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.

검증된 단계별 안내

Identify the metal cation M and its coordination with water molecules, forming a complex ion M(H2O)6^n+.

Understand that the charge n+ on the metal cation affects the strength of the interaction between the metal and the water molecules.

Recognize that as the charge n increases, the metal cation becomes more positively charged, enhancing its ability to attract and hold onto the water molecules more strongly.

Consider that a stronger interaction between the metal cation and water molecules typically leads to a more stable complex, which can affect the equilibrium constant of the reaction involving the complex.

Conclude that as the value of n increases, the equilibrium constant for the formation of the hydrated metal cation complex is likely to increase, reflecting the increased stability of the complex.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.

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.