Access free live classes and tests on the app
Download
+
Unacademy
  • Goals
    • AFCAT
    • AP EAMCET
    • Bank Exam
    • BPSC
    • CA Foundation
    • CAPF
    • CAT
    • CBSE Class 11
    • CBSE Class 12
    • CDS
    • CLAT
    • CSIR UGC
    • GATE
    • IIT JAM
    • JEE
    • Karnataka CET
    • Karnataka PSC
    • Kerala PSC
    • MHT CET
    • MPPSC
    • NDA
    • NEET PG
    • NEET UG
    • NTA UGC
    • Railway Exam
    • SSC
    • TS EAMCET
    • UPSC
    • WBPSC
    • CFA
Login Join for Free
avtar
  • ProfileProfile
  • Settings Settings
  • Refer your friendsRefer your friends
  • Sign outSign out
  • Terms & conditions
  • •
  • Privacy policy
  • About
  • •
  • Careers
  • •
  • Blog

© 2023 Sorting Hat Technologies Pvt Ltd

Watch Free Classes
    • Free courses
    • JEE Main 2024
    • JEE Main 2024 Live Paper Discussion
    • JEE Main Rank Predictor 2024
    • JEE Main College Predictor 2024
    • Stream Predictor
    • JEE Main 2024 Free Mock Test
    • Study Materials
    • Notifications
    • JEE Advanced Syllabus
    • JEE Books
    • JEE Main Question Paper
    • JEE Coaching
    • Downloads
    • JEE Notes & Lectures
    • JEE Daily Videos
    • Difference Between
    • Full Forms
    • Important Formulas
    • Exam Tips
JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Freundlich and Langmuir Adsorption Isotherms

Freundlich and Langmuir Adsorption Isotherms

Freundlich proposed an empirical connection between the quantity of gas adsorbed by a unit mass of solid adsorbent and pressure, However Langmuir suggested the notion of gas adsorption on a solid's surface to be formed of elementary sites.

Table of Content
  •  

Adsorption occurs when a liquid or gas particle adheres to the surface of an adsorbent, causing an atomic layer to develop on the adsorbate. This is distinct from absorption, in which the solute diffuses into the solid rather than on its surface. In this article, we will go through the various terms and laws related to it. The concentration of the adsorbent grows exclusively on the adsorbent’s surface during adsorption. Adsorption isotherms have proved extremely useful in studies involving environmental protection and adsorption strategies. The Freundlich and Langmuir isotherms are the two basic approaches for estimating the adsorption capacity of a particular substance.

Adsorption Isotherm 

Definition

The quantity of gas adsorption per unit mass of adsorbent depends on the gas pressure. The relation between the quantity of adsorbent at a constant temperature and the pressure (or concentration for a solution) of the equilibrium gas is known as Adsorption Isotherm.

Example

Water Adsorption – In these disciplines, water adsorption at surfaces is crucial. The presence of physically or chemically adsorbed water at the surfaces of solids is referred to as water adsorption, also known as surface hydration. This is important for controlling interface characteristics, chemical reaction routes, and catalytic performance in a range of systems. In the case of physically adsorbed water, surface hydration is normally removed by the drying process, which happens at temperature and pressure conditions and results in total vaporisation of water. Chemically adsorbed water can be hydrated by dissociative adsorption or molecular adsorption.

Freundlich Adsorption Isotherms

Freundlich, a German physicist, proposed an empirical connection between the quantity of gas adsorbed by a unit mass of solid adsorbent and pressure at a given temperature in 1909. It is denoted by the following equation.

x/m = k.P1/n (n > 1)

Where ‘x’ is the mass of the gas adsorbed on the adsorbent mass ‘m’ at pressure ‘P’. ‘k’ and ‘n’ are constants that vary depending on the adsorbent and gas at a given temperature.

To demonstrate the connection, the mass of gas adsorbed per gram of adsorbent is plotted versus pressure in the shape of a curve.

Physical adsorption reduces with increasing temperature at a constant pressure. At high pressure, the curves reach saturation. Take the log of the above equation 

log x/m = log k + 1/n log P

Testing the Validity

We can plot log x/m on the y-axis and log P on the x-axis to test the validity of the Freundlich isotherm. The Freundlich isotherm is valid if the plot shows a straight line; otherwise, it is not. The slope of the straight line equals 1/n, but the intercept on the y-axis equals log k.

