Core Logic
Reaction of chlorine with cold and dilute alkali forms chloride and hypochlorite:
Cl₂ + 2KOH arrow KCl + KClO + H₂O$$\mathrm{Cl}_2 + 2\mathrm{KOH} \rightarrow \mathrm{KCl} + \mathrm{KClO} + \mathrm{H}_2\mathrm{O}$$
Initial moles:
Moles of Cl₂$\mathrm{Cl}_2$ = 1 mole$1 \text{ mole}$
Moles of KOH = M × V = 2M × 2L = 4 moles$\mathrm{KOH} = M \times V = 2\mathrm{M} \times 2\mathrm{L} = 4 \text{ moles}$
Step 1: Stoichiometry
Cl₂ + 2KOH arrow KCl + KClO + H₂O$$\mathrm{Cl}_2 + 2\mathrm{KOH} \rightarrow \mathrm{KCl} + \mathrm{KClO} + \mathrm{H}_2\mathrm{O}$$
t = 0$t = 0$: 1 mole$1 \text{ mole}$ Cl₂$\mathrm{Cl}_2$, 4 moles$4 \text{ moles}$ KOH$\mathrm{KOH}$
Since 1 mole of Cl₂$\mathrm{Cl}_2$ reacts with 2 moles of KOH$\mathrm{KOH}$, Cl₂$\mathrm{Cl}_2$ is the limiting reagent.
At tf$t_f$ (final):
Moles of Cl₂$\mathrm{Cl}_2$ remaining = 0$0$
Moles of KOH$\mathrm{KOH}$ remaining = 4 - 2(1) = 2 moles$4 - 2(1) = 2 \text{ moles}$
Moles of KCl$\mathrm{KCl}$ formed = 1 mole$1 \text{ mole}$
Moles of KClO$\mathrm{KClO}$ formed = 1 mole$1 \text{ mole}$
Step 2: Final Concentrations
Total volume = 2 L.
[OH^-] = Moles of unreacted KOHVolume = (2)/(2) = 1M$[\mathrm{OH}^-] = \frac{\text{Moles of unreacted KOH}}{\text{Volume}} = \frac{2}{2} = 1\mathrm{M}$
[Cl^-] = Moles of KClVolume = (1)/(2) = 0.5M$[\mathrm{Cl}^-] = \frac{\text{Moles of KCl}}{\text{Volume}} = \frac{1}{2} = 0.5\mathrm{M}$
[ClO^-] = Moles of KClOVolume = (1)/(2) = 0.5M$[\mathrm{ClO}^-] = \frac{\text{Moles of KClO}}{\text{Volume}} = \frac{1}{2} = 0.5\mathrm{M}$
Pattern Recognition
Cold & dilute alkali + Cl₂$Cl_2$ arrow$\rightarrow$ Chloride + Hypochlorite (Cl^-$Cl^-$ & ClO^-$ClO^-$).
Hot & conc. alkali + Cl₂$Cl_2$ arrow$\rightarrow$ Chloride + Chlorate (Cl^-$Cl^-$ & ClO₃^-$ClO_3^-$).
Chapter Mix
Class 12 Chemistry: The p-Block Elements
Class 11 Chemistry: Some Basic Concepts of Chemistry