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Q. A mixed solution of potassium hydroxide and sodium carbonate required $15 \,mL$ of an $N / 20\, HCl$ 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 $KOH$ present in the solution is

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Solution:

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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 $x=$ $0.25$
$\Rightarrow KOH =x$ mmoles $=0.25 \times 10^{-3} \times 56\, g =$ $0.014\, g$