Consider the reactions- NO2g -1-2N2g - O2g - K1N2O4g- 2NO2g - K2Give the expression for equilibrium constant for the formation of N2O4 from N2 and O2-

Given: NO_2(g) amp;⇌ amp; 12N_2(g) amp;+ amp;O_2(g) amp; amp;...K_1 N_2O_4(g) amp;⇌ amp; N_2O_4(g) amp; amp; amp; amp;...K_2 According ...

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Byju's Answer

Standard XII

Chemistry

Derivation of Kp and Kc

Consider the ...

Question

Consider the reactions,
$N O_{2} (g) ⇌ \frac{1}{2} N_{2} (g) + O_{2} (g) \dots K_{1}$
$N_{2} O_{4} (g) ⇌ 2 N O_{2} (g) \dots K_{2}$
Give the expression for equilibrium constant for the formation of $N_{2} O_{4}$ from $N_{2}$ and $O_{2}$ :

\frac{1}{2 K_{1}} + \frac{1}{K_{2}}

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\sqrt{\frac{1}{K_{1} K_{2}}}

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\frac{K_{2}}{K_{1}}

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\frac{1}{K_{1}^{2}} \times \frac{1}{K_{2}}

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Solution

The correct option is D $\frac{1}{K_{1}^{2}} \times \frac{1}{K_{2}}$
Given:
$\begin{matrix} N O_{2} (g) & ⇌ & \frac{1}{2} N_{2} (g) & + & O_{2} (g) & . . . K_{1} N_{2} O_{4} (g) & ⇌ & N_{2} O_{4} (g) & . . . K_{2} \end{matrix}$

$According to question$
$N_{2} (g) + 2 O_{2} (g) ⇌ N_{2} O_{4} (g) . . . K_{e q} = ?$
$Multiply equation (1) by 2 and reverse$
$\begin{matrix} N_{2} (g) & + & 2 O_{2} (g) & ⇌ & 2 N O_{2} (g) & . . . K_{1}^{'} = \frac{1}{K_{1}^{2}} & (3) \end{matrix}$
$On reversing equation 2$
$\begin{matrix} 2 N O_{2} (g) & ⇌ & N_{2} O_{4} (g) & . . . K_{2}^{'} = \frac{1}{K_{2}} & (4) \end{matrix}$
$On adding equations (3) and (4)$
$\begin{matrix} N_{2} (g) & + & 2 O_{2} (g) & ⇌ & N_{2} O_{4} (g) & K_{e q} = \frac{1}{K_{1}^{2}} \times \frac{1}{K_{2}} \end{matrix}$
Hence, option (a) is correct.

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Similar questions

Reaction between N₂ and O₂ takes place as follows:

If a mixture of 0.482 mol of N₂ and 0.933 mol of O₂ is placed in a 10 L reaction vessel and allowed to form N₂O at a temperature for which K_c = 2.0 × 10^–37, determine the composition of equilibrium mixture.

Q. Consider the reactions,

N O_{2} (g) ⇌ \frac{1}{2} N_{2} (g) + O_{2} (g) \dots K_{1}

N_{2} O_{4} (g) ⇌ 2 N O_{2} (g) \dots K_{2}

Give the expression for equilibrium constant for the formation of

N_{2} O_{4}

from

N_{2}

and

O_{2}

Q. Consider the reactions,

{N O}_{2} (g) ⇌ \frac{1}{2} N_{2} (g) + O_{2} (g)

;

K_{1}

N_{2} O_{4} ⇌ 2 {N O}_{2}

;

K_{2}

Give the equilibrium constant for the formation of

N_{2} O_{4}

from

N_{2}

and

O_{2}

Q. The equilibrium constant for the given reaction is

100

N_{2} (g) + O_{2} (g) ⇌ 2 {N O}_{2} (g)

What is the equilibrium constant for the reaction given below?

{N O}_{2} (g) ⇌ \frac{1}{2} N_{2} (g) + O_{2} (g)

Q. For the reaction

N_{2} (g) + O_{2} (g) ⇌ 2 N O (g)

, the equilibrium constant is

K_{1} .

The equilibrium constant is

K_{2}

for the reaction

2 N O (g) + O_{2} (g) ⇌ 2 N O_{2} (g) .

What is equilibrium constant for the reaction

N O_{2} (g) ⇌ \frac{1}{2} N_{2} (g) + O_{2} (g)

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Consider the reactions, NO2(g)⇌12N2(g)+O2(g) ⋯K1 N2O4(g)⇌2NO2(g) ⋯K2 Give the expression for equilibrium constant for the formation of N2O4 from N2 and O2:

Consider the reactions,
$N O_{2} (g) ⇌ \frac{1}{2} N_{2} (g) + O_{2} (g) \dots K_{1}$
$N_{2} O_{4} (g) ⇌ 2 N O_{2} (g) \dots K_{2}$
Give the expression for equilibrium constant for the formation of $N_{2} O_{4}$ from $N_{2}$ and $O_{2}$ :