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Question:

$\mathrm{K}_{1}, \mathrm{~K}_{2}$ and $\mathrm{K}_{3}$ are the equilibrium constants of the following reactions (I), (II) and (III), respectively

(I) $\mathrm{N}_{2}+2 \mathrm{O}_{2} \rightleftharpoons 2 \mathrm{NO}_{2}$ (II) $2 \mathrm{NO}_{2} \rightleftharpoons \mathrm{N}_{2}+2 \mathrm{O}_{2}$

(III) $\mathrm{NO}_{2} \rightleftharpoons \frac{1}{2} \mathrm{~N}_{2}+\mathrm{O}_{2}$

The correct relation from the following is:

  1. $K_{1}=\sqrt{K_{2}}=K_{3}$

  2. $\mathrm{K}_{1}=\frac{1}{\mathrm{~K}_{2}}=\frac{1}{\mathrm{~K}_{3}}$

  3. $\mathrm{K}_{1}=\frac{1}{\mathrm{~K}_{2}}=\mathrm{K}_{3}$

  4. $K_{1}=\frac{1}{K_{2}}=\frac{1}{\left(K_{3}\right)^{2}}$


Correct Option: , 4

Solution:

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