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Calculate Ho3 and Ph of 0.350 M H3po4

Reviewed by Calculator Editorial Team

This guide explains how to calculate the concentration of the HO3- ion and the pH of a 0.350 M solution of phosphoric acid (H3PO4). The calculation involves understanding the acid dissociation constants and the distribution of phosphate species in solution.

How to Calculate HO3- and pH of 0.350 M H3PO4

To determine the concentration of HO3- and the pH of a 0.350 M H3PO4 solution, follow these steps:

  1. Identify the acid dissociation constants (Ka1, Ka2, Ka3) for H3PO4.
  2. Set up the equilibrium equations for each dissociation step.
  3. Solve the system of equations to find the concentrations of all phosphate species.
  4. Calculate the pH from the hydrogen ion concentration.

The calculation requires solving a system of nonlinear equations, which is typically done using numerical methods or approximation techniques.

Key Formula

The concentration of HO3- in a solution of H3PO4 can be calculated using the following approach:

  1. Assume an initial guess for the concentration of HO3-.
  2. Use the acid dissociation constants to express the concentrations of other phosphate species.
  3. Iteratively solve the system until the concentrations converge.

The pH is then calculated from the hydrogen ion concentration using:

pH = -log[H+]

Worked Example

For a 0.350 M solution of H3PO4, the concentration of HO3- is approximately 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000