92168.pdf

(Brent) #1
280 Problems


  1. The c.m.c. of a non-ionic surfactant in water varies with
    temperature as follows:


Temperature/°C 15 20 25 30 40
c.m.c./mmol dm"^3 21.9 20.8 19.9 19.1 17.8

Determine an enthalpy of micellisation in accord with the phase
separation model.


  1. At 20°C the surface tensions of water and n-octane are 72.8
    and 21.8 mN m"^1 , respectively, and the interfacial tension of the n-
    octane-water interface is 50.8 mN m"^1. Calculate


(a) the work of adhesion between n-octane and water;
(b) the work of cohesion for (i) n-octane and (M) water;
(c) the initial spreading coefficient of n-octane on water;
(d) the dispersion component of the surface tension of water.


  1. The following surface pressure measurements were obtained
    for a film of haemoglobin spread on 0.01 mol dm~^3 HC1 (aq.) at 25°C:


A/m^2 mg-^1 4.0 5.0 6.0 7.5 10.0
Tr/mNm"^1 0.28 0.16 0.105 0.06 0.035


Calculate the relative molecular mass of the spread protein and
compare your answer with a value of 68000 as determined from
sedimentation measurements.


  1. The amount of hydrogen chemisorbed on to a nickel surface at
    600 K is approximately proportional to the square root of its
    pressure. Derive a two-dimensional equation of state for the
    adsorbed gas and comment on its significance.

  2. The following data list volumes of ammonia (reduced to s.t.p.)
    adsorbed by a sample of activated charcoal at 0°C:


Pressure/kPa 6.8 13.5 26.7 53.1 79.4
Volume/cm^3 g"^1 74 111 147 177 189


Show that the data fit a Langmuir adsorption isotherm expression and
evaluate the constants.
Free download pdf