A gas undergoes physical adsorption on a surface and follows the given Freundlich adsorption isotherm equation $\frac{x}{m}={kp}^{0.5}$. Adsorption of the gas increases with

The Freundlich adsorption isotherm law states that the change in the amount of gas absorbed by unit mass of a solid is directly proportional to the change in the pressure at a given temperature.

According to the given Freundlich adsorption isotherm equation

$\frac{x}{m}=K{p}^{0.5}$

On increasing pressure $\frac{x}{m}$ will increase, on decreasing temperature adsorption increases.

So, Increase in P and Increase in T.

Therefore, option C is correct.