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Q. 0.1 M $KMnO_{4}$ is used for the following titration. What volume of the solution in ml will be required to react with 0.158 g $Na_{2}S_{2}O_{3}.5H_{2}O$ ?

$3S_{2}O_{3}^{2 -}+MnO_{4}^{-}+H_{2}O \rightarrow 8MnO_{2}+6SO_{4}^{2 -}+2OH^{-}$

NTA AbhyasNTA Abhyas 2020Redox Reactions

Solution:

As per as the balanced equation given below

$3S_{2}O_{3}^{2 -}+8MnO_{4}^{-}+H_{2}O \rightarrow 8MnO_{2}+6SO_{4}^{2 -}+2OH^{-}$

$3$ moles of $Na_{2}S_{2}O_{3}=8$ moles of $KMnO_{4}$

$3\times 248$ g of $Na_{2}S_{2}O_{3}=8\times 158$ g of $KMnO_{4}$

0.158 g of $Na_{2}S_{2}O_{3}=\frac{8 \times 158 \times 0.158}{3 \times 248}$

$=0.27$ g $KMnO_{4}$

Volume $=\frac{W t . \times 1000}{M o l a r i t y \times M o l . W t .}$

$=\frac{0.27 \times 1000}{0.1 \times 158}=17 ml$ .