Step 1: Writing the reaction.
Cold and dilute KOH reacts with chlorine as:
\[
\text{Cl}_2 + 2\text{OH}^- \rightarrow \text{Cl}^- + \text{ClO}^- + \text{H}_2\text{O}
\]
Step 2: Calculating moles.
Initial moles of KOH = $2 \times 2 = 4$ moles
1 mole of Cl$_2$ consumes 2 moles of OH$^-$, leaving 2 moles OH$^-$.
Step 3: Final concentrations.
Moles of Cl$^-$ = 1, ClO$^-$ = 1, OH$^-$ = 2
Volume = 2 L
\[
[\text{Cl}^-] = 0.5\,\text{M},\; [\text{ClO}^-] = 0.5\,\text{M},\; [\text{OH}^-] = 1\,\text{M}
\]