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What volume of 10 % (w/v) solution of...

What volume of 10 % (w/v) solution of `Na_(2)CO_(3)` will be required to neturalise 100 mL of HCl solution containing 3.65 g of HCl ?

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The correct Answer is:
106.4 mL

`10% Na_(2)CO_(3)(w//v)" solution has normality "=(10//53)/(100)xx1000=1.89 N" "("Eq. wt. of "Na_(2)CO_(3)=(106)/(2)=53)`
`"Normality of HCl solution "=(3.65//36.5)/(100)xx1000=1N`
`{:(" "N_(1)V_(1)=N_(2)V_(2)),((Na_(2)CO_(3))(HCl)),(1.89xxV_(1)=1xx100" or "V_(1)=100//1.89=52.9mL):}`
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