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The adsorption of a gas an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)
Correct answer is between '28.00,30.00'. Can you explain this answer?
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Langmuir Isotherm
Langmuir isotherm is a model used to describe the adsorption of a gas on a solid surface. It assumes that the surface contains a finite number of identical sites that can either be empty or occupied by a gas molecule. The probability of a gas molecule occupying an empty site is proportional to the gas pressure.
Equation
The Langmuir isotherm equation is given by:
θ = Kp/(1+Kp)
where θ is the fractional surface coverage, K is the Langmuir constant, and p is the gas pressure.
Given Data
K = 3.75 kPa-1
θ = 0.1
T = 250°C = 523 K
Solution
We can use the Langmuir isotherm equation to determine the pressure of the gas required to achieve a fractional surface coverage of 10%. Rearranging the equation, we get:
p = (θ/(1-θ))/K
Substituting the given values, we get:
p = (0.1/(1-0.1))/3.75
p = 28.57 kPa
We need to convert the pressure to Pa:
1 kPa = 1000 Pa
p = 28.57 × 1000
p = 28570 Pa
The answer is between 28.00 and 30.00 Pa, so we can round our answer to two decimal places:
Answer: 28.57 Pa (rounded to 2 decimal places, between 28.00 and 30.00 Pa)
Langmuir isotherm is a model used to describe the adsorption of a gas on a solid surface. It assumes that the surface contains a finite number of identical sites that can either be empty or occupied by a gas molecule. The probability of a gas molecule occupying an empty site is proportional to the gas pressure.
Equation
The Langmuir isotherm equation is given by:
θ = Kp/(1+Kp)
where θ is the fractional surface coverage, K is the Langmuir constant, and p is the gas pressure.
Given Data
K = 3.75 kPa-1
θ = 0.1
T = 250°C = 523 K
Solution
We can use the Langmuir isotherm equation to determine the pressure of the gas required to achieve a fractional surface coverage of 10%. Rearranging the equation, we get:
p = (θ/(1-θ))/K
Substituting the given values, we get:
p = (0.1/(1-0.1))/3.75
p = 28.57 kPa
We need to convert the pressure to Pa:
1 kPa = 1000 Pa
p = 28.57 × 1000
p = 28570 Pa
The answer is between 28.00 and 30.00 Pa, so we can round our answer to two decimal places:
Answer: 28.57 Pa (rounded to 2 decimal places, between 28.00 and 30.00 Pa)
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The adsorption of a gas an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. Can you explain this answer?
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The adsorption of a gas an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. 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 an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. 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 an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. Can you explain this answer?.
The adsorption of a gas an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. 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 an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. 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 an a solid surface was found to follow a langmuir isotherm with K = 3.75kPa-1 at a temp of 250C. The pressure of a gas required to achieve a fractional surface coverage of 10% is ______ (in Pa). (upto two decimal places)Correct answer is between '28.00,30.00'. Can you explain this answer?.
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