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  4. When 10 mL of an aqueous solution of KMnO 4 was titrated in acidic medium, equal volume of 0.1 M of an aqueous solution of ferrous sulphate was required for complete discharge of colour. The strength of KMnO 4 in grams per litre is × 10-2 . (Nearest integer) [ Atomic mass of K =39, Mn =55, O =16]

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Q. When $10 \,mL$ of an aqueous solution of $KMnO _{4}$ was titrated in acidic medium, equal volume of $0.1 \,M$ of an aqueous solution of ferrous sulphate was required for complete discharge of colour. The strength of $KMnO _{4}$ in grams per litre is ___ $\times 10^{-2} .$ (Nearest integer)
$[$ Atomic mass of $K =39, Mn =55, O =16]$

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Solution:

Let molarity of $KMnO _{4}= x$
$KMnO _{4}+ FeSO _{4} \rightarrow Fe _{2}\left( SO _{4}\right)_{3}+ Mn ^{2+}$
$n =5 \,\,\,\, \,n =1$
(Equivalents of $KMnO _{4}$ reacted) $=$ (Equivalents of $FeSO _{4}$ reacted)
$\Rightarrow (5 \times x \times 10\, ml )=1 \times 0.1 \times 10 \,ml$
$\Rightarrow x =0.02\, M$
Molar mass of $KMnO _{4}=158 \,gm / mol$
$\Rightarrow $ Strength $=( x \times 158)=3.16\, g / \ell$