(a) Define Kw mathematically by completing the expression. Kw = (b) Two solutions, V and W, are described. • V is HCl(aq). • W is NaOH(aq). • The concentration of HCl in V is the same as the concentration of NaOH in W. • The pH values of V and W differ by exactly 11.00 at 298 K.
- (a)Define Kw mathematically by completing the expression. Kw = ....................................................................................................................................................[1]
- (b)(i)Calculate the concentration of HCl in V. concentration of HCl in V = ........................................ moldm⁻³[2]
- (b)(ii)Equal volumes of the two solutions V and W are mixed, giving solution X. Name solution X and state its pH. solution X ..................................................... pH .....................................................[1]
- (b)(iii)A 1 cm³ sample of 1.0 moldm⁻³ HNO3 is added to 100 cm³ of solution X, forming mixture Y. A 1 cm³ sample of 1.0 moldm⁻³ KOH is added to 100 cm³ of solution X, forming mixture Z. Estimate the pH of mixtures Y and Z. No calculations are required. mixture Y ..................................................... mixture Z .....................................................[1]
- (c)(i)CH3CH2COOH, CH3CCl2COOH and H2SO4 are all acidic. Suggest the trend in the relative acid strength of these three compounds. Explain your answer. strongest acid ................................................................................................. weakest acid explanation ..................................................................................................................................................................... ..................................................................................................................................................................... .....................................................................................................................................................................[3]
- (c)(ii)When concentrated H2SO4 is added to water a series of acid-base reactions occurs. There are three conjugate acid-base pairs that can be identified during this series of reactions. Write the formulae of these three conjugate acid-base pairs. conjugate acid 1 .............................................. conjugate base 1 .............................................. conjugate acid 2 .............................................. conjugate base 2 .............................................. conjugate acid 3 .............................................. conjugate base 3 ..............................................[2]
- (d)(i)The partition coefficient, Kpc, of a substance, Q, between hexane and water is 7.84 at 298 K. Q is more soluble in hexane than it is in water. Define partition coefficient, Kpc.[1]
- (d)(ii)5.00 g of Q is shaken with a mixture of 100.0 cm³ of water and 100.0 cm³ of hexane at 298 K and left until there is no further change in concentrations. Calculate the mass of Q dissolved in the water. mass of Q = .............................................. g[1]
- (d)(iii)A sample of Q is shaken with a different mixture of water and hexane and left until there is no further change in concentrations. It is found that the mass of Q dissolved in each solvent is the same. Use the Kpc value to suggest possible values for the volume of water used and the volume of hexane used. volume of water = .............................................. cm³ volume of hexane = .............................................. cm³[1]
- (d)(iv)Q is more soluble in hexane than it is in water. It is suggested that Q is one of KCl, CH3(CH2)4OH or HCOOH. Identify Q. Explain your answer.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [1] (Kw =)[H+][OH–] OR (Kw =)[H3O+][OH-]
- [1] M1: pH values 1.5 AND 12.5
- [1] M2: conc of HCl = 10–1.5 = 0.0316 ecf min 2sf
- [1] sodium chloride / NaCl AND 7
- [1] (mixture Y) 1 to 3 AND (mixture Z) 11 to 13
- [1] H2SO4 > CH3CCl2COOH > CH3CH2COOH u/c
- [1] explanation: H2SO4 is fully dissociated / strong acid
- [1] explanation: CH3CH2COOH / CH3CCl2COOH are partly dissociated / weak acids
- [1] explanation: Cl/ chlorine is electron-withdrawing / electronegative
- [1] explanation: alkyl group (in CH3CH2COOH) is electron donating
- [1] explanation: stabilises / destabilises anion OR weakens / strengthens O-H bond (linked correctly)
- [1] explanation: correct reference to release of/donation of/ form H+ / proton
- [1] H3O+ and H2O
- [1] H2SO4 and HSO4-
- [1] HSO4- and SO42-
- any one correct pair [1]
- all three correct pairs [2]
- [1] (the) ratio of the concentrations (of a solute between) two solvents / two liquids (at) equilibrium
- [1] mass = 5-x/x = 7.84 OR mass = x/ 5-x = 7.84 mass = 0.5656 g mass = 4.43 g min 2sf
- [1] Any numbers in which volume of water is 7.84 times volume of hexane e.g. 78.4 cm³ water 10 cm³ hexane u/c ALLOW reverse ratio volume of hexane is 7.84 times volume of water when consistent with d(ii)
- [1] Q is CH3(CH2)4OH AND it is least polar / contains a large non-polar hydrocarbon chain / stronger id-id forces with hexane in Q OWTTE
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