Chemistry, Third edition

(Wang) #1
REVISION QUESTIONS 283

Since [C(s)] is constant,


[CO(g)]^2
Kc(T)
[CO 2 (g)]

whereKc(T)=Kc(T)[C(s)].


Application of the equilibrium law to physical equilibria


The equilibrium law also applies to physical processes. For example, the equilibrium


law expression for the dissolution of silver chloride,


AgCl(s)\===\Ag(aq)Cl(aq)

is


K(AgCl)

[Ag(aq)][Cl(aq)]
(15.8)
[AgCl(s)]

However, since the concentration of a pure solid is constant


K(AgCl)[AgCl(s)][Ag(aq)][Cl(aq)]constant

This explains the expression


[Ag(aq)][Cl(aq)] = constant at that temperature = Ks

discussed in Unit 11. The common ion effect (page 179) may now be explained using


equation (15.8). If chloride ions are added to a saturated solution of AgCl, this equa-


tion predicts that [Ag(aq)] must be reduced in order to keep [Ag(aq)][Cl(aq)]


equal to K(AgCl). The reduction is achieved by precipitation of AgCl(s).


Application of the
equilibrium law to
vaporization

Show that application of
the equilibrium law to the
process
H 2 O(l)\===\H 2 O(g)
leads to the conclusion
that the equilibrium vapour
pressure of water is fixed
at a particular
temperature.

Exercise 15K


15.1.What is missing from the statement ‘Kc= 3.5  104 for
the reaction of hydrogen and bromine gases at 2040 °C’?

15.2.The table below shows the variation in the concentra-
tions of H 2 (g), I 2 (g) and HI(g) with time when the following
reaction was carried out at a fixed temperature:

H 2 (g)I 2 (g)\===\2HI(g)

(Concentrations/mol dm^3 ) 103
Time/s H 2 (g) I 2 (g) HI(g) Q

0 1.000 1.000 0.000
50 0.897 0.897 0.206
100 0.813 0.813 0.374
200 0.685 0.685 0.630
300 0.592 0.592 0.817
400 0.521 0.521 1.040
500 0.465 0.465 1.069
600 0.420 0.420 1.160
700 0.383 0.383 1.234
800 0.352 0.352 1.296
850 0.333 0.333 1.334
900 0.332 0.332 1.336
950 0.331 0.331 1.338

(Notice that the concentrations have been multiplied by 1000.
For example, the concentration of HI at t= 300 s is 0.817 
10 ^3 = 8.17  10 ^4 mol dm^3 .)
(i) Calculate the value of the expression

[HI(g)]^2
Q
[H 2 (g)][I 2 (g)]

at each time. (If possible, do this using a suitable computer
spreadsheet such as Microsoft Excel.) Enter these values in
the column labelled Q.
(ii) Plot [H 2 (g)] and [HI(g)] against time. Estimate the initial
rateat which (a) H 2 is used up and (b) at which HI is
produced. Comment upon your answers.
(iii)PlotQversus t. At what time would you say that
equilibrium has been reached? What is the value of
the equilibrium constant for the reaction at this tempera-
ture?
(iv)Use Fig. 15.6 to estimate the temperature at which the
experiments were carried out.

15.3.(i)Explain why the presence of water reduces the equi-
librium yield of ester in the reaction

C 2 H 5 OH(l)CH 3 COOH(l)\===\CH 3 COOC 2 H 5 (l)H 2 O(l)

Revision questions

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