Chemistry Exam > Chemistry Questions > The adsorption of a gas follows the Langmuir ...
Start Learning for Free
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............
Correct answer is '200'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kP...
Most Upvoted Answer
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kP...
**Langmuir Isotherm**
The Langmuir isotherm is a mathematical model that describes the adsorption of a gas onto a solid surface. It is based on the assumption that adsorption occurs through the formation of a monolayer of gas molecules on the surface. The Langmuir isotherm equation is given by:
\[ \theta = \frac{{Kp}}{{1 + Kp}} \]
Where:
- θ is the surface coverage (the fraction of surface sites covered by adsorbate molecules)
- K is the equilibrium constant for adsorption
- p is the pressure of the gas
**Given Information**
In the given problem, we are told that the adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa^(-1) at 25°C. We are asked to find the pressure at which the surface coverage is 0.2.
**Solving for Pressure**
We can rearrange the Langmuir isotherm equation to solve for the pressure:
\[ \theta = \frac{{Kp}}{{1 + Kp}} \]
Multiply both sides by (1 + Kp):
\[ \theta (1 + Kp) = Kp \]
Expand the brackets:
\[ \theta + \theta Kp = Kp \]
Rearrange the terms:
\[ \theta = Kp - \theta Kp \]
Combine like terms:
\[ \theta = p(K - \theta K) \]
Divide both sides by (K - θK):
\[ \frac{{\theta}}{{K - \theta K}} = p \]
Substitute the given values:
\[ p = \frac{{0.2}}{{1.25 - (0.2)(1.25)}} \]
Simplify:
\[ p = \frac{{0.2}}{{1.25 - 0.25}} \]
\[ p = \frac{{0.2}}{{1}} \]
\[ p = 0.2 \times 10^3 \, \text{Pa} \]
\[ p = 200 \, \text{Pa} \]
Therefore, the pressure at which the surface coverage is 0.2 is 200 Pa.
The Langmuir isotherm is a mathematical model that describes the adsorption of a gas onto a solid surface. It is based on the assumption that adsorption occurs through the formation of a monolayer of gas molecules on the surface. The Langmuir isotherm equation is given by:
\[ \theta = \frac{{Kp}}{{1 + Kp}} \]
Where:
- θ is the surface coverage (the fraction of surface sites covered by adsorbate molecules)
- K is the equilibrium constant for adsorption
- p is the pressure of the gas
**Given Information**
In the given problem, we are told that the adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa^(-1) at 25°C. We are asked to find the pressure at which the surface coverage is 0.2.
**Solving for Pressure**
We can rearrange the Langmuir isotherm equation to solve for the pressure:
\[ \theta = \frac{{Kp}}{{1 + Kp}} \]
Multiply both sides by (1 + Kp):
\[ \theta (1 + Kp) = Kp \]
Expand the brackets:
\[ \theta + \theta Kp = Kp \]
Rearrange the terms:
\[ \theta = Kp - \theta Kp \]
Combine like terms:
\[ \theta = p(K - \theta K) \]
Divide both sides by (K - θK):
\[ \frac{{\theta}}{{K - \theta K}} = p \]
Substitute the given values:
\[ p = \frac{{0.2}}{{1.25 - (0.2)(1.25)}} \]
Simplify:
\[ p = \frac{{0.2}}{{1.25 - 0.25}} \]
\[ p = \frac{{0.2}}{{1}} \]
\[ p = 0.2 \times 10^3 \, \text{Pa} \]
\[ p = 200 \, \text{Pa} \]
Therefore, the pressure at which the surface coverage is 0.2 is 200 Pa.
Free Test
FREE
| Start Free Test |
Community Answer
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kP...
|
Explore Courses for Chemistry exam
|
|
Similar Chemistry Doubts
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer?
Question Description
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer?.
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer?.
Solutions for The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer?, a detailed solution for The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? has been provided alongside types of The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa–1 at 25°C. The pressure (in Pa) at which surface coverage is 0.2 is..............Correct answer is '200'. Can you explain this answer? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup