If `pK_(a)` of acetic acid and `pK_(b)` of ammonium hydroxide are `4.76`
each. Find the pH of ammonium acetate.

Options

A. 7
B. less than 7
C. more than 7
D. zero

Explanation

To find the pH of ammonium acetate, we can follow these steps:

### Step 1: Understand the components
Ammonium acetate is a salt formed from a weak acid (acetic acid) and a weak base (ammonium hydroxide). The pKa of acetic acid is given as 4.76, and the pKb of ammonium hydroxide is also given as 4.76.

### Step 2: Use the formula for pH of a salt from a weak acid and weak base
For a salt formed from a weak acid and a weak base, the pH can be calculated using the formula:
\[ \text{pH} = 7 + \frac{1}{2}(\text{pKa} - \text{pKb}) \]

### Step 3: Substitute the values into the formula
Now, substituting the given values of pKa and pKb into the formula:
\[ \text{pH} = 7 + \frac{1}{2}(4.76 - 4.76) \]

### Step 4: Calculate the difference
Calculating the difference:
\[ \text{pH} = 7 + \frac{1}{2}(0) \]

### Step 5: Simplify the expression
This simplifies to:
\[ \text{pH} = 7 + 0 = 7 \]

### Conclusion
Thus, the pH of ammonium acetate is **7**.

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