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$\xrightarrow{{Mg/THF}}A\mathop {\xrightarrow{{(i)\,C{H_3}CHO}}}\limits_{(ii)\,aq.N{H_4}Cl} B$
| $S.NO.$ | $[A]$ $mol.L^{-1}$ | $[B]$ $mol.L^{-1}$ | $Rate$ $mol.L^{-1}\,sec^{-1}$ |
| $I$ | $1 \times 10^{-2}$ | $2 \times 10^{-2}$ | $2 \times 10^{-4}$ |
| $II$ | $2 \times 10^{-2}$ | $2 \times 10^{-2}$ | $4 \times 10^{-4}$ |
| $III$ | $2 \times 10^{-2}$ | $4 \times 10^{-2}$ | $8 \times 10^{-4}$ |
Which of the following are correct statements -
$(a)$ Rate constant of the reaction $10^{-4}$
$(b)$ Rate law of the reaction is $k[A][B]$
$(c)$ Rate of reaction increases four times on doubling the concentration of both the reactant
$(A)$ Ethane-$1\ 2$-diamine is a chelating ligand.
$(B)$ Metallic aluminium is produced by elecrtrolysis of aluminium oxide in presence of cryolite.
$(C)$ Cyanide ion is used as ligand for leaching of silver.
$(D)$ Phosphine act as a ligand in Wilkinson catalyst.
$(E)$ The stability constants of $\mathrm{Ca}^{2+}$ and $\mathrm{Mg}^{2+}$ are similar with $EDTA$ complexes.
Choose the correct answer from the options given below: