Freundlich adsorption isotherm is given by the expression x/m = KP1/n. Which of the following conclusions can be drawn from this expression?a.When n = 0, plot of x/m vs p is a curve.b.When 1/n = 0, the adsorption is independent of pressure.c.When 1n = 0, the adsorption is directly proportional to pressure.d.When n = 0, x/m vs p graph is a line parallel to x-axis.
Question
Freundlich adsorption isotherm is given by the expression x/m = KP1/n. Which of the following conclusions can be drawn from this expression?a.When n = 0, plot of x/m vs p is a curve.b.When 1/n = 0, the adsorption is independent of pressure.c.When 1n = 0, the adsorption is directly proportional to pressure.d.When n = 0, x/m vs p graph is a line parallel to x-axis.
Solution
The Freundlich adsorption isotherm is an empirical relation between the quantity of gas adsorbed by a solid to the pressure of gas, given by the expression x/m = KP1/n. Here, x is the mass of the gas adsorbed, m is the mass of the adsorbent, P is the pressure, K and n are constants.
a. When n = 0, the expression becomes x/m = K, which is a constant. This means that the adsorption does not depend on the pressure. So, the plot of x/m vs P would be a horizontal line, not a curve.
b. When 1/n = 0, this implies that n is approaching infinity. This would make P1/n approach 0 for any finite value of P, making x/m = K*0 = 0. This means that no adsorption would occur, regardless of the pressure.
c. The term 1n = 0 is not mathematically valid, so no conclusion can be drawn from this.
d. As explained in point a, when n = 0, the plot of x/m vs P is a line parallel to the x-axis, indicating that the adsorption is independent of pressure.
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