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Section 1.1 Section 1.2 Section 1.3 - The Student Room

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SECTION 4<br />

<strong>Section</strong> 4.4<br />

1 <strong>The</strong> entropies increase for the first four alkanes as the<br />

molecules become heavier and composed of more atoms<br />

(the number of energy levels increases with the number<br />

of atoms). Pentane is a liquid and so has a lower entropy<br />

than butane.<br />

2 a Entropy decrease, because the number of moles of gas<br />

is reduced by half as reaction proceeds.<br />

b Entropy increase; the number of moles of gas doubles<br />

during the reaction and a solid has much lower<br />

entropy than a gas.<br />

c Entropy decrease; 2 moles of gaseous reactants are<br />

replaced by 1 mole of solid.<br />

d Entropy decrease; 5 moles of gaseous oxygen are<br />

removed, the only product is a solid.<br />

e Entropy increase; 5 moles of gaseous product are<br />

formed.<br />

<strong>Section</strong> 4.5<br />

1 a When 1 mole of sodium fluoride is formed from 1 mole<br />

of Na + (g) and 1 mole of F – (g), 915 kJ mol –1 of energy are<br />

released. This is the lattice enthalpy of sodium fluoride.<br />

b <strong>The</strong> lattice enthalpy becomes more negative as the<br />

ionic radii decrease.<br />

2 a LiF; Li + has a smaller radius than Na + and attracts F –<br />

ions more strongly.<br />

b Na 2<br />

O; Na + has a smaller radius than Rb + and attracts<br />

O 2– more strongly.<br />

c MgO; Mg 2+ is smaller and more highly charged than<br />

Na + , and attracts O 2– more strongly.<br />

d KF; F – has a smaller radius than Cl – and attracts K +<br />

more strongly.<br />

3 a SrF 2<br />

; Sr 2+ is smaller and more highly charged than Rb +<br />

and will attract F – more strongly.<br />

b By the same arguments as in a, BaO should have the<br />

more exothermic lattice enthalpy.<br />

c Cu 2+ is more highly charged than Cu + , so CuO should<br />

have the more exothermic lattice enthalpy.<br />

4 a Li + attracts water molecules more strongly than Na +<br />

because of its smaller size.<br />

b Mg 2+ attracts water molecules more strongly than<br />

Ca 2+ because of its smaller size.<br />

c Ca 2+ and Na + have similar sizes, but Ca 2+ is more highly<br />

charged and so attracts water molecules more strongly.<br />

5 a <strong>The</strong> ions in the lattice attract each other less strongly<br />

as the size of the anion increases from F – to Cl – .<br />

b DH hyd<br />

becomes less exothermic as the anion becomes<br />

bigger and attracts water molecules less strongly.<br />

c<br />

AgF(s) + aq<br />

–DH LE<br />

DH solution<br />

Ag + (g) + F – (g) + aq<br />

Ag + (aq) + F – (aq)<br />

DH hyd<br />

(Ag + )<br />

+<br />

DH hyd<br />

(F – )<br />

3 <strong>Student</strong>s’ answers should be based on the following<br />

deductions.<br />

a<br />

b<br />

c<br />

d<br />

e<br />

DS sys<br />

DS surr<br />

Explanation<br />

/J K –1 mol –1 /J K –1 mol –1<br />

+203 –44 Spontaneous: total<br />

entropy change positive<br />

+63 +329 Spontaneous: total<br />

entropy change positive<br />

+25 –604 Not spontaneous: total<br />

entropy change negative<br />

+209 +416 Spontaneous: total<br />

entropy change positive<br />

–4 –6.7 Not spontaneous: total<br />

entropy change negative<br />

4 Values for both DS sys<br />

and DS surr<br />

are negative. <strong>The</strong>refore<br />

DS total<br />

must always be negative, whatever value of T is<br />

chosen, and the process can never be spontaneous.<br />

Enthalpy<br />

AgCl(s) + aq<br />

–DH LE<br />

DH solution<br />

Ag + (g) + Cl – (g) + aq<br />

Ag + (aq) + Cl – (aq)<br />

DH hyd<br />

(Ag + )<br />

+<br />

DH hyd<br />

(Cl – )<br />

Both silver halides have endothermic enthalpy<br />

changes of solution and the enthalpy level diagrams<br />

will have the form shown below.<br />

–DH LE<br />

AgX(s) + aq<br />

Ag + (g) + X – (g) + aq<br />

Ag + (aq) + X – (aq)<br />

DH solution<br />

d DH solution<br />

= –DH LE<br />

+ DH hyd<br />

(Ag + ) + DH hyd<br />

(X – )<br />

DH solution<br />

(AgF) = +6 kJ mol –1 ;<br />

DH solution<br />

(AgCl) = +95 kJ mol –1<br />

DH hyd (Ag + )<br />

+<br />

DH hyd (X – )<br />

e AgF may be soluble in water. AgCl will be insoluble.<br />

6 a Mg(OH) 2<br />

+ 152 kJ mol –1<br />

Ca(OH) 2<br />

+ 7 kJ mol –1<br />

b Ca(OH) 2<br />

: enthalpy change of solution much less<br />

endothermic.<br />

c Entropy changes of the processes.<br />

171

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