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How many moles of NaOH or HCl should be added to 1.00 L of 0.0192 mol L−1 HF(aq) to produce a solution with a pH of 3.70 ? Assume the temperature is 25 °C. For HF, pKa = 3.18 at 25 °C.For the moles of NaOH or HCl added, enter a number accurate to 3 significant figures. To produce a solution of the desired pH:    Add   moles of Click for List  .

Question

How many moles of NaOH or HCl should be added to 1.00 L of 0.0192 mol L−1 HF(aq) to produce a solution with a pH of 3.70 ? Assume the temperature is 25 °C. For HF, pKa = 3.18 at 25 °C.For the moles of NaOH or HCl added, enter a number accurate to 3 significant figures. To produce a solution of the desired pH:    Add   moles of Click for List  .

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Solution

To solve this problem, we need to use the Henderson-Hasselbalch equation, which is pH = pKa + log([A-]/[HA]). In this case, HF is the weak acid (HA) and F- is its conjugate base (A-).

Step 1: Calculate the initial moles of HF The initial concentration of HF is given as 0.0192 mol/L. Since the volume is 1.00 L, the initial moles of HF is 0.0192 mol * 1.00 L = 0.0192 mol.

Step 2: Use the Henderson-Hasselbalch equation to find the ratio of [A-]/[HA] We know that pH = pKa + log([A-]/[HA]). We can rearrange this to find [A-]/[HA] = 10^(pH - pKa) = 10^(3.70 - 3.18) = 3.311.

Step 3: Calculate the moles of A- and HA needed We know that the ratio of [A-]/[HA] is 3.311. This means that for every 1 mole of HA, we need 3.311 moles of A-. Since we initially have 0.0192 mol of HA, we need 0.0192 mol * 3.311 = 0.0636 mol of A-.

Step 4: Determine the moles of NaOH or HCl needed To increase the amount of A-, we can add NaOH. The reaction is HF + NaOH -> NaF + H2O. From this, we can see that 1 mole of NaOH will produce 1 mole of F-. Therefore, we need to add 0.0636 mol of NaOH.

To decrease the amount of HA, we can add HCl. The reaction is HF + HCl -> H2O + NaCl. From this, we can see that 1 mole of HCl will remove 1 mole of HF. Therefore, we need to add 0.0636 mol of HCl.

So, to produce a solution with a pH of 3.70, we need to add 0.0636 moles of NaOH or HCl.

This problem has been solved

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