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2. Calculate the Ka for a 0.50M weak acid solution that has a pH equal to 4.15.2.33 x 10-93.21 x 10-71.00 x 10-87.59 x 10-8

Question

  1. Calculate the Ka for a 0.50M weak acid solution that has a pH equal to 4.15.2.33 x 10-93.21 x 10-71.00 x 10-87.59 x 10-8
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Solution

The question seems to be a bit jumbled, but I'll try to answer it based on what I understand.

The question is asking to calculate the Ka (acid dissociation constant) for a 0.50M weak acid solution that has a pH of 4.15.

Here are the steps to calculate the Ka:

  1. First, we need to calculate the concentration of H+ ions using the pH value. The formula to calculate the concentration of H+ ions is: [H+] = 10^-pH. So, [H+] = 10^-4.15 = 7.079 x 10^-5 M.

  2. The formula for Ka is [H+][A-]/[HA]. In a weak acid solution, the concentration of H+ ions ([H+]) is equal to the concentration of A- ions ([A-]) and the initial concentration of the weak acid ([HA]) is equal to the molarity of the solution.

  3. Since the weak acid only partially ionizes, the concentration of HA at equilibrium will be the initial concentration minus the concentration of H+ ions. So, [HA] = 0.50 M - 7.079 x 10^-5 M = 0.50 M (since 7.079 x 10^-5 M is very small compared to 0.50 M, it can be ignored).

  4. Substituting the values into the Ka formula, we get Ka = (7.079 x 10^-5 M)(7.079 x 10^-5 M) / 0.50 M = 1.00 x 10^-8.

So, the Ka for the weak acid solution is 1.00 x 10^-8.

This problem has been solved

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