PH of solution from mixing four solutions

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SUMMARY

The pH of the solution resulting from mixing 150 ml of 0.250M NaCl, 300 ml of 0.200M HCl, 100 ml of 0.050M HNO3, and 450 ml of 0.200M NaOAc is calculated to be 8.57. The strong acids HCl and HNO3 contribute a total of 0.065 mol of hydronium ions, while NaOAc, a weak base, contributes 0.09 mol. Upon reaction, the remaining NaOAc concentration is 0.025M, leading to the formation of acetic acid, which must be considered in the pH calculation. The final pH does not match the provided answer choices, indicating a potential oversight in the calculations.

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Homework Statement


What is the pH of the solution that results from mixing the following four solutions together:
(i) 150 ml of 0.250M NaCl
(ii) 300 ml of 0.200M HCl
(iii) 100 ml of 0.050M HNO3
(iv) 450ml of 0.200M NaOAc


Homework Equations





The Attempt at a Solution


Firstly, NaCl does not contribute to the pH of the solution.
HCl and HNO3 are both strong acids and contribute 0.065 mol of hydronium.
There are also 0.09 mol of NaOAc (weak base) in the solution.
The hydronium reacts with NaOAc, resulting in 0.025 mol of NaOAc in a 1L solution (0.025M NaOAc).

Setting up an ICE table for acetate and acetic acid and using Kb for acetate is equal to 5.56x10-10 i worked out that the concentration of OH was 3.73x10-6.
Then -log[OH] resulting in pOH of 5.43,
pH of 8.57

However, my answer is not in the choices that are given to me.
choices:
4.22
4.33
2.74
4.98
5.16

can anyone help?
thanks
 
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0.065M of hydronium
0.09M of NaOAc

Once they react, you have a solution containing both acetic acid and its conjugate base. Such a solution has a name and its pH is described by specific equation. ICE table is useless here.
 
Thanks.
I had completely forgotten about the acetic acid that forms.
 

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