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Question: In the adsorption of a gas on solid, Freundlich isotherm is obeyed. The slope of the plot is zero. T...

In the adsorption of a gas on solid, Freundlich isotherm is obeyed. The slope of the plot is zero. Thus, the extent of adsorption is

A

Directly proportional to the pressure of gas

B

Inversely proportional to the pressure of the gas

C

Independent of the pressure of the gas

D

Proportional to the square of the pressure of the gas.

Answer

Independent of the pressure of the gas

Explanation

Solution

xm=kp1/n\frac{x}{m} = kp^{1/n}

lnxm=lnk+1nlnp[Slope=1n=0]\ln\frac{x}{m} = \ln k + \frac{1}{n}\ln p\left\lbrack \because Slope = \frac{1}{n} = 0 \right\rbrack

Thus, xm=kp0xm=k\frac{x}{m} = kp^{0} \Rightarrow \frac{x}{m} = k