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Q.

In the mixture of ${NaHCO}_{3}$ and ${Na}_{2} {CO}_{3}$ the volume of HCl required is x ml with phenolphthalein and further y ml is required with methyl orange indicator. Hence the volume of HCl for complete reaction of ${NaHCO}_{3}$ present in original mixture is

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a

$x - \frac{y}{2}$

b

2x

c

$y - x$

d

Y

answer is D.

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Detailed Solution

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let the mixture consists of a &b milli moles of ${Na}_{2} {CO}_{3}$ and ${NaHCO}_{3}$ respectively
With $H P h \to a = M \times x$

With $MeOH \to a + b = M \times y$

$b = M (y - x)$

Volume $= (y - x) m l$

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In the mixture of NaHCO3 and Na2CO3 the volume of HCl required is x ml with phenolphthalein and further y ml is required with methyl orange indicator. Hence the volume of HCl for complete reaction of NaHCO3present in original mixture is