Question 126 marks
Question
Potassium iodide, KI, is used as a reagent in both inorganic and organic chemistry. (a) KI forms an ionic lattice that is soluble in water. (i) Define enthalpy change of solution, ΔHsol. …… [1] (ii) KI(s) has a high solubility in water although its enthalpy change of solution is endothermic. Explain how this high solubility is possible. …… [2] (b) Table 1.1 gives some data about the halide ions, Cl –, Br – and I–, and their potassium salts. Table 1.1 enthalpy change of hydration, lattice energy of potassium halide, halide ion ΔHhyd / kJ mol–1 ΔHlatt / kJ mol–1 Cl – –364 –701 Br – –335 –670 I– –293 –629 (i) Explain the trend in the enthalpy change of hydration of the halide ions. …… [2] (ii) The ΔHsol values of these potassium halides are almost constant. Use the ΔHhyd and ΔHlatt data in Table 1.1 to suggest why. …… [1] (iii) The enthalpy change of solution of KI(s) is +21.0 kJ mol–1. Use this information and the data in Table 1.1 to calculate the enthalpy change of hydration of the potassium ion, K+(g). ΔHhyd of K+(g) = …… kJ mol–1 [1] (iv) Solid PbI2 forms when KI(aq) is mixed with Pb2+(aq) ions. The solubility product, Ksp, of PbI2 is 7.1 × 10–9 mol3 dm–9 at 25 °C. Calculate the solubility, in mol dm–3, of PbI2(s). solubility of PbI2(s) = ……mol dm–3 [2] (v) The ionic radius of Pb2+ is 0.120 nm compared to 0.133 nm for K+. o o Suggest how the ΔH latt of PbI2(s) differs from ΔH latt of KI(s). Explain your answer. …… [2] (c) KI slowly oxidises in air, forming I2. reaction 1 4KI(s) + 2CO2(g) + O2(g) 2K2CO3(s) + 2I2(s) ΔH o = –203.4 kJ mol–1 Table 1.2 shows some data relevant to this question. Table 1.2 standard entropy, substance S o / J K–1 mol–1 CO2(g) 213.6 I2(s) 116.1 K2CO3(s) 155.5 KI(s) 106.3 O2(g) 205.2 (i) Calculate the standard entropy change, ΔS o , of reaction 1. ΔS o = …… J K–1 mol–1 [2] (ii) Use your answer to (c)(i) to show that reaction 1 is spontaneous at 298 K. [2] (iii) The Group 1 carbonates are much more thermally stable than the Group 2 carbonates. State and explain the trend in the thermal stability of the Group 2 carbonates. …… [2] (d) A student electrolyses a solution of KI(aq) for 8 minutes using a direct current. The half-equation for the reaction that occurs at the anode is given. 2I–(aq) I2(aq) + 2e– (i) Write a half-equation for the reaction that occurs at the cathode. Include state symbols. …… [1] (ii) After the electrolysis, the I2(aq) produced requires 21.35 cm3 of 0.100 mol dm–3 Na2S2O3(aq) to react completely. I2(aq) + 2Na2S2O3(aq) 2NaI(aq) + Na2S4O6(aq) Calculate the average current used in 8 minutes during the electrolysis. current = ……A [3] (e) KI is used as a source of I– ions in organic synthesis. One example of this is shown in the synthetic route in Fig. 1.1. A B C step 1 step 2 NO2 NH2 NaNO2 and HCl step 3 D N2 step 4 I E + N2 I Fig. 1.1 (i) Identify the reagents required for steps 1 and 2. step 1 …… step 2 …… [2] (ii) Step 3 occurs in two stages. stage I NaNO2 and HCl undergo an acid–base reaction to produce HNO2. stage II HNO2 reacts with C, C6H5NH2, to produce D, C6H5N2+. Complete the equations for stage I and for stage II. stage I NaNO2 + HCl …… stage II …… [2] (iii) The I– from KI reacts with D in step 4. The mechanism is shown in Fig. 1.1. Suggest the name for this mechanism. …… [1] [Total: 26]
Mark scheme
1(a)(i) (enthalpy change when) one mole of a substance / solute 1 AND dissolves in water / turns into an aqueous solution (to form a solution of infinite dilution) 1(a)(ii) there is a (large) increase in entropy OR ΔS is positive OR TΔS is positive 1 so ΔG is negative / TΔS outweighs ΔH 1 1(b)(i) anionic charge density decreases (down the group / Cl – to I–) 1 (so hydration enthalpies become less negative / less exothermic because) 1 less attraction of ion to water / the dipole–ion force weakens 1(b)(ii) the difference between ΔHlatt and ΔHhyd remains roughly constant 1 OR ΔHlatt and ΔHhyd become less exothermic by a similar amount 1(b)(iii) ΔHhyd(K+(g)) = –629 + 21.0 –(–293) = –315 kJ mol–1 1 1(b)(iv) solubility of PbI2 = 7.1 × 10–9 = x·(2x)2 ∴ x = ∛(¼ × 7.1 × 10–9) 1 solubility of PbI2 = 1.21 × 10–3 mol dm–3 min 2sf 1 1(b)(v) • Pb2+ has a greater charge 2 • Pb2+ is smaller (than K+) OR (Pb2+) smaller ionic radius • greater attraction between Pb2+ and I– OR ionic bond between Pb2+ and I– is stronger OR lattice energy is more exothermic / more negative mark as ✓ ✓ 1(c)(i) ΔS = 2(155.5) + 2(116.1) – 4(106.3) – 2(213.6) – 205.2 1 ΔS = –514.4 (J K–1 mol–1) min 3sf ECF 1 1(c)(ii) ΔG = ΔH – TΔS AND use of 298 K for T OR clear working to represent this 1 ΔG = –203.4 – 298(–514.4 / 1000) ΔG = –50.1 OR –50.2 (kJ mol–1) OR ΔG = –50 108.8 J min 3sf ECF from (c)(i) 1 (negative so spontaneous) 1(c)(iii) increases (in thermal stability down the group) 1 AND (cat)ionic radius / ion size increases (down the group) less polarisation of anion / C—O bond / distortion of carbonate ion / CO32– 1 OR C–O is less weakened / stronger (down the group) 1(d)(i) 2H+(aq) + 2e– → H2(g) state symbols required 1 1(d)(ii) 21.35 1 M1 moles of S2O32– = × 0.100 = 2.135 × 10–3 1000 M2 calc of Q = 2.135 × 10–3 × 0.5 × 2 × 96500 = 206.02 / 205.68 ECF 1 M3 = answer I = 206 / (8 × 60) = 0.428 OR 0.429 A min 2sf ECF 1 1(e)(i) reaction 1 concentrated HNO3 AND concentrated H2SO4 (concentrated seen once) 1 reaction 2 Sn AND (concentrated) HCl 1 1(e)(ii) step 1 NaNO2 + HCl → HNO2 + NaCl 1 step 2 C6H5NH2 + HNO2 + H+ → C6H5N2+ + 2H2O 1 1(e)(iii) nucleophilic (aromatic) substitution 1