The extent of adsorption from Langmuir adsorption isotherm is given by xm=aP1+bP
The value of a and b are, respectively:
where, ka and kd are rate constant of adsorption and desorption respectively. K1 is proportionality constant.
A
kakd and kakd
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
K1kakd and kakd
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
K1kakd and kdka
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
K1kdka and kakd
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is BK1kakd and kakd
In Langmuir adsorption isotherm, θ : Fraction of surface covered on adsorbent 1−θ : Free surface are P : Pressure of gas
By langmuir adsorption isotherm, Rate of adsorption ∝ Fraction of surface available for adsorption Rate of adsorption ∝ Pressure of gas ∴ Rate of adsorption ∝P(1−Θ) Rate of adsorption =kaP(1−Θ)
Rate of dessorption ∝ Fraction of surface covered on adsorbent Rate of desorption ∝Θ Rate of desorption =kdΘ ka and kd are rate constants.
At equilibrium condition, Rate of adsorption =Rate of desorption kaP(1−Θ)=kdΘ kdPka=1−ΘΘ 1+kdPka=1Θ Θ=PkaPka+kd Θ=KPKP+1
According to Langmuir, extent of adsorption is proportional to Θ xm∝Θ xm∝KP1+KP