(iii) Addition of NaCl to an ionic surfactant
(iv) Unsaturation (double bonds) of the hydrophobic part of the surfactant
(v) Insertion of EOgroups between alkyl chain and the head group
(e) For a non-ionic surfactant, X, at moderate concentrations, the surface tension (mN/m)
at 298 K,based on the Gibbs adsorption isotherm equation, is given by:
y = 0.62 - 8.4Inc
where c is the concentration in mM.
(i)
Determine the surface excess and area per molecule (A2).
(4)
(ii) Suppose similar experiments were carried out for two other surfactants A and
B, the sign of surface excess obtained for A was opposite to that obtained for
X whereas for Bit was found to be zero. State the type of adsorption exhibited
or implied by each surfactant.
(3)
(iii) If the area of headgroup is 20 A2, comment on the result obtained in (i) above.
(2)
(f) Given a solid (S) and liquid (L), calculate the contact angle, 8, and deduce which of
the following occurs: Perfect wetting, Partial wetting, Non-wetting or Perfectly not
wetted
(4)
(i)
Ys= 18.5 mNm-1, YL= 72.8 mNm-1 and ysL= 91.3 mNm-1
(ii) ys = 307 mNm-1, YL= 45 mNm-1 and YsL= 262 mNm-1
QUESTION 3
[20]
The non-linear form of the Langmuir equation for the adsorption a gas on a solid takes the
form:
= V V111aP
l+aP
(a) State any three assumptions involved in the derivation of the Langmuir adsorption
isotherm equation for molecules at the gas/liquid interface.
(3)
(b) How is this equation modified to account for:
(i)
Competitive adsorption on an adsorbent of two gases A and B without
dissociation?
(2)
(ii) Adsorption of gas A which dissociates into two species?
(2)
(c) Show how the linear form of the Langmuir equation above may be used to determine
the constants.
(5)
(d) One student of mine recently used Moringa seed shells activated carbon to remove
methylene blue (MB) from water, fitted the data to the linear form of the Langmuir
equation for adsorption from solution given below and found the slope and intercept
to be 0.0295 g mg-1 and 0.2573 g2 L-1mg-1, respectively. Determine the values for
monolayer capacity (adsorption capacity) and a in the Langmuir equation under the
experimental conditions used.
(4)
4