Langmuir Adsorption Isotherms

Langmuir suggested the notion of gas adsorption on a solid’s surface to be formed of elementary sites, each of which would adsorb one gas. All adsorption sites are believed to be equal, and a gas molecule’s capacity to attach to any one site is independent of whether or not the neighbouring sites are occupied. Furthermore, it is believed that adsorbed and non-adsorbed gas molecules are in dynamic equilibrium.

The following equation illustrates the Langmuir adsorption model:

Ce/qm=1/Klqmax+Ce/qmax

Ce (mg L-¹) and qm (mg g-¹) are the concentrations of the molecules at equilibrium and the amount of adsorbed molecules on the adsorbent’s surface at any time, respectively. In the equation above,  The maximal adsorption capacity (mg g-1) is represented by qmax, while the Langmuir constant (L mg-1) is represented by KL.

Application of Adsorption Isotherm

  • Gas masks: To absorb harmful gases, coal miners frequently employ gas masks (a device consisting of activated charcoal or a mixture of adsorbents).
  • Humidity control: Adsorbents such as silica and aluminium gels are used to extract moisture and regulate humidity.
  • Removes Colour from Solution: Animal charcoal eliminates colours from solutions by adsorbing coloured contaminants.
  • Curing diseases: Several medicines are used in illness treatment to kill germs by becoming adsorbent on them.
  • Froth floatation: A low-grade sulphide ore is concentrated by separating it from silica and other earthy materials using pine oil and a foaming agent.
  • Adsorption indicators: Surfaces of some precipitates, such as silver halides, adsorb dyes such as eosin, fluorescein, and others, resulting in a unique colour at the terminus.
  • Chromatographic analysis: Chromatographic analysis, which is based on the adsorption phenomenon, has many applications in analytical and industrial sectors.

Conclusion 

The quantity of gas adsorption per unit mass of adsorbent depends on the gas pressure. The relation between the quantity of adsorbent at a constant temperature and the pressure (or concentration for a solution) of the equilibrium gas is known as Adsorption Isotherm. Freundlich, who was a German physicist, proposed an empirical connection between the quantity of gas adsorbed by a unit mass of solid adsorbent and pressure at a given temperature in 1909. All adsorption sites are believed to be equal, and a gas molecule’s capacity to attach to any one site is independent of whether or not the neighbouring sites are occupied.

faq

Frequently asked questions

Get answers to the most common queries related to the JEE Examination Preparation.

What exactly are the Langmuir and Freundlich isotherms?

Ans: Following the Freundlich adsorption isotherm are the Langmuir adsorption isotherms and the BET theory. Adsorption isotherms predicted by Langm...Read full

What are the uses of the Langmuir adsorption isotherm?

Ans: The Langmuir adsorption isotherm describes the equilibrium between an adsorbate and an adsorbent system in which adsorbate adsorption is confi...Read full

How is the Freundlich isotherm calculated?

Ans: The Freundlich adsorption isotherm is generally given as an empirical equation, whereas the (fractal) Langmuir adsorption isotherm is obtained...Read full

Multilayer adsorption is a form of adsorption but of What Type?.

Ans: In the case of physical adsorption, adsorption is multilayered. Chemisorption, on the other hand, is unilayer because it includes the establis...Read full

What are the values that produce a straight line when plotted in the Freundlich adsorption isotherm?

Ans: The Freundlich adsorption isotherm governs the adsorption of a gas on a surface. If a straight line with a slope of 0.5 is plotted against log...Read full

Ans: Following the Freundlich adsorption isotherm are the Langmuir adsorption isotherms and the BET theory. Adsorption isotherms predicted by Langmuir anticipate linear adsorption at low adsorption densities and maximal surface coverage at increasing solute metal concentrations.

Ans: The Langmuir adsorption isotherm describes the equilibrium between an adsorbate and an adsorbent system in which adsorbate adsorption is confined to one molecular layer at or before a relative pressure of unity is attained.

Ans: The Freundlich adsorption isotherm is generally given as an empirical equation, whereas the (fractal) Langmuir adsorption isotherm is obtained from kinetics. Their constants, however, are calculated through a thermodynamic technique.

Ans: In the case of physical adsorption, adsorption is multilayered. Chemisorption, on the other hand, is unilayer because it includes the establishment of a chemical connection between adsorbate and adsorbent molecules.

Ans: The Freundlich adsorption isotherm governs the adsorption of a gas on a surface. If a straight line with a slope of 0.5 is plotted against log mx versus log p, then: (mx is the mass of gas adsorbed per gram of adsorbent)

Crack IIT JEE with Unacademy

Get subscription and access unlimited live and recorded courses from India’s best educators

  • Structured syllabus
  • Daily live classes
  • Ask doubts
  • Tests & practice
Learn more

Notifications

Get all the important information related to the JEE Exam including the process of application, important calendar dates, eligibility criteria, exam centers etc.

