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Question

Which of the following relation is correct regarding pH of salt of amphiprotic ion, H2PO−4:
Given: Ka1 is first acid dissociation constant of H3PO4 and Ka2 is second acid dissociation constant of H3PO4.

A
pH=pKa12×pKa2
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B
pH=12[pKa1×pKa2]
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C
pH=12[pKa1pKa2]
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D
pH=12[pKa1+pKa2]
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Solution

The correct option is D pH=12[pKa1+pKa2]
Salts of amphiprotic ions :
Consider the following salts each with concentration C
Salt 1- Na3PO4
Salt 2- NaH2PO4

To calculate the pH, when Na3PO4 is dissolved in water, we can say that only PO34 ion is hydrolyzed but in NaH2PO4, the ions hydrolysed are H2PO4. It is an amphiprotic ion.
H2PO4(aq)+H2O(l)H3PO4(aq)+OH(aq)Kh=KwKa1
H2PO4(aq)+H2O(l)HPO24(aq)+H3O+ (aq)Kh=KwKa2

Calculation of pH can be done with the relation:
pH=12[pKa1+pKa2]

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