Chemistry, Third edition

(Wang) #1
ANSWERS TO EXERCISES AND REVISION QUESTIONS

12R
(i) 6 (ii) 2 .
12S
(i)A Sodium atom loses its outer shell electron when it
becomes an ion. The positive charge on the ion draws
the remaining electrons closer into the nucleus. A
chlorine atom gains an electron to its outer shell when it
becomes an ion. The negative charge on the ion makes
the electrons ‘spread out’.
(ii)The 2charge on the magnesium ion draws the
electrons closer to the nucleus.
(iii)The greater the negative charge on the ion, the more
the electrons repel each other and ‘spread out’.
Revision questions
12.1 (i)H (ii)X, L or Z (iii)Y or G (iv)X or D
(v)Z, M or K (vi)I (vii)J (viii)H (ix)D
(x)L.
12.2 (i)violently Ra(s) 2H 2 O(l)Ra(OH) 2 (aq)H 2 (g)
(ii)the most thermally stable and insoluble carbonate of
Group 2. The carbonate should decompose to the oxide
and carbon dioxide, on strong heating.
12.3Tin reverts to the crumbly allotrope at low
temperatures.
12.4CS.
12.5 (i)Li 2 O
Li 2 O(s)H 2 O(l)2LiOH(aq)
(ii)NO 2 (iii)BeO.
12.6 (i)ionic (ii)covalent.
12.7 (ii)C (network solid) and Al (strong metallic
bonding).
(iii)Any of H, He, N, O, F, Ne, Ar; London dispersion
forces between simple molecules or atoms.
(iv)Li, Na, Mg or Al. See Unit 5.
(v)Yes. There is a pattern of low boiling points then a
gradual rise to very high boiling point(s), then a drop.
12.8 (i) 6 (ii) 2 (iii)tetraaquadichloronickel(II).
12.9 (i)[Cr(H 2 O) 4 Cl 2 ]+ (ii)[PtBr 6 ]^2 –.
12.10 (i)[H 3 N–Cu–NH 3 ]+linear
(ii)

octahedral.

Unit 13


Exercises
13A

13B
(i)A balanced equation should be also written. Only then
do we know how much sodium and chlorine have
reacted.
(ii)Number of moles of carbon
120 g / 12 g mol–^1 10.
The equation shows that complete combustion of 1 mol
of carbon produces 393.15 kJ of heat. Therefore, the
complete burning of 10 mol of carbon produces
3931.5 kJ of heat energy.

13C
601.7 kJ is required to decompose 2 mol of MgO, so
300.9 kJ is required to decompose 1 mol of MgO.
13D
Eqn (13.14) is obtained by adding eqns (13.12) and
(13.13). By Hess’s law,
H^ —(13.14)H^ —(13.12)H^ —(13.13)
296.8(98.9)395.7 kJ mol–^1
13E
(i)To speed up the reaction so that the reaction was
complete in a short time.
(ii)The number of moles of lead(II) nitrate is
concentration volume
0.10 mol dm–^3 (100/1000)0.010
The number of moles of Zn used 0.007 7 moles. The
equation
Zn(s)Pb^2 +(aq)Zn^2 +(aq)Pb(s)
shows that 1 mol of solid zinc reacts with 1 mol of
Pb^2 +(aq), so that lead(II) nitrate is in excess.
13F
The solutions are dilute and may be assumed to be water
(C4.18 J g–^1 °C–^1 ). Therefore the total mass of water
(1 cm^3 1 g) is 50.0 g 50.0 g 100.0 g.
T23.6017.406.20 °C
Enthalpy change of reactants
mCT100.0 4.18 6.22600 J.
Numbers of moles of HCl initially present is
50.01.000.0500
1000
The number of mol of NaOH initially present is double
this. The reaction
H+(aq)OH–(aq)H 2 O(l)
(H+(aq) from hydrochloric acid, OH–(aq) from sodium
hydroxide) shows that 1 mol of water is produced when 1
mol of acid and 1 mol of alkali react. Therefore, HCl is
the limiting reagent, and the production of 0.0500 mol of
water is accompanied by the production of 2591 J of
heat. When onemole of water is made, the enthalpy
change is

