Adsorption

At a given temperature, 0.45 g of acetic acid in 50 mL of water is shaken with 1.0 g of charcoal and the pH of the resulting solution is 3.0. Assume the adsorption of acetic acid from the aqueous solution by charcoal follows Freundlich isotherm,
$$\frac xm=kC^{1/n}$$
If the plot of $\log_{10}(x/m)$ against $\log_{10}C$ gives a straight line with slope 1, the value of $k$ in L mol$^{-1}$ is ____.

Given: The molar mass of acetic acid is 60 g mol$^{-1}$.
The acid dissociation constant of acetic acid is $1.0\times10^{-5}$ at the given temperature.
$x$ is the mass (in grams) of acetic acid adsorbed.
$m$ is the mass (in grams) of charcoal.
$C$ is the equilibrium concentration of acetic acid in the solution after the adsorption is complete.
$k$ and $n$ are constants for acetic acid-charcoal system at the given temperature.

Adsorption of phenol from its aqueous solution on to fly ash obeys Freundlich isotherm. At a given temperature, from $10\ \mathrm{mg\,g^{-1}}$ and $16\ \mathrm{mg\,g^{-1}}$ aqueous phenol solutions, the concentrations of adsorbed phenol are measured to be $4\ \mathrm{mg\,g^{-1}}$ and $10\ \mathrm{mg\,g^{-1}}$, respectively. At this temperature, the concentration (in $\mathrm{mg\,g^{-1}}$) of adsorbed phenol from $20\ \mathrm{mg\,g^{-1}}$ aqueous solution of phenol will be _____.

Use: $\log_{10}2 = 0.3$

To form a complete monolayer of acetic acid on 1 g of charcoal, 100 mL of 0.5 M acetic acid was used. Some of the acetic acid remained unadsorbed. To neutralize the unadsorbed acetic acid, 40 mL of 1 M NaOH solution was required. If each molecule of acetic acid occupies $\mathbf{P}\times10^{-23}\,\mathrm{m^2}$ surface area on charcoal, the value of P is _____.

[Use given data: Surface area of charcoal $= 1.5\times10^2\,\mathrm{m^2\,g^{-1}}$; Avogadro's number $(N_A) = 6.0\times10^{23}\,\mathrm{mol^{-1}}$]

The correct option(s) related to adsorption processes is(are)

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.

2.0 g of $\mathrm{H_2}$ gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is ______ mL.

(Given : $R=0.083$ L bar K$^{-1}$ mol$^{-1}$)

If the initial pressure of a gas is 0.03 atm, the mass of the gas adsorbed per gram of the adsorbent is ______ $\times10^{-2}$ g.

100 mL of 0.3 M acetic acid is shaken with 0.8 g of wood charcoal. The final concentration of acetic acid in the solution after adsorption is 0.125 M. The mass of acetic acid adsorbed per gram of carbon is ______ $\times10^{-4}$ g.

(Given : Molar mass of acetic acid = 60 g mol$^{-1}$)

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Activated charcoal adsorbs $\mathrm{SO_2}$ more efficiently than $\mathrm{CH_4}$.

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.

Among the following the number of curves not in accordance with Freundlich adsorption isotherm is ______.

Given below are the critical temperatures of some of the gases:

Gas	Critical temperature (K)
He	5.2
CH$_4$	190.0
CO$_2$	304.2
NH$_3$	405.5

The gas showing least adsorption on a definite amount of charcoal is

Freundlich's adsorption isotherm (in terms of concentration) is given by the expression; $\dfrac xm=K\cdot C^{1/n}$. The possible conclusions that can be drawn from the expression are :

(A) When $\frac1n=1$, the adsorption is directly proportional to concentration.

(B) When $\frac1n=0$, the adsorption is independent of concentration.

(C) When n = 0, a plot of x/m vs C is a line parallel to x-axis

(D) When n = 0, a plot of x/m vs C is a curve.

Choose the correct option from the following :

In Freundlich adsorption isotherm, slope of AB line is :

The correct statement(s) about surface properties is(are)

Among the following, correct statement is :

Adsorption of a gas on a surface follows Freundlich adsorption isotherm. Plot of $\log\dfrac xm$ versus log p gives a straight line with slope equal to 0.5, then :

($\dfrac xm$ is the mass of the gas adsorbed per gram of adsorbent)

For a linear plot of log (x/m) versus log p in a Freundlich adsorption isotherm, which of the following statements is correct ? (k and n are constants)

A particular adsorption process has the following characteristics : (i) It arises due to van der Waals forces and (ii) it is reversible. Identify the correct statement that describes the above adsorption process :

When $\ce{O2}$ is adsorbed on a metallic surface, electron transfer occurs from the metal to $\ce{O2}$. The TRUE statement(s) regarding this adsorption is(are)

3 g of activated charcoal was added to 50 mL of acetic acid solution (0.06N) in a flask. After an hour it was filtered and the strength of the filtrate was found to be 0.042 N. The amount of acetic acid adsorbed (per gram of charcoal) is :