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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3sc050

Adsorption data for a gas on a solid give $x / m = 2.0, 4.0, 6.0 mg g^{- 1}$ at $p = 1, 4, 9 atm$ respectively, fitting the Freundlich equation exactly. Which statements are correct?

A $1/ n = 0.50$
B $k = 4.0 mg g^{- 1} at m^{- 1/2}$
C $x / m = 10.0 mg g^{- 1}$ at $p = 25 atm$
D $n = 2$

Answer: A, C, D

From

p = 1

,

k = 2.0

. Since

x / m

doubles when

p

quadruples,

1/ n = 0.50

and

n = 2

. Then

k = 2.0

(not

4.0

), and at

25 atm

,

x / m = 2.0 \times 5 = 10.0

. Statements 1, 3 and 4 are correct.

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