Allotment of Examination Centre
JEE Advanced Eligibility Criteria
JEE Advanced Exam Dates
JEE Advanced Exam Pattern 2023
JEE Advanced Syllabus
JEE Application Fee
JEE Application Process
JEE Eligibility Criteria 2023
JEE Exam Language and Centres
JEE Exam Pattern – Check JEE Paper Pattern 2024
JEE Examination Scheme
JEE Main 2024 Admit Card (OUT) – Steps to Download Session 1 Hall Ticket
JEE Main Application Form
JEE Main Eligibility Criteria 2024
JEE Main Exam Dates
JEE Main Exam Pattern
JEE Main Highlights
JEE Main Paper Analysis
JEE Main Question Paper with Solutions and Answer Keys
JEE Main Result 2022 (Out)
JEE Main Revised Dates
JEE Marking Scheme
JEE Preparation Books 2024 – JEE Best Books (Mains and Advanced)
Online Applications for JEE (Main)-2022 Session 2
Reserved Seats
See all

Related articles

Learn more topics related to Physics
Zinc-Carbon Cell

The battery you use every day in your TV remote or torch is made up of cells and is also known as a zinc-carbon cell. Read on to know more.

ZEROTH LAW OF THERMODYNAMICS

Read about the Zeroth law of thermodynamics. Learn about the zeroth law definitions and their examples.

Zener Diode As A Voltage Regulator

Understand the concepts of Zener diodes. Also, learn about the efficiency and limitations of Zener Diode as a Voltage Regulator.

Zener diode as a voltage regulator

zener diode is a very versatile semiconductor that is used for a variety of industrial processes and allows the flow of current in both directions.It can be used as a voltage regulator.

See all
Access more than

10,505+ courses for IIT JEE

Get subscription

Trending Topics

  • JEE Main 2024
  • JEE Main Rank Predictor 2024
  • JEE Main Mock Test 2024
  • JEE Main 2024 Admit Card
  • JEE Advanced Syllabus
  • JEE Preparation Books
  • JEE Notes
  • JEE Advanced Toppers
  • JEE Advanced 2022 Question Paper
  • JEE Advanced 2022 Answer Key
  • JEE Main Question Paper
  • JEE Main Answer key 2022
  • JEE Main Paper Analysis 2022
  • JEE Main Result
  • JEE Exam Pattern
  • JEE Main Eligibility
  • JEE College predictor
combat_iitjee

Related links

  • JEE Study Materials
  • CNG Full Form
  • Dimensional Formula of Pressure
  • Reimer Tiemann Reaction
  • Vector Triple Product
  • Swarts Reaction
  • Focal length of Convex Lens
  • Root mean square velocities
  • Fehling’s solution
testseries_iitjee
Subscribe Now
. document.querySelector('.targetTopBtn').onClick = topFunction; function topFunction() { window.scrollTo({ top: 0, behavior: 'smooth' }) }
Company Logo

Unacademy is India’s largest online learning platform. Download our apps to start learning


Starting your preparation?

Call us and we will answer all your questions about learning on Unacademy

Call +91 8585858585

Company
About usShikshodayaCareers
we're hiring
BlogsPrivacy PolicyTerms and Conditions
Help & support
User GuidelinesSite MapRefund PolicyTakedown PolicyGrievance Redressal
Products
Learner appLearner appEducator appEducator appParent appParent app
Popular goals
IIT JEEUPSCSSCCSIR UGC NETNEET UG
Trending exams
GATECATCANTA UGC NETBank Exams
Study material
UPSC Study MaterialNEET UG Study MaterialCA Foundation Study MaterialJEE Study MaterialSSC Study Material

© 2026 Sorting Hat Technologies Pvt Ltd

Unacademy
  • Goals
    • AFCAT
    • AP EAMCET
    • Bank Exam
    • BPSC
    • CA Foundation
    • CAPF
    • CAT
    • CBSE Class 11
    • CBSE Class 12
    • CDS
    • CLAT
    • CSIR UGC
    • GATE
    • IIT JAM
    • JEE
    • Karnataka CET
    • Karnataka PSC
    • Kerala PSC
    • MHT CET
    • MPPSC
    • NDA
    • NEET PG
    • NEET UG
    • NTA UGC
    • Railway Exam
    • SSC
    • TS EAMCET
    • UPSC
    • WBPSC
    • CFA

Share via

COPY