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Question

Two drops of methyl ogrange is added to 20.0mL of 0.05M Na2CO3 solution and this is titrated against HCl taken in a burette. Light pinkish red colour was obtained when the volume of the acid added was 23.5mL. The concentration of the acid was?

A
0.100M
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B
0.150M
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C
0.085M
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D
0.095M
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Solution

The correct option is C 0.085M
Given
Molarity of Na2CO3=0.05M
Volume of Na2CO3=20ml
Volume of HCl= 23.5ml
Molarity of HCl= ?
Solution
Na2CO3+2HCl=2NaCl+H2O+CO2
As 1 mole of base is reacting with 2 mole of acid
Hence
Using volumetric principle of titration
moles of acidmoles of base=21


Moles of acid =MHClVHCl

Moles of base=MNa2CO3VNa2CO3

M23.50.0520=21

M=0.085M

The correct option is C

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