A:

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Many Thanks
Gavin

any higher than theoretical diffusion limit imposed by $\tau$.

It is known from Physics that, with constant surface tension, the diffusion of a solute will reach a maximum and then decrease with time, and this happens because of the outward force generated by the increasing concentration of solute. This is due to the fact that the solute cannot diffuse faster than the surrounding liquid molecules to escape from the solute’s diffusion pathway. Therefore, it is justified to claim that the observed diffusion of solute is physically valid and that the obtained diffusion is limited by $\tau$.

For the present work, the measured diffusion is compared with reported work by Kornel et al. [@Kornel2006] and Antonelli et al. [@Antonelli2013]

$$d=c_m r_1+c_\infty r_2$$

In the above equation, $d$ is the measured diffusion and $c_m$ is the measured mole fraction of solvent inside the core of micelles. $c_m$ can be written as

$$c_m=c_{0,\infty} \exp \left( -\frac{\Delta G}{RT} \right)$$

where $\Delta G$ is the free energy change of per surfactant molecule, $c_{0,\infty}$ is the solute concentration of free surfactant in bulk solution (in our case, there is no bulk phase) and $R$ is the gas constant, which is taken to be $R=8.31$ J/mol-K.

$r_1$ and $r_2$ are the fitted values from equations ($equ:r1$) and ($equ:r2$) as already discussed in the text.

In order to compare our result to the literature [@Kornel2006; @Antonelli2013], we have considered the data for standard surfactants and higher surfactant concentrations than in our study. In the figure below, in the column ‘Diffusion’ the data points are plotted.

[^1]: Coating solution, which is left in a closed container after coating preparation to form a crust, is