You have prepared an aqueous dispersion of silica particles and plan to store it at 25 °C for a…

Problem #1) You have prepared an aqueous dispersion of silica particles and plan to store it at 25 °C for a long time. Determine and plot the equilibrium concentration profile if the particle diameter is: (a) 5 nm, (b) 50 nm, and (c) 500 nm.

Problem # 2) Electrostatic effects in colloid and interface science are usually treated with the Poisson-Boltzmann equation, which describes the distribution of electrical potential in an electrolyte solution. This equation is used to derive the distribution of ions surrounding charged particles or surfaces. A common starting point for the derivation of the Poisson-Boltzmann equation is that all ion concentrations obey a Boltzmann distribution:

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