
The diagram shows the partial dissociation of a weak acid in aqueous solution

Writing?Ka?expressionsWrite the expression for the following acids:
Answer


Ka?x [HA] = [H+]2
[H+]2?=?Ka?x [HA]
[H+] = √(Ka?x [HA])
pH = -log[H+] = -log√(Ka x [HA])
pH calculations of weak acidsCalculate the pH of 0.100 mol dm-3?ethanoic acid at 298 k with a?Ka?value of 1.74 × 10-5?mol dm-3
Answer
Ethanoic acid is a weak acid which ionises as follows:
CH3COOH (aq) ? H+?(aq) + CH3COO-?(aq)
Step 1:?Write down the equilibrium expression to find?Ka

Step 2:?Simplify the expression
The ratio of H+?to CH3COO-?ions is 1:1
The concentration of H+?and CH3COO-?ions are therefore the same
The expression can be simplified to:

Step 3:?Rearrange the expression to find [H+]

Step 4:?Substitute the values into the expression to find [H+]

= 1.32 x 10-3?mol dm-3
Step 5:?Find the pH
pH = -log[H+]
= -log(1.32 x 10-3)
= 2.88
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