STATEMENT-1 : Micelles are formed by surfactant molecules above the critical micellar concentration (CMC). because STATEMENT-2 : The conductivity of a solution having surfactant molecules decreases sharply at the CMC. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement- 2 is NOT a correct explanation for Statement-1 (C) Statement- 1 is True, Statement- 2 is False (D) Statement-1 is False, Statement-2 is True

Short Answer

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(B) Statement-1 is True, Statement-2 is True; Statement- 2 is NOT a correct explanation for Statement-1.

Step by step solution

01

Examine Statement-1

Assess the truth value of Statement-1: 'Micelles are formed by surfactant molecules above the critical micellar concentration (CMC).' This statement is indeed truthful. Surfactant molecules tend to aggregate and form micelles when their concentration in the solution reaches the CMC. At concentrations higher than the CMC, the surfactant molecules cluster with their hydrophilic heads outwards and hydrophobic tails inwards, reducing the surface tension of the solution.
02

Examine Statement-2

Determine the truth value of Statement-2: 'The conductivity of a solution having surfactant molecules decreases sharply at the CMC.' This statement is true. The sharp decrease in conductivity at the CMC is because, beyond this point, additional surfactant molecules form micelles instead of dispersing as individual ions, which decreases the number of ions contributing to the conductivity.
03

Analyze the Relationship

Examine if Statement-2 is a correct explanation for Statement-1. The formation of micelles reduces the surface tension but does not necessarily explain the change in conductivity. The change in conductivity is a result of fewer ionic surfactant molecules being available to conduct electricity, not directly because of micelle formation.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Micelles Formation
Understanding the process of micelles formation is fundamental in the study of surfactant behavior in solutions. As surfactant molecules reach a certain concentration in the solution known as the critical micellar concentration (CMC), they begin to aggregate. This pivotal point is crucial because above the CMC, the surfactant molecules organize themselves into spherical structures called micelles. The interior of a micelle is hydrophobic, providing a haven for the tails of the surfactant molecules, while the exterior is hydrophilic, aligning the heads towards the water.

The formation of micelles serves as a response to the dual nature of surfactant molecules, which contain both water-loving (hydrophilic) and water-fearing (hydrophobic) parts. As the concentration increases, the system finds a balance by minimizing the free energy, which results in the surfactant's tails being sequestered away from water, forming these unique structures.

In practical applications, micelle formation is critical in processes like cleaning, where the ability of micelles to encapsulate dirt and oil plays a pivotal role. Additionally, understanding micelles is beneficial in the medical field for drug delivery systems.
Surfactant Molecules
Surfactant molecules are fascinating substances that reduce surface tension when added to a liquid. These molecules have a unique architecture, with a 'head' that is hydrophilic and a 'tail' that is hydrophobic. Such a design allows them to perform a variety of functions including, but not limited to, acting as detergents, emulsifiers, foaming agents, and dispersants.

Surfactants possess the ability to align at interfaces between fluids and solids or between immiscible fluids such as oil and water. The alignment and accumulation of these molecules at the surface or interface reduce the surface tension or interfacial tension. This characteristic trait of surfactants can be exploited in numerous industrial applications, ranging from household cleaning products to oil recovery to food processing.

Understanding the molecular structure of surfactants and their behavior at different concentrations provides insight into their functional properties. This knowledge forms the basis for the strategic use of surfactants in various products and processes.
Conductivity in Solutions
The concept of conductivity in solutions pertains to the ability of a solution to conduct electricity, which is largely dependent on the presence of free-moving charged particles, or ions. The measurement of conductivity offers insight into the concentration of these ions within a solution, making it a valuable parameter in identifying changes in ionic states, like when surfactants form micelles.

When surfactant molecules are added to a solution, initially, they disperse as individual ions, which contribute to the solution's conductivity. However, as their concentration reaches the CMC, the formation of micelles encapsulates the hydrophobic tails, and fewer ions remain free to move about, leading to a sharp decrease in conductivity.

The relationship between surfactant concentration and conductivity is often utilized in experimental settings to determine the CMC of a given surfactant by monitoring changes in conductivity. This principle has practical implications in industries where the precise concentration of surfactants is crucial for optimal performance, such as in pharmaceuticals and cosmetics.
CMC and Surface Tension
The relationship between the critical micellar concentration (CMC) and surface tension is noteworthy in the field of colloidal and surface chemistry. The CMC signifies the threshold at which surfactant molecules begin to form micelles instead of adsorbing at the surface, which has a direct impact on the surface tension of the solution.

Below the CMC, surfactant molecules predominantly gather at the surface or interface, leading to a reduction in surface tension. As more surfactant is added and the CMC is approached, the surface becomes saturated with surfactant molecules, and any additional surfactant forms micelles. This saturation point corresponds with the minimal surface tension that can be achieved with that particular surfactant.

Furthermore, surface tension measurements are commonly used in conjunction with conductivity tests to experimentally determine the CMC. The intersection of decreasing surface tension with the onset of stable micelles creation is a critical juncture for applications requiring the manipulation of surface and interfacial properties, such as in inkjet printing inks, pesticides, and adhesives.

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