Calculating pH of Na3PO4 and NaH2PO4 Solution with Ka Values for H2CO3

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Discussion Overview

The discussion revolves around calculating the pH of a solution containing a mixture of sodium phosphate compounds, specifically Na3PO4 and NaH2PO4, while considering the dissociation constants (Ka values) for carbonic acid (H2CO3). The scope includes theoretical and homework-related aspects of acid-base equilibria.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that since the hydrolysis constant (K_h) of Na3PO4 is much greater than Ka2, they initially considered only the hydrolysis of Na3PO4, but this led to an incorrect answer.
  • Another participant suggests that the mixture of a weak acid (NaH2PO4) and its conjugate base (Na3PO4) should be considered, implying a potential buffer system.
  • A different participant expresses confusion over the multiple equilibria present in the solution and acknowledges that their initial assumption may not be valid.
  • One participant reflects on their previous comment and prompts others to consider whether mixing equimolar amounts of Na3PO4 and NaH2PO4 is equivalent to simply dissolving Na2HPO4.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple competing views regarding the contributions of different equilibria and the assumptions made in the calculations.

Contextual Notes

Participants express uncertainty about the assumptions underlying their calculations, particularly regarding the contributions of various equilibria in the solution.

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Homework Statement



[tex]50ml[/tex] of [tex]0.10M Na_3PO_4 + 50ml[/tex] of [tex]0.10M NaH_2PO_4[/tex]

For [tex]H_2CO_3[/tex]:
[tex]Ka_1 = 7.5 * 10^{ - 3}[/tex]
[tex]Ka_2 = 6.2 * 10^{ - 8}[/tex]
[tex]Ka_3 = 1.0 * 10^{ - 12}[/tex]


Homework Equations





The Attempt at a Solution



Since [tex]K_h[/tex] of [tex]Na_3PO_4 > > Ka_2[/tex] , I considered only hydrolysis of [tex]Na_3PO_4[/tex] but it gives wrong answer.
 
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You have a mixture of a weak acid and its conjugate base - does it ring a bell?
 
Actually, there are so many equilibria in this solution I can't figure out what will contribute and the assumption I made(given above) seems to give a wrong answer.
 
Actually my previous comment was not too good :frown:

Think this way: you have mixed equimolar amounts of Na3PO4 and NaH2PO4. Does it differ from just dissolving Na2HPO4?
 

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