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pH of a salt solution of weak acid (pK(a...

pH of a salt solution of weak acid `(pK_(a) = 4)` & weak base
`(pK_(b) = 5)` at `25^(@)C` is :

A

6.5

B

6

C

7

D

7.5

Text Solution

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The correct Answer is:
To calculate the pH of a salt solution formed from a weak acid and a weak base, we can use the following formula: \[ \text{pH} = \frac{1}{2} \text{pK}_w + \text{pK}_a - \text{pK}_b \] ### Step-by-step Solution: 1. **Identify the values given in the problem:** - pK_a = 4 (for the weak acid) - pK_b = 5 (for the weak base) - pK_w = 14 (the ion product of water at 25°C) 2. **Substitute the values into the formula:** \[ \text{pH} = \frac{1}{2} \times 14 + 4 - 5 \] 3. **Calculate \(\frac{1}{2} \times 14\):** \[ \frac{1}{2} \times 14 = 7 \] 4. **Combine the values:** \[ \text{pH} = 7 + 4 - 5 \] \[ \text{pH} = 7 + (-1) = 6 \] 5. **Final calculation:** \[ \text{pH} = 6 \] ### Conclusion: The pH of the salt solution of the weak acid and weak base is **6**.

To calculate the pH of a salt solution formed from a weak acid and a weak base, we can use the following formula: \[ \text{pH} = \frac{1}{2} \text{pK}_w + \text{pK}_a - \text{pK}_b \] ### Step-by-step Solution: ...
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