H^1
0.0500^2591  51820 J, or 51.8 kJ mol


  • 1


The accepted value is H—^ f57.3 kJ per mole of water
produced. The most important source of error is caused
by the loss of heat from the calorimeter, which results in
an underestimation of the temperature rise.
13G
To complete the equations, add the elements in their
standard states. The physical states of the elements
and compounds at 298 K should also be included
because we are assuming that H—^ frefers to this
temperature.
H 2 (g)S(s)2O 2 (g)H 2 SO 4 (l)
6C(s)6H 2 (g)3O 2 (g)C 6 H 12 O 6 (s)
13H
(i)2CO(g)O 2 (g)2CO 2 (g)
Using the standard enthalpy data in Table 13.2,
H^ —f(CO 2 (g))393.51 kJ mol–^1 ,
H^ —f(CO(g))110.53 kJ mol–^1 and
H^ —f(O 2 )(g))0 kJ mol–^1. Therefore,
H^ —f[2Hf^ —(CO 2 (g))][2H—^ f(CO(g))H^ —f(O 2 (g))]
[ 2(393.51)][ 2(110.53)0]
565.96 kJ mol–^1
(ii)Fe 2 O 3 (s)3CO(g)2Fe(s)3CO 2 (g)
H^ —f(CO 2 (g))393.51 kJ mol–^1 ;
H^ —f(CO(g)110.53 kJ mol–^1 ;
H^ —f(Fe 2 O 3 )(s)824.2 kJ mol–^1 ;

remember that
H—^ f(Fe(s))0 kJ mol–^1
H—^ f[3H^ —f(CO 2 (g)) 2 H^ —f(Fe(s)]
[3H—^ f(CO(g)H—^ f(Fe 2 O 3 )]
1180.5(1155.8)24.74 kJ mol–^1
(iii)NH 3 (g)^12 – N 2 (g)^3 – 2 H 2 (g)
H—^ f(NH 3 (g))46.11 kJ mol–^1 , and
H—^ f(H 2 (g))0 kJ mol–^1
H—^ f(N 2 (g))0 kJ mol–^1
H—f^ [ 21 – H—f^ (N 2 (g))^32 – H^ —f(H 2 (g))] [H—f^ (NH 3 (g))]
(46.11)46.11 kJ mol–^1
The positive sign shows that energy is absorbed in order
to decompose the molecule.
13I
(i)M(C 12 H 22 O 11 )342 g mol–^1. 5644 kJ of heat is
given out when 342 g of sucrose are completely burned
in oxygen.
Therefore, 1 g of sucrose gives out 5644/342 
16.5 kJ; energy value 16.5 kJ g–^1.
(ii)1 g of H 2 produces 142 kJ of heat. Therefore, the
mass of H 2 that produces 100 kJ of heat is

(^100)  1 0.704 g
142
0.704 g of H 2 contains (0.704/2.00) 0.352 mol of H 2 ;
1 mol of H 2 occupies 24 dm^3 at room temperature and
pressure. Therefore, 0.352 mol of H 2 occupies
0.352 24 8.5 dm^3
i.e. 8.5 dm^3 of gas burns to give 100 kJ of heat.
13J
20 g produces 120 Cal (120 kcal) when burned. The
energy value of the chocolate bar is
4.18 120
500 kJ. The energy value of 1 g of
chocolate is
(1/20) 500
25 kJ g–^1 (compare with the materials in
Table 13.3).
13K
Consumption of O 2 0.27 60  24 390 dm^3 day–^1.
Energy requirement per day  390  20 7800 kJ
(1870 Cal).
13L
2237 0.1223.7 kJ (endothermic)
13M
(i)The process Na(s) Na+(g)e–is the sum of the
atomisation and ionisation steps in the Born–Haber
cycle. Therefore, the energy requirement is
H—^1 H— 2  109  494 603 kJ mol–^1
(ii)The process Na+,Cl–(s)Na(g)^1 ⁄ 2 Cl 2 (g) involves
the sum of (H^ — 5 )(H^ — 4 )(H— 3 )(H^ — 2 )
 771  364  121  494 520 kJ mol–^1
13N
The formation of magnesium fluoride is
Mg(s)F 2 (g)Mg^2 +,F 2 – (s) H^ —f1121 kJ mol–^1
This may also be split up into steps, as with NaCl in the
text:
H— 5 H—^ fH^ — 1 H 2 —H^ — 3 H—^4 (A)
Note that:
(a)H^ — 2 involves two ionization steps:
Mg(g)Mg+(g)e– H^ —f744 kJ mol–^1
Mg+(g)Mg^2 +(g)e– H^ —f1456 kJ mol–^1
so that H^ — 2  744  1456 2200 kJ mol–^1.
(b) Step 3 involves the production of two fluorine
atoms:
F 2 (g)2F(g) H—^3 158 kJ mol–^1
H
/ kJ mol


-^1


Reactants

Progress of reaction

ΔH = O Products

NH 3 3 +
H 3 N
H 3 N
NH 3

NH 3
NH 3

Co

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