The arrangement of the anions around a cation is called the geometry of the cation; e.g. in [CuCl4]2- the geometry of copper is tetrahedral and the co-ordination number of copper is 4. The geometry of a cation in an ionic compound can be predicted from the ratio of the ionic radii of the cation and anion involved. [Table 5.1: Cation radius/anion radius vs. geometry of cation] Use data from the Data Booklet to predict the geometry of, and hence the co-ordination number of, the cation for
- (a)(i)• sodium chloride, NaCl, geometry of Na⁺ = ................................. co-ordination number of Na⁺ = ................................[2]
- (a)(ii)• magnesium chloride, MgCl2. geometry of Mg²⁺ = ................................ co-ordination number of Mg²⁺ = ................................[2]
- (b)Magnesium(I) chloride, MgCl, is an unstable compound and readily decomposes as shown. 2MgCl(s) → Mg(s) + MgCl2(s) Use the following data to calculate the enthalpy change of this reaction. ΔHf MgCl(s) = −106 kJ mol⁻¹ ΔHf MgCl2(s) = −642 kJ mol⁻¹[1]
- (c)(i)The equation for which ∆H is the lattice energy for MgCl is shown. Mg⁺(g) + Cl⁻(g) → MgCl(s) Use the equation, the following data, and relevant data from the Data Booklet to calculate a value for the lattice energy of MgCl. You might find it helpful to construct an energy cycle. electron affinity of Cl(g) = -349 kJ mol⁻¹ enthalpy change of atomisation of Mg(s) = +147 kJ mol⁻¹ enthalpy change of formation of MgCl(s) = −106 kJ mol⁻¹[3]
- (c)(ii)Suggest how the lattice energies of MgCl2 and NaCl will compare to that of MgCl. Explain your answers.[3]
- (d)Define the term electron affinity.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [1] (Na⁺) 0.095/0.181 = 0.525 and octahedral and co-ordination no. = 6
- [1] (Mg²⁺) 0.065 / 0.181 = 0.359 and tetrahedral and co-ordination no. = 4
- [1] enthalpy change = (-642) – (2 × −106) = -430
- [1] -106 = 147 + 121 + 736 + (–349) + lattice energy
- [1] lattice energy = -761
- [1] MgCl2 more exothermic/negative / bigger than MgCl and NaCl more exothermic / negative / bigger than MgCl
- [1] (reason for MgCl2) higher charge / lower radius of Mg²⁺ cation
- [1] (reason for NaCl) smaller radius of Na⁺ cation
- [1] energy change when 1 mole of atoms / ions each gain an electron
- [1] or energy change when 1 mole of atoms / ions gain 1 mole of electrons
- [1] gaseous
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