If x/m is the mass of adsorbate adsorbed per unit mass of adsorbent, P is the pressure of the adsorbate gas ,a and b are constant ,which of the following represent "Langmuir adsorption isotherm"?

Options

A. `log"" (x/m) = log""(a/b) + 1/a log p`
B. `(xb)/(m)=1/a+ap`
C. `x_1/m=(bp)/(ap)`
D. `(1b)/((x//r))=1/(ma)+a_1`

Explanation

To solve the question regarding the Langmuir adsorption isotherm, we need to derive the equation and identify the correct representation. Let's go through the steps systematically.

### Step-by-Step Solution:

1. **Understanding the Variables**:
- Let \( \frac{x}{m} \) be the mass of adsorbate adsorbed per unit mass of adsorbent.
- Let \( P \) be the pressure of the adsorbate gas.
- Constants \( a \) and \( b \) are given.
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