The following picture represents the hydrated metal cation M1H2O26 n + , where n = 1, 2, or 3.

(b) Does the equilibrium constant increase, decrease, or remain the same as the value of n increases? Explain.

Key Concepts

Hydrated Metal Cations

Hydrated metal cations are metal ions that are surrounded by water molecules, forming a complex. The number of water molecules coordinated to the metal ion can vary, influencing the properties of the complex. In this case, the notation M1H2O26 n+ indicates that the metal ion M is coordinated with 26 water molecules, and n can take values of 1, 2, or 3, representing different charge states of the metal.

Equilibrium Constant (K)

The equilibrium constant (K) is a numerical value that expresses the ratio of the concentrations of products to reactants at equilibrium for a given chemical reaction. It provides insight into the extent of a reaction and can change with varying conditions, such as concentration, temperature, and the presence of catalysts. In the context of hydrated metal cations, the equilibrium constant can be affected by the number of coordinated water molecules.

Coordination Number and Stability

The coordination number refers to the number of ligand atoms that are bonded to a central metal atom in a complex. As the coordination number increases, the stability of the complex often increases due to enhanced interactions between the metal and the ligands. In this scenario, as n increases, the stability of the hydrated metal cation may lead to changes in the equilibrium constant, typically resulting in an increase in K due to the formation of a more stable complex.