Disuss the effect of pressure and temperature on the adsorption of gases on solides.

Explanation

To discuss the effect of pressure and temperature on the adsorption of gases on solids, we can break down the analysis into two main parts: the effect of pressure at constant temperature and the effect of temperature at constant pressure.

### Step-by-Step Solution:

**1. Effect of Pressure at Constant Temperature:**
- **Low Pressure:** At low pressures, the amount of gas adsorbed (X/M) is directly proportional to the pressure (P). This relationship can be described by the Freundlich isotherm, where the extent of adsorption increases linearly with pressure. Mathematically, we can express this as:
\[
\frac{X}{M} \propto P \quad \text{(for low pressure)}
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