Give the mathematical expression for each of the terms pH and Kw.
- (a)(i)Give the mathematical expression for each of the terms pH and Kw.[2]
- (a)(ii)Calculate the pH of 0.027 moldm⁻³ NaOH(aq).[1]
- (b)The Ka value of chloric(I) acid, HClO, is 3.72 × 10⁻⁸ moldm⁻³. Calculate the pH of 0.010 moldm⁻³ HClO(aq).[1]
- (c)(i)Water and octan-1-ol form two layers when mixed. Ethanamide is more soluble in water than it is in octan-1-ol. When 1.00g of ethanamide is added to 50.0 cm³ of water and this is then shaken with 50.0 cm³ of octan-1-ol, it is found that the water layer contains 0.935 g of ethanamide at equilibrium. Calculate the partition coefficient, Kpc, for ethanamide in water and octan-1-ol.[1]
- (c)(ii)The 50.0 cm³ of water containing 0.935 g of ethanamide is then shaken with 100.0 cm³ of pure octan-1-ol under the same conditions. Calculate the mass of ethanamide that is dissolved in the 100.0 cm³ of octan-1-ol at equilibrium.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] (pH =) -log[H+] OR –lg[H+]
- [1] (Kw =) [H+][OH-]
- [1] [H+] = 1 × 10–14/0.027 = 3.7037 × 10–13
- [1] pH = -log(3.7037 × 10–13)= 12.4 (min 3sf)
- [1] [H+] = √3.72 × 10–8 × 0.010 = 1.9287 × 10–5
- [1] pH = -log(1.9287 × 10–5)= 4.7 (min 2sf)
- [1] Kpc = (0.935/ 50) / (0.065 / 50)
- [1] Kpc = 14.4 (14.38) (min 3sf)
- [1] M1: 14.4 = ((0.935 – x) / 50) / (x / 100) ecf from 4(c)(i)
- [1] M2: x = 0.114 g (min 2sf ecf from M1)
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