In an adsorption experiment, a graph between log `(x/m)` versus log `P` was found to be linear with a slope of `45^(@)` . The intercept on the log `(x/m)` axis was found to be `0.3010` . Calculate the amount of the gas adsorbed per gram of charcoal under a pressure of `0.5` atm` .

Explanation

To solve the problem step by step, we will use the Freundlich adsorption isotherm and the information provided in the question.

### Step 1: Understand the Freundlich Adsorption Isotherm
The Freundlich adsorption isotherm can be expressed as:
\[ \frac{x}{m} = k P^{\frac{1}{n}} \]
where:
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