Why are powdered substances more effective adsorbents than their crystalline forms?

When $200 \, mL$ of $0.2 \, M$ acetic acid is shaken with $0.6 \, g$ of wood charcoal,the final concentration of acetic acid after adsorption is $0.1 \, M$. The mass of acetic acid adsorbed per gram of carbon is $...... \, g$.

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 $\log 3 = 0.4771$)

Which one of the following statements is correct?

The principle of $Adsorption$ is used in which of the following purification methods?

$10 \ g$ 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?