Calcium chloride, CaCl₂, is an ionic solid. The values of some energy changes are shown in Table 1.1. Table 1.1 energy change | value/kJ mol⁻¹ lattice energy, ∆H°latt, CaCl₂(s) | -2237 standard enthalpy change of atomisation of calcium | +193 first ionisation energy of calcium | +590 second ionisation energy of calcium | +1150 standard enthalpy change of atomisation of chlorine | +121 first electron affinity of chlorine | -364
- (a)Define lattice energy. [1][1]
- (b)Use the data in Table 1.1 to calculate the standard enthalpy change of formation, ∆H°f, of calcium chloride. It may be helpful to draw an energy cycle. Show all your working. ΔH°f(CaCl₂(s)) = ...................................... kJ mol⁻¹ [2][2]
- (c)Three possible values for the first electron affinity of bromine are shown in Table 1.2. One of them is correct. Place a tick by the correct value. Explain your choice. Table 1.2 possible values | place one tick (✓) in this column -342 kJ mol⁻¹ | -364 kJ mol⁻¹ | -386 kJ mol⁻¹ | explanation [1][1]
- (d)The enthalpy change of hydration of the chloride ion can be calculated using the lattice energy of calcium chloride and the data shown in Table 1.3. Table 1.3 energy change | value/kJmol⁻¹ standard enthalpy change of solution of CaCl₂(s) | -83 standard enthalpy change of hydration of Ca²⁺(g) | -1650
- (d)(i)Define the following terms. enthalpy change of solution enthalpy change of hydration [2][2]
- (d)(ii)Calculate the standard enthalpy change of hydration of the chloride ion, Cl⁻(g). It may be helpful to draw an energy cycle. Show all your working. ∆Hyd(Cl⁻(g)) = ...................................... kJ mol⁻¹ [2][2]
- (e)Calcium fluoride, CaF₂(s), can be synthesised directly from its elements. The value of ∆H°f(CaF₂(s)) is –1214kJmol⁻¹.
- (e)(i)Predict the sign of the entropy change, ∆S°, for this synthesis. Explain your answer. The sign of the entropy change is .............................................................. explanation [1][1]
- (e)(ii)Use the value of ∆H°f(CaF₂(s)) given in (e) and your answer to (e)(i) to predict how the feasibility for this synthesis will change with increasing temperature. [2][2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [1] (energy change) when one mole of ionic solid is formed from gaseous ions
- [1] (-2237 + 193 + 590 + 1150 + (2 × 121) – (2 × 364))
- [1] = -790
- [1] -342 and Br atom has larger radius
- [1] energy change when one mole dissolves in water
- [1] energy change when one mole of gaseous ions dissolves in water
- [1] (-2237 – 83 + 1650)/2
- [1] = -335
- [1] negative and reduction in number of gas molecules
- [1] T∆S becomes more negative
- [1] less feasible AND ∆G becomes positive
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