$10 \ g$ of a gas is adsorbed on $500 \ g$ of solid at $10 \ bar$. If the pressure is increased to $20 \ bar$, $14 \ g$ of the gas is adsorbed by the same solid at the same temperature. What is the slope of Freundlich adsorption isotherm?

The graph between $\log (\frac{x}{m})$ and $\log P$ is provided for the adsorption of $NH_3$ gas on a metal surface. Calculate the weight of $NH_3$ gas adsorbed by $50 \ gm$ of the metal surface at $2 \ atm$ pressure. (in $gm$)

Which of the following statements is not correct?

The mass of gas adsorbed,$x$,per unit mass of adsorbent,$m$,was measured at various pressures,$p$. $A$ graph between $\log(x/m)$ and $\log p$ gives a straight line with slope equal to $2$ and the intercept equal to $0.4771$. The value of $x/m$ at a pressure of $4 \text{ atm}$ is: (Given $\log 3 = 0.4771$)

If $x$ gram of gas is adsorbed by $m$ gram of adsorbent at pressure $P$,the plot of $\log \frac{x}{m}$ versus $\log P$ is linear. The slope of the plot is: ($n$ and $k$ are constants and $n > 1$ )

The graph of $\log(x/m)$ versus $\log p$ is a straight line with an angle of $45^o$ and an intercept of $0.3010$ on the $y$-axis. Calculate the amount of gas adsorbed per gram at a pressure of $0.2 \, atm$.