Question

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

Options

• P⁴

• P³

• `"P"^(4/3)`

• `"P"^(3/4)`

Answer 1

`"P"^(3/4)`

Explanation:

According to the Freundlich adsorption isotherm:

`"x"/"m" ∝ "P"^(1/"n")`

∴ `log  "x"/"m" = log "k" + 1/"n" log "P"`

This corresponds to the equation of a straight line: y = mx + c

∴ Slope of the line (m) is equal to `1/"n" = 3/4`

∴ `"x"/"m" ∝ "P"^(3/4)`