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For the reaction: \( \mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g}) \)
Equilibrium constant \( \mathrm{K}_{\mathrm{c}}=\frac{\left[\mathrm{NH}_{3}\right]^{2}}{\left[\mathrm{~N}_{2}\right]\left[\mathrm{H}_{2}\right]^{3}} \)
W.
Some reactions are written below in column I and their equilibrium constants in terms of \( \mathrm{K}_{\mathrm{c}} \) in column II. Match the following reactions with the corresponding equilibrium constant.
\begin{tabular}{|l|l|l|l|}
\hline & \multicolumn{1}{|c|}{\begin{tabular}{c}
Column - I \\
(Reaction)
\end{tabular}} & & \begin{tabular}{c}
Column -II \\
(Equilibrium \\
constant)
\end{tabular} \\
\hline (A) & \( 2 \mathrm{~N}_{2}(\mathrm{~g})+6 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 4 \mathrm{NH}_{3}(\mathrm{~g}) \) & 1. & \( 2 \mathrm{~K}_{\mathrm{c}} \) \\
\hline (B) & \( 2 \mathrm{NH}_{3}(\mathrm{~g}) \rightleftharpoons \mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \) & 2. & \( \mathrm{~K}_{\mathrm{c}}^{1 / 2} \) \\
\hline\( (\mathrm{C}) \) & \( \frac{1}{2} \mathrm{~N}_{2}(\mathrm{~g})+\frac{3}{2} \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{NH}_{3}(\mathrm{~g}) \) & 3. & \( \frac{1}{\mathrm{~K}_{\mathrm{c}}} \) \\
\hline & & 4. & \( \mathrm{~K}_{\mathrm{c}}^{2} \) \\
\hline
\end{tabular}
\begin{tabular}{llll}
& A & B & C \\
(1) & 1 & 2 & 3 \\
(2) & 4 & 1 & 3 \\
(3) & 4 & 3 & 2 \\
(4) & 1 & 3 & 2
\end{tabular}


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