{2} + O_{2} ⇌ 2 N O$
0.01-x 0.02+a-x 0.03 + 2x
$0.03 + 2 x = 0.04$
$\Rightarrow x = 0.005$

i.e., $4.5 = \frac{(0.04)^{2}}{(0.015 + a) (0.005)}$

Moles of $O_{2}$
$a d d e d = a \times 100 = \frac{101}{18}$

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An equilibrium mixture in a vessel of capacity 100 litre contain 1molN2,2molO2 and 3molNO.No.ofmolesofO2 to be added so that at new equilibrium the conc. of NO is found to be 0.04 mol/lit :

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An equilibrium mixture in a vessel of capacity 100 litre contain $1 m o l N_{2}, 2 m o l O_{2}$ and $3 m o l N O . N o . o f m o l e s o f O_{2}$ to be added so that at new equilibrium the conc. of NO is found to be 0.04 mol/lit :