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Multiple Choice
Consider 100 mL of a 1M acid solution (pK a = 7.4) at pH = 8. Calculate final pH if 30 mL of 1M HCl is added.
A
pH = 7.4
B
pH = 7.9
C
pH = 7.1
D
pH = 8.2
Verified step by step guidance
1
Identify the initial conditions: You have 100 mL of a 1M acid solution with a pKa of 7.4 and an initial pH of 8.0.
Determine the moles of acid and base present initially: Since the solution is at pH 8, which is above the pKa, the solution is more in the deprotonated (A-) form. Use the Henderson-Hasselbalch equation to find the ratio of [A-] to [HA].
Calculate the moles of HCl added: 30 mL of 1M HCl corresponds to 0.03 moles of HCl. This will react with the deprotonated form (A-) of the acid.
Adjust the moles of A- and HA: The added HCl will convert some of the A- back to HA. Subtract the moles of HCl from A- and add them to HA.
Recalculate the pH using the Henderson-Hasselbalch equation: With the new concentrations of HA and A-, use the equation pH = pKa + log([A-]/[HA]) to find the new pH of the solution.