Surfactants adsorb at solid$/$liquid interfaces due to their surface activity. For example, a surfactant will adsorb onto the surface of carbon particles that are dispersed in an aqueous medium. The extent of an ionic surfactant$$s adsorption depends on a number of factors, amongst which are:

i$)$ the surfactant$$s solubility in the aqueous medium, and

ii$)$ the pH and temperature of the aqueous medium.

Discuss how each of these factors influences the extent of the surfactant$$s adsorption, using illustrations if necessary.