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22.7 mL of (N/10) Na(2)CO(3) solution n...

22.7 mL of (N/10) `Na_(2)CO_(3)` solution neutralises 10.2 mL of a dilute `H_(2)SO_(4)` solution. The volume of water that must be added to 400 mL of this `H_(2)SO_(4)` solution in order to make it exactly N/10.

A

245 ml

B

484.6 ml

C

480 ml

D

490.2 ml

Text Solution

Verified by Experts

The correct Answer is:
D
`(22.7)/(1000)(1)/(10) = (10.2 xx N)/(1000) :.` Normality of `H_(2)SO_(4)` solution `= (22.7)/(10 xx 10.2) = (22.7)/(102)`
Let, V ml of water be added to 400 ml of `(22.7)/(102) N H_(2)SO_(4)` to make it `(N)/(10)` then,
`((v+400))/(1000) xx (1)/(10) = (400 xx 22.7)/(1000 xx 102), V + 40 = (4000 xx 22.7)/(102) = 890.2 ml, V = 490.2ml`
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