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Problem: A buffer is prepared containing 1.00 molar acetic acid and 0.800 molar sodium acetate. What is its pH if the Ka of acetic acid is 1.77 x10^7?

need po solution right away. huhu



Sagot :

Answer:

To find the pH of a buffer solution containing acetic acid (CH₃COOH) and sodium acetate (CH₃COON equation:

\[

\text{pH} = \text{pKa} + \log\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)

\]

where:

- \([\text{A}^-]\) is the concentration of the base (sodium acetate),

- \([\text{HA}]\) is the concentration of the weak acid (acetic acid),

acid dissociation constant, and

- pKa is{Ka})\).

### Step 1: Calculate the pKa

Given:

\[

K_a = 1.77 \times 10^{-5}

\]

Now calculate pKa:

\[

\text{pKa} = -\log(1.77 \times 10^{-5}) \approx 4.753

\]

### Step 2: Plug in the values into the Henderson-Hassel{A}^-] = 0.800 \, \text{M}\) (sodium acetate)

- \([\text{HA}] = 1.00 \, \text{M}\) (acetic acid)

Now, substitute these values into the equation:

\[

\text{pH} = 4.753 + \log\left(\frac{0.800}{1.00}\right)

\]

### Step 3: Calculate the log term

\[

\log\left(\frac{0.800}{1.00}\right) = \log(0.800) \approx -0.097

\]

### Step 4: Calculate the pH

Now substitute back into the equation:

\[

\text{pH} = 4.753 - 0.097 \approx 4.656

\]

### Conclusion

The pH of the buffer solution is approximately **4.656**.

I hope you understand because that's how I solve it