What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are
Match List I with List II :
| List-I Polymer | List-II used for items | ||
|---|---|---|---|
| A | Nylon 6,6 | I | Buckets |
| B | Low density polythene | II | Non-stick utensils |
| C | High density polythene | III | Bristles of brushes |
| D | Teflon | IV | Toys |
| List I (polymer) | List-II (Nature) | ||
| A. | I. | Thermosetting polymer | |
| B. | II. | Fibers | |
| C. | III. | Elastomer | |
| D. | IV. | Thermoplastic polymer |
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)