Applying Freundlich adsorptin isotherm, calculate the amount of acetic acid adsorbed by 1 kg of blood charcoal at `25^(@)C` from a 5% vinegar solution (mass/volume). Given that if the concentration is expressed in molarity (mol `dm^(-3)`), x/m is mass of the solute adsorbed per gram of adsorbent, then `k=0.160and n=2.32.`

Explanation

To solve the problem of calculating the amount of acetic acid adsorbed by 1 kg of blood charcoal at 25°C from a 5% vinegar solution using the Freundlich adsorption isotherm, we will follow these steps:

### Step 1: Understand the Given Information
- **Concentration of acetic acid in vinegar**: 5% (mass/volume) means 5 grams of acetic acid in 100 mL of solution.
- **Weight of charcoal**: 1 kg = 1000 grams.
- **Freundlich constants**: \( k = 0.160 \) and \( n = 2.32 \).

### Step 2: Calculate the Molarity of Acetic Acid
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