A hydrogen electrode placed in a solution containing `CH_(3)COOK` and `CH_(3)COOH` in the ration `a:b` and `b:a` has electrode potential values of `-1.59` and `+1.0V,` respectively. Calculate `pK_(a)` of `CH_(3)COOH.`

Explanation

To solve the problem of calculating the pK_a of acetic acid (CH₃COOH) based on the given electrode potential values, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Data**:
- We have two scenarios:
- Scenario 1: A mixture of CH₃COOK (potassium acetate) and CH₃COOH (acetic acid) in the ratio a:b has an electrode potential (E) of -1.59 V.
- Scenario 2: The same mixture in the ratio b:a has an electrode potential (E) of +1.0 V.
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