7.7.2 Energetics

QUESTIONS

Section A

1        The Born-Haber cycle for sodium chloride is represented below:

 

                           Na+(g)  +  Cl(g)

                            

                                                                z       Na+(g)  +  Cl-(g)

                   y          Na+(g)  +  ½ Cl2(g)

                                                                           

                      x Na(g)  +  ½ Cl2(g)                                                u

                                     

                         w               Na(s)  +  ½ Cl2(g)

                                                  v                                   NaCl(s)

 


          Which one of the following statements is correct?

 

          A   The bond dissociation energy of chlorine is y.

          $B   The electron affinity of chlorine is z.

          C   The first ionisation energy of sodium is w.

          D   The lattice energy of sodium chloride is v.

 

2               The reactions represented by the following equations are part of the Born-Haber cycle for sodium bromide. Which one of the reactions is exothermic?

 

A  Na (s)                                  Na (g)

B  Na (g)                                  Na+ (g)  +  e-

$C  Br (g)  +  e-                           Br- (g)

D  Br2(g)                                  2Br(g)

 

 

Section B

1.   Lithium chloride is formed from lithium (atomic number 3) and chlorine (atomic number 17).  Its lattice energy may be calculated from a Born-Haber cycle using the following experimental data.

                                                                                                                           DH/kJ mol-1

                           First ionisation energy of lithium                                               = +520

                           Heat of atomisation of lithium                                                   = +159

                           Heat of formation of lithium chloride                                        = -409

                           Heat of atomisation of chlorine per mole of chlorine atoms        = +122

                           Electron affinity of chlorine atoms                                           = -349

 

     (a)    Using the usual chemical symbols, the state symbols (s), (1), (g) and the symbol for an electron, e-, write an equation in each case to define the following terms.

 

(i)                 The first ionisation energy of lithium

 

                                                                                                                                              

 

(ii)               The second ionisation energy of lithium.

 

                                                                                                                                              

 

(iii)             The heat of formation of lithium chloride.

 

                                                                                                                                     

 

(iv)              The electron affinity of chlorine.

 

                                                                                                                                              

 

(v)            The lattice energy of lithium chloride.

 

                                                                                                                                              

                                                                                                                                     [5]

(b)

(i)                 Construct a labelled Born-Haber cycle for the formation of lithium chloride.

 

 

 

 

 

 

 

 

 

 

                                                                                                                                     [6]

 

(ii)               Using the constructed Born-Haber cycle, or any other method, calculate the lattice energy of lithium chloride.

 

 

 

 

 

 

 

 

 

 

 

                                                                     kJ mol-1

                                                                                                                                     [2]

(c)     The lattice enthalpies for sodium chloride, potassium chloride and potassium bromide are + 780, +710 and +680 kJ mol-1 respectively.  Comment on these results and that for lithium chloride.

                                                                                                                                              

 

                                                                                                                                              

 

                                                                                                                                              

 

                                                                                                                                              

 

                                                                                                                                              

 

                                                                                                                                              

                                                                                                                                     [4]

                                                                                                                            NI98S