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Question

If this solution is treated with 30 mL of NaOH solution, then what molarity of NaOH is needed to reach the equivalence point with indicator?

A
0.1 M
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B
0.2 M
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C
0.3 M
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D
0.4 M
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Solution

The correct option is A 0.1 M
Hln is an acidic indicator (KInd=107)
30 mL of 0.05 M H3PO4(K1=103,K2=107,K3=1013)

From acid dissociation constants it can be seen that, indicator will indicate at second dissociation point so hydrogen ion conc at this point is,
30×0.05×2

At equivalence point conc. of NaOH will be same so
30×0.05×2=30×xM
x=0.1M

Molarity of NaOH = 0.1 M

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