Solving Biochem pH Problem for Na2HPO4 Solution

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The discussion revolves around determining the pH of a Na2HPO4 solution when dissolved in water. The relevant pKa values for phosphate derivatives are approximately 2, 7, and 12. The solution is expected to be in equilibrium between various phosphate species, including H3PO4, H2PO4(-), HPO4(-2), and PO4(-3). The proposed method for calculating the pH suggests averaging the pKa values of 7 and 12, resulting in an estimated pH of around 9. The conclusion indicates that this calculated pH is the chosen answer for the problem.
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Homework Statement



Solid Na2HPO4 is dissolved in water. What is the resulting pH of the solution? Relative pka's of phosphate derivaties are ~2, ~7, and ~12.

Homework Equations



No equation needed, just look at the species which phosphate would develop.


The Attempt at a Solution



I believe the specified compound would be in equilibrium between one of these species;
H3PO4, H2PO4 (-), HPO4 (-2) and PO4 (-3). The choices are 12, 7, 2, 9, or there is not enough information.
 
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Thank you very much! If I understand correctly then the answer would be 1/2 (7 +12) which would be ~ 9 ph?

That is the answer I chose. Thank you.
 
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