The interfacial energy γoil-water of an oil – water interface at 25 oC is 53 mJ/m2. The surface tension of the oil is 25 mN/m and that of water is 72.5 mN/m at 25 oC. (a) Calculate the spreading coefficient. Does the oil spread on water at 25 oC? (b) When carboxylic acid is dissolved in the oil, γoil-water is reduced. We may assume that acid addition only affects γoil-water, which decreases linearly with acid concentration (dilute solution). It is observed that spreading of the oil occurs when the acid concentration in greater than 0.005 mol/L. Calculate the adsorption isotherm Γ versus C for adsorption of acid at the interface, and the area occupied by each acid molecule at the interface at the onset of spreading.

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The interfacial energy γoil-water of an oil – water interface at 25 oC is 53 mJ/m2. The surface tension of the oil is 25 mN/m and that of water is 72.5 mN/m at 25 oC. (a) Calculate the spreading coefficient. Does the oil spread on water at 25 oC? (b) When carboxylic acid is dissolved in the oil, γoil-water is reduced. We may assume that acid addition only affects γoil-water, which decreases linearly with acid concentration (dilute solution). It is observed that spreading of the oil occurs when the acid concentration in greater than 0.005 mol/L. Calculate the adsorption isotherm Γ versus C for adsorption of acid at the interface, and the area occupied by each acid molecule at the interface at the onset of spreading.
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