REVISED QUESTIONS 397
(iii)The colour of paints may also be explained using the
colour cheese to predict which frequencies of light are
absorbed and which are reflected. Explain why when lots of
different paints are mixed, a black colour results.
20.10.The following table lists the molar absorption co-
efficient of ozone, O 3 (g) at 298 K in part of the ultraviolet region.
Wavelength/nm Molar absorption
coefficient/mol–1m^2
210 11
220 35
230 101
240 204
250 298
254 369
260 298
270 204
280 101
290 35
300 11
Plot!against wavelength. Calculate the absorbance at 254 nm
of a 10.0 cm gas cell containing pure ozone at a pressure of
100.0 Pa at 298 K. (Hint Use the ideal gas equation to convert
gas pressure to gas concentration.)
20.11.The simplified (a)mass spectrum and (b)infrared
spectrum of an unknown compound are shown below.
Additional information:
(a)The low resolution proton NMR spectrum (not shown)
contains two signals.
(b)The compound contains 37.5% C, and 12.5% H; testing
for other elements was not carried out.
Suggest a structure for the unknown compound.
20.12.Hydrocarbon concentrations in water can be mea-
sured by extracting the hydrocarbons from the water with a
suitable solvent (such as trifluorotrichloroethane (CF 3 CCl 3 ),
and subsequently measuring the absorbance of the hydro-
carbon solution in the C–H stretch region at 2860 cm–1.
(i) Why should chloroform CHCl 3 not be used as the solvent
in such measurements?
(ii)In an experiment, octane from a water sample was com-
pletely extracted using an equal volume of CF 3 CCl 3
solvent. The absorbance of octane in solution in a 20 mm
cell was found to be 0.050 at 2860 cm–1. Given that
!(C 8 H 18 ) in CF 3 CCl 3 at 2860 cm–1is 5.0 mol–1m^2 ,
calculate the concentration of octane in the original water
sample in (a) mol m–3and (b) mg dm–3.
20.13.Chromate(VI) ions (CrO 4 2–(aq)) may be completely
reduced to chromium(III) ions (Cr3+(aq)) in the presence of
thiourea catalyst and a sodium ethanoate–ethanoic acid
buffer. The reaction may be simply expressed as
CrO 4 2–(aq) + 8H+(aq) + 3e–→Cr^3 (aq) + 4H 2 O(l)
(i) By working out the oxidation numbers of chromium in
the two species, show that reduction has taken place.
(ii)At 440 nm, (CrO 4 2–(aq)) = 200.0 mol–1 m^2 and
!(Cr3+(aq)) = 1.0 mol–1m^2. In an experiment, a solution
initially containing 5.0 10 –4mol dm–3chromate(VI) ion
was completely reduced to chromium(III) ions. Assuming
a cell pathlength of 1.0 cm, what will be the initial and final
absorbance of the reaction mixture at 440 nm? (Assume
that the thiourea and buffer do not absorb at 440 nm.)
20.14.Flame atomic absorption spectroscopy (AAS) is a
specialized spectroscopic technique widely used in analytical
laboratories to find the levels of trace metals in solution. By
consulting a textbook on analytical chemistry, find out (i)
what light sources are used in AAS and (ii) the purpose of the
flame.
20.15.Identify the compound, of molecular formula
C 2 H 4 Br 2 , whose^1 H-NMR spectrum is shown below:
Absorbance
300 400 500 700
Wavelength/nm
100%
10
m/e
20 30 40
28
15
29
31
32
Transmittance
4000
3000 2000 1000
460
Wavenumber/cm–1
C 2 H 4 Br 2
5.00 0.00
TMS
δ