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O ACIDS, BASES AND AQUEOUS EQUILIBRIA Calculating the pH of a weak base titrated

ID: 555834 • Letter: O

Question

O ACIDS, BASES AND AQUEOUS EQUILIBRIA Calculating the pH of a weak base titrated with a strong acid An analytical chemist is titrating 242.2 mL of a 0.6400 M solution of piperidine (C^Hi0NH) with a 0.6000 M solution of HIO3. The p K, of piperidine is 2.89 Calculate the pH of the base solution after the chemist has added 285.4 mL of the HIO3 solution to it. Note for advanced students: you may assume the final volume equals the initial volume of the solution plus the volume of HIO solution added Round your answer to 2 decimal places.

Explanation / Answer

we have:

Molarity of HIO3 = 0.6 M

Volume of HIO3 = 285.4 mL

Molarity of C5H10NH = 0.64 M

Volume of C5H10NH = 242.2 mL

mol of HIO3 = Molarity of HIO3 * Volume of HIO3

mol of HIO3 = 0.6 M * 285.4 mL = 171.24 mmol

mol of C5H10NH = Molarity of C5H10NH * Volume of C5H10NH

mol of C5H10NH = 0.64 M * 242.2 mL = 155.008 mmol

We have:

mol of HIO3 = 171.24 mmol

mol of C5H10NH = 155.008 mmol

155.008 mmol of both will react

excess HIO3 remaining = 16.232 mmol

Volume of Solution = 285.4 + 242.2 = 527.6 mL

[H+] = 16.232 mmol/527.6 mL = 0.0308 M

we have below equation to be used:

pH = -log [H+]

= -log (3.077*10^-2)

= 1.5119

PH = 1.51

Answer: PH = 1.51

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