Step 1: Recall Freundlich adsorption isotherm.
Freundlich adsorption isotherm is an empirical relation describing adsorption of gases on solids at constant temperature.
Step 2: Write the equation.
\[
\frac{x}{m} = kP^{1/n}
\]
where \(x\) is the mass of gas adsorbed, \(m\) is mass of adsorbent, \(P\) is pressure, and \(k,n\) are constants.
Step 3: Identify the correct form.
The correct mathematical form matching Freundlich’s equation is option (D).
Step 4: Conclusion.
Freundlich’s adsorption equation is \(\dfrac{x}{m} = kP^{1/n}\).