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The values of dissociation constants of ...

The values of dissociation constants of some acids ( at `25^(@) C` are as follows. Indicate which is the strongest acid in water

A

`1.4 xx 10^(-2)`

B

`1.6 xx 10^(-4)`

C

`4.4 xx 10^(-10)`

D

`4.3 xx 10^(-7)`

Text Solution

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The correct Answer is:
To determine which acid is the strongest in water based on their dissociation constants (Ka values), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Acid Strength**: - Acids donate protons (H⁺) to bases in aqueous solutions. The strength of an acid is determined by its ability to dissociate and release protons. 2. **Identify the Dissociation Constant (Ka)**: - The dissociation constant (Ka) measures the extent of dissociation of an acid in water. A higher Ka value indicates a stronger acid because it means the acid dissociates more completely, releasing more H⁺ ions. 3. **Compare the Given Ka Values**: - The problem provides several Ka values for different acids. We need to identify which of these values is the highest. - For example, let's say the given Ka values are: - Acid 1: \(1.4 \times 10^{-2}\) - Acid 2: \(1.0 \times 10^{-4}\) - Acid 3: \(1.0 \times 10^{-10}\) - Acid 4: \(1.0 \times 10^{-7}\) 4. **Determine the Highest Ka Value**: - Compare the Ka values: - \(1.4 \times 10^{-2} > 1.0 \times 10^{-4} > 1.0 \times 10^{-7} > 1.0 \times 10^{-10}\) - From this comparison, we can see that \(1.4 \times 10^{-2}\) is the highest value. 5. **Conclusion**: - Since \(1.4 \times 10^{-2}\) is the highest Ka value, the corresponding acid is the strongest acid in water. ### Final Answer: The strongest acid in water is the one with the dissociation constant \(1.4 \times 10^{-2}\). ---
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