Why is molar conductivity inversely proportional to concentration and relationship between molar conductivity and molar conductivity at infinite dilution?
Molar conductivity is not directly inversely proportional to concentration, but it increases as the concentration decreases. This means the relationship is indirect and can be understood through the following points:
Molar conductivity (Λm) reflects the ability of a solution to conduct electricity per mole of solute.
As the concentration of an electrolyte increases, the number of ions per unit volume also increases.
However, even though there are more ions, the inter-ionic attraction between them also increases due to their closer proximity. This hinders their free movement, making it more difficult for them to carry the current.
Consequently, the overall conductivity of the solution decreases despite the presence of more ions.
Therefore, when the solution is diluted (concentration decreases), the ions become more spaced out. This reduces the inter-ionic attraction, allowing them to move more freely and conduct electricity more efficiently. This translates to an increase in molar conductivity.
Relationship with molar conductivity at infinite dilution (Λm°):
As dilution progresses, the inter-ionic interactions become negligible, and the ions move freely. The molar conductivity keeps increasing towards a theoretical limit called molar conductivity at infinite dilution (Λm°). This value represents the maximum conductivity achievable for the electrolyte and reflects the inherent ability of its individual ions to conduct electricity.
In summary:
Molar conductivity is not directly inversely proportional to concentration, but it increases with decreasing concentration.
Dilution reduces inter-ionic interactions, allowing ions to move more freely and increasing conductivity.
Molar conductivity at infinite dilution (Λm°) represents the maximum achievable conductivity for an electrolyte.