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Question

# In the Freundlich adsorption isotherm, log (xm)=log k+1n log p, the value of n is

A
any value from 0 to 1
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B
a positive integer
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C
a negative integer
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D
a positive or a negative fractional number
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Solution

## The correct option is B a positive integerBy Freundlich Adsorption Isotherm, log (xm)=logk+1nlogP xm is the extent of adsorption which means the amount of gas adsorbed by the adsorbent with pressure at constant temperature. k and n are constants that depends on the nature of gas and adsorbent. In Freundlich Adsorption Isotherm, At low temperature, the isotherm is a straight line ∴ 1n=1 ⇒xm=kp At intermediate pressure, 0<1n<1 Hence, ⇒xm=k p1n At high pressure, the extent of adsorption attains a constant value and becomes independent of pressure. Thus, 1n=0 ⇒xm=k Hence, The value of 1n lies between 0 to 1 under different pressure ranges. So the value of 'n' cannot be a negative integer or a fractional number. It can only be a positive integer.

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