Question

Adsorption of a gas follows Freundlich adsorption isotherm. x is the mass of the gas adsorbed on mass m of the adsorbent. The x plot of log `x/m` versus log p is shown in the given graph. `x/m` is proportional to ______.

Options

• `p^(2//3)`

• `p^(3//2)`

• p³

• p²

Answer 1

Adsorption of a gas follows Freundlich adsorption isotherm. x is the mass of the gas adsorbed on mass m of the adsorbent. The x plot of log `x/m` versus log p is shown in the given graph. `x/m` is proportional to `underline(p^(2//3))`.

Explanation:

According to Freundlich adsorption isotherm

`x/m = "Kp"^(1//"n")`

Taking logarithm on both sides we get

`log x/m = log "K" + 1/"n" log "p"`

Comparing equation for straight line we get,

y = mx + C

Slope (m) = `1/"n"`

`1/"n"` value lies between 0 and 1

It is only possible when `1/"n" = 2/3`