The magnitude of stability constant gives an indication of the stability of ______in____ .

Answer

**Step-by-Step Solution:**

1. **Understanding the Question**: The question asks about the stability constant and what it indicates regarding stability in a specific context.

2. **Identifying the Key Terms**: The term "stability constant" is crucial here. It is often denoted as \( K_f \) and is associated with the stability of coordination complexes.

3. **Defining Stability Constant**: The stability constant (or formation constant) quantifies the stability of a complex ion formed in solution. It is derived from the equilibrium expression of the formation of a complex from its constituent ions.

4. **Formation of a Complex**: For example, consider the formation of a complex between cadmium ions (\( \text{Cd}^{2+} \)) and ammonia (\( \text{NH}_3 \)):
\[ \text{Cd}^{2+} + 4 \text{NH}_3 \rightleftharpoons [\text{Cd}(\text{NH}_3)_4]^{2+} \]

5. **Equilibrium Constant Expression**: The equilibrium constant for this reaction can be expressed as:
\[ K_f = \frac{[\text{Cd}(\text{NH}_3)_4^{2+}]}{[\text{Cd}^{2+}][\text{NH}_3]^4} \]
Here, \( K_f \) indicates how much the formation of the complex is favored in solution.

6. **Interpreting the Magnitude of \( K_f \)**: A higher value of \( K_f \) indicates a more stable complex in solution. Conversely, a lower value suggests that the complex is less stable.

7. **Filling in the Blanks**: Based on the understanding of the stability constant:
- The first blank should be filled with "complexes".
- The second blank should be filled with "solution".

8. **Final Answer**: The completed statement is:
"The magnitude of stability constant gives an indication of the stability of **complexes** in **solution**."

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