If x/m is the mass of adsorbate adsorbed per unit mass of adsorbent, P is the pressure of the adsorbate gas ,a and b are constant ,which of the following represent "Langmuir adsorption isotherm"?

Options

A. `log"" (x/m) = log""(a/b) + 1/a log p`
B. `(xb)/(m)=1/a+ap`
C. `x_1/m=(bp)/(ap)`
D. `(1b)/((x//r))=1/(ma)+a_1`

Explanation

According to Langmuir adsorption isotherm
`x/m=(ap)/(1ap) or (x//ma)/(P1bP) or P/x=1/m+b/a aP`

Alternatively, writing the equation in the inverse form, we have `m/x=1/(ap)=b/a+p/ab/p`