The hydrated aluminium ion has Ka = 1.4 x 10^-5. What is the pH of 0.10 M aluminium chloride?
ApH = 1.00
BpH = 5.85
CpH = 3.92
DpH = 2.92
Answer & Solution
Correct answer: D. pH = 2.92
1. Aluminium chloride dissolves completely to give the hydrated aluminium ion.
2. That ion acts as a weak acid, so this is an ordinary weak acid calculation.
3. Let x be the hydronium concentration formed from a start of 0.10 M.
4. Assume x is small: x squared = 0.10 x 1.4 x 10^-5 = 1.4 x 10^-6.
5. Take the square root: x = 1.2 x 10^-3 mol per litre.
6. That is about 1 percent of 0.10, so the assumption is sound.
7. Take the negative logarithm: pH = 2.92, which is clearly acidic.
8. Treating the salt as a strong acid would give pH 1.00, the first distractor.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 14 "Acid-Base Equilibria", section 14.4 Hydrolysis of Salt Solutions_
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