How many moles of solid NaF would have to be added to 1.0 L of 1.78 M HF solution to achieve a buffer of pH 3.35? Assume there is no volume change. (Ka for HF = 7.2 10-4)

Respuesta :

Explanation:

First, we will calculate the number of moles of HF as follows.

  No. of moles of HF = volume × concentration of HF

                         = [tex]1.0 L \times 1.78 M[/tex]

                         = 1.78 mol

According to Henderson-Hasselbalch equation,

 pH = [tex]pK_{a} + log (\frac{[NaF]}{[HF]})[/tex]                  

     = [tex]-log K_{a} + log (\frac{\text{moles of NaF}}{\text{moles of HF}})[/tex]

Since, no change in the volume is taking place. Hence, putting the given values into the above formula as follows.

pH = [tex]-log K_{a} + log (\frac{\text{moles of NaF}}{\text{moles of HF}})[/tex]

[tex]3.35 = -log (7.2 \times 10^{-4}) + log (\frac{\text{moles of NaF}}{1.78})[/tex]

 [tex]log (\frac{\text{moles of NaF}}{1.78})[/tex] = 0.208

    [tex](\frac{\text{moles of NaF}}{1.78})[/tex] = 1.614

       moles of NaF = 2.87 mol

Thus, we can conclude that moles of solid NaF present are 2.87 mol.

The moles of solid NaF present are 2.87 mol.

Calculation for moles of HF:

No. of moles of HF = volume × concentration of HF

No. of moles of HF= 1.0 L* 1.78 M

No. of moles of HF = 1.78 mol

According to Henderson-Hasselbalch equation,

pH = pKa + log ([NaF] / [HF])

pH = pKa + log ([Moles of NaF] / [Moles of HF])

There is no change in the volume is taking place.

On substituting the values:

pH = pKa + log ([Moles of NaF] / [Moles of HF])

3.35 = -log ([tex]7.2*10^{-4}[/tex]) +  log ([Moles of NaF] / [1.78])

log ([Moles of NaF] / [1.78]) = 0.208

([Moles of NaF] / [1.78]) = 1.614

Moles of NaF = 2.87 mol

Thus, the moles of solid NaF present are 2.87 mol.

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