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Types of Redox Reactions

A mixed solut...

Question

A mixed solution of potassium hydroxide and sodium carbonate required $15$ mL of an $\frac{N}{20} H C l$ solution when titrated with phenolphthalein as an indicator. But the same amount of the solution when titrated with methyl orange as indicator required $25$ mL of the same acid. The amount of $K O H$ present in the solution is :

A

0.014

g

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B

0.14

g

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C

0.028

g

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D

0.25

g

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Solution

The correct option is A $0.014$ g
$K O H (x m m o l) + N a_{2} C O_{3} (y m m o l)$
i. $(x \times 1) + (y \times 2) \times \frac{1}{2} = \frac{1}{20} \times 15$

ii. $(x \times 1) + (y \times 2) = \frac{1}{20} \times 25 \Rightarrow y = 0.5$ and $x = 0.25$

$\Rightarrow K O H \equiv x$ mmoles $= 0.25 \times 10^{- 3} \times 56 g = 0.014 g$

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