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Ways of Representing the Concentration of a Solution

A mixture con...

Question

A mixture containing $0.05 m o l e$ of $K_{2} C r_{2} O_{7}$ and $0.02 m o l e$ of $K M n O_{4}$ was treated with excess of $K I$ in acidic medium. The liberated iodine required $1.0 L$ of $N a_{2} S_{2} O_{3}$ solution for titration. Concentration of $N a_{2} S_{2} O_{3}$ solution was ?

A

0.40 m o l L^{- 1}

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B

0.20 m o l L^{- 1}

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C

0.25 m o l L^{- 1}

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D

0.30 m o l L^{- 1}

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Solution

The correct option is A $0.40 m o l L^{- 1}$
eq. wt. of $K_{2} C r_{2} O_{7} = \frac{Molar mass}{6}$

eq. wt. of $K M n O_{4} = \frac{Molar mass}{5}$

eq. of $N a_{2} S_{2} O_{3}$ = eq. of $I_{2}$ liberated
= eq. of $K M n O_{4}$ + eq. of $K_{2} C r_{2} O_{7}$
or $N \times 1 = 0.02 \times 5 + 0.05 \times 6$

$\Rightarrow N = 0.4$ or $M = 0.4$

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