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Question

Final the ΔpH ( initial pH - final pH ) when 100 ml of 0.01 M HCI is added in solution containing 0.1 m moles of NaHCO3 solution of negligible volume (initial pH=9,Ka1=107,Ka2=1011 for H2CO3):

A
6 + 2 log 3
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B
6- log 3
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C
6 + 2 log 2
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D
6 - 2 log 3
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Solution

The correct option is B 6 + 2 log 3
The initial pH is the pH of the NaHCO3​ solution. It is 9.

The reaction between HCl and NaHCO3​ can be represented as, H++HCO3H2CO3​.

The number of mmoles of HCl remaining unreacted is =10.1=0.9mmol.

The expression for the final pH of the solution is pH=log(9×103)=2 log 3+3.

The change in pH is (initial pH−final pH)=9(2 log 3+3)=6+2 log 3.

Option A is correct.

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