For the adsorption of a gas on a solid,the slope of the linear plot of $\log(x/m)$ versus $\log(p)$ is .... ($n$ is an integer).

During the adsorption of a gas on a solid at low temperature,which of the following thermodynamic conditions is correct?

The graph of $\log \frac{x}{m}$ vs $\log p$ for an adsorption process is a straight line inclined at an angle of $45^{\circ}$ with an intercept equal to $0.6020$. The mass of gas adsorbed per unit mass of adsorbent at the pressure of $0.4 \ atm$ is $......... \times 10^{-1}$ (Nearest integer). Given: $\log 2 = 0.3010$.

Given below are two statements. One is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A :$ Activated charcoal adsorbs $SO_{2}$ more efficiently than $CH_{4}$.
Reason $R$ : Gases with lower critical temperatures are readily adsorbed by activated charcoal.
In the light of the above statements,choose the correct answer from the options given below.

Select the graph that correctly describes the adsorption isotherms at two temperatures $T_{1}$ and $T_{2}$ $\left(T_{1}>T_{2}\right)$ for a gas :
($x-$ mass of the gas adsorbed ; $m-$ mass of adsorbent ; $P -$ pressure)

Plot of $\log \left( \frac{x}{m} \right)$ against $\log P$ is a straight line inclined at an angle of $45^o$. When the pressure is $0.5 \ atm$ and Freundlich parameter,$k$ is $10$,the amount of solute adsorbed per gram of adsorbent will be ...... $g$ $(\log 5 = 0.6990)$