Question

For adsorption of gas over solid surface following data is obtained at 300 K.

Pressure of gas (mm of Hg)	100	25
Amount adsorged per kg of charcoal	3 gm	1.5 gm

The slope of the graph between log P vs log x/m will be ______.

[x/m and P are in same units as given in question.]

Options

• 1

• 0

• 2

• 5

Answer 1

The slope of the graph between log P vs log x/m will be 2.

Explanation:

`log  x/m = log "K" + 1/"n"  log "P"`

log P = n log `x/m` + log K

`3/1.5 = ("K" (100)^(1//"n"))/("K"(25)^(1//"n"))`

2 = 2^2/n

`=> 2/"n" = 1`

 ⇒ n = 2