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Ch.13 - Properties of Solutions
Chapter 13, Problem 114a

Compounds like sodium stearate, called 'surfactants' in general, can form structures known as micelles in water, once the solution concentration reaches the value known as the critical micelle concentration (cmc). Micelles contain dozens to hundreds of molecules. The cmc depends on the substance, the solvent, and the temperature. (a) The turbidity (the amount of light scattering) of solutions increases dramatically at the cmc. Suggest an explanation. .

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Surfactants

Surfactants are compounds that lower the surface tension between two substances, such as oil and water. They have a hydrophilic (water-attracting) head and a hydrophobic (water-repelling) tail, allowing them to interact with both polar and nonpolar substances. This unique structure enables surfactants to aggregate in water, forming micelles when the concentration exceeds the critical micelle concentration (cmc).

Critical Micelle Concentration (cmc)

The critical micelle concentration (cmc) is the specific concentration of surfactants in a solution at which micelles begin to form. Below this concentration, surfactant molecules exist primarily as individual entities, while above it, they aggregate into micelles. The cmc is influenced by factors such as the type of surfactant, the solvent used, and the temperature of the solution.
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Turbidity and Light Scattering

Turbidity refers to the cloudiness or haziness of a solution caused by the presence of suspended particles. In the context of micelle formation, as surfactants reach the cmc and aggregate into micelles, they scatter light more effectively due to their size and structure. This increase in light scattering results in a noticeable rise in turbidity, indicating the transition from individual surfactant molecules to organized micellar structures.
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