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Question

A buffer solution of 0.80M Na2HPO4 and 0.020M Na3PO4 is prepared. The electrolytic oxidation of 1.0 milli mole RNHOH is carried out in 100mL buffer to give.
RNHOH+H2ORNO2+4H++4e
Calculating approximate pH (nearest integer) of the solution after oxidation is complete. pKa1,pKa2 and pKa3 of H3PO4 are 2.12,7.20 and 12.0 respectively.

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Solution

The electrolytic oxidation of 1 millimole will give 4 mill moles of hydrogen ions. The molar concentration of hydrogen ions is 4×103100×103=0.04M
0.02 M hydrogen ions will react with 0.02 M Na3PO4 to form 0.02 M of HNa2PO4. The total concentration of HNa2Po4 will be 0.8+0.02=0.82M. Again 0.02 M of hydrogen ions will combine with 0.02 M of HNa2PO4 to form 0.02 M of NaH2PO4. The total concentration of HNa2PO4 will be 0.0820.02=0.8M.
The pH of the buffer solution is given by the expression pH=pKa+log(SaltAcid).
Substitute values in the above expression.
pH=7.20+log0.80.02=8.819

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