Answer:
Option C
Explanation:
The involved redox reactions are :
$2H^{+}+OCl^{-}+2I^{-} \rightarrow Cl^{-}+I_{2}+H_{2}O$ ....(i)
$I_{2}+2S_{2}O_{3}^{2-} \rightarrow 2I^{-}+S_{4}O_{6}^{2-}$ ......(ii)
Also the n factor of$S-{2}O_{3}^{2-}$ is one as
$2S_{2}O_{3}^{2-} \rightarrow S_{4}O_{3}^{2-}+2e^{-}$
[obe 'e' is produced per unit of $S_{2}O_{3}^{2-}$]
$\Rightarrow$ Molarity of $Na_{2}S_{2}O_{3}=0.25 N \times 1$0.25 M
$\Rightarrow$ m mol of $Na_{2}S_{2}O_{3}$ used up=$0.25 \times 48=12$
Now from stoichiometry of reaction (ii)
12 m mol of $S_{2}O_{3}^{2-}$ would have reduced 6mmol of $I_{2}$
From stoichiometry of reaction (i)
m mol of $OCl^{-}$ reduced =m mol of $I_{2}$ produced =6
$\Rightarrow$ Molarity of household bleach solution= $\frac{6}{25}=0.24 M$