Answer:
pH = 3,38
Explanation:
The reaction of HNO₃ with NaF is:
HNO₃ + NaF → HF + NaNO₃
If you have 1L of 0,120M NaF, moles of NaF are 0,120 moles. These moles reacts with 0,020 mol of HNO₃ to produce 0,020 moles of HF. That means the final concentrations of HF and NaF are:
HF: 0,100mol + 0,020 mol = <em><u>0,120 mol</u></em>
NaF: 0,120mol - 0,020 mol = <em><u>0,100 mol</u></em>
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Now, to obtain the pH of this buffer (Weak acid + conjugate base) you can use Henderson-Hasselblach formula:
pH = pka + log₁₀ [NaF] / [HF]
Replacing:
pH = 3.46 + log₁₀ [0,100] / [0,120]
<em>pH = 3.38</em>
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I hope it helps!