To determine which solution of KCl has the lowest value of equivalent conductance, we need to understand how concentration affects conductivity in electrolyte solutions. In this case, we have four different concentrations of KCl: 1M, 0.1M, 0.01M, and 0.001M. The equivalent conductance of an electrolyte solution is influenced by both the concentration of ions in the solution and the mobility of those ions.
Understanding Equivalent Conductance
Equivalent conductance (Λ) is defined as the conductance of a solution divided by the number of equivalents of solute in that solution. It can be expressed mathematically as:
Λ = κ / c
where κ is the conductivity of the solution and c is the concentration of the electrolyte.
Impact of Concentration on Conductivity
As the concentration of an electrolyte solution increases, the number of ions available to conduct electricity also increases, leading to higher conductivity. However, at very high concentrations, the ions can start to interact with each other, which can hinder their mobility and reduce the overall conductivity. This phenomenon is known as ion pairing or activity effects.
Analyzing the Given Concentrations
- 1M KCl: This concentration has the highest number of ions, but due to increased ion interactions, the equivalent conductance may not be as high as expected.
- 0.1M KCl: This concentration will have a lower conductivity than 1M, but the ions are less hindered, leading to better mobility.
- 0.01M KCl: Here, the conductivity continues to decrease, but the ions are still mobile enough to maintain reasonable conductance.
- 0.001M KCl: At this very low concentration, the number of ions is significantly reduced, leading to the lowest conductivity and, consequently, the lowest equivalent conductance.
Conclusion on Equivalent Conductance
Based on the analysis, the solution with the lowest value of equivalent conductance is the 0.001M KCl solution. This is primarily because the lower concentration results in fewer ions available to carry the electric current, leading to lower conductivity. As a result, the equivalent conductance decreases with decreasing concentration, making 0.001M KCl the solution with the lowest equivalent conductance among the options provided.