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The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa-1 at 25oC. The pressure in Pascal at which surface coverage is 0.2 is___? (rounded up to two decimal place)
Correct answer is '200'. Can you explain this answer?
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The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kP...
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The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kP...
Langmuir Isotherm
The Langmuir isotherm is a model that describes the adsorption of gas molecules onto a solid surface. The model assumes that there are a finite number of adsorption sites on the surface and that each site can only adsorb one gas molecule at a time. The Langmuir isotherm is expressed mathematically as follows:
θ = Kp / (1 + Kp)
where θ is the fractional surface coverage, K is the Langmuir constant (in units of pressure), and p is the gas pressure.
Solution
Given: K = 1.25 kPa-1, θ = 0.2
We can rearrange the Langmuir isotherm equation to solve for p:
p = (1/K) * (θ / (1 - θ))
Substituting the given values, we get:
p = (1/1.25) * (0.2 / (1 - 0.2)) = 200 Pa
Since the answer is required in Pascal, we don't need to convert the Langmuir constant from kPa-1 to Pa-1. The answer is rounded up to two decimal places, giving a final answer of 200 Pascal.
The Langmuir isotherm is a model that describes the adsorption of gas molecules onto a solid surface. The model assumes that there are a finite number of adsorption sites on the surface and that each site can only adsorb one gas molecule at a time. The Langmuir isotherm is expressed mathematically as follows:
θ = Kp / (1 + Kp)
where θ is the fractional surface coverage, K is the Langmuir constant (in units of pressure), and p is the gas pressure.
Solution
Given: K = 1.25 kPa-1, θ = 0.2
We can rearrange the Langmuir isotherm equation to solve for p:
p = (1/K) * (θ / (1 - θ))
Substituting the given values, we get:
p = (1/1.25) * (0.2 / (1 - 0.2)) = 200 Pa
Since the answer is required in Pascal, we don't need to convert the Langmuir constant from kPa-1 to Pa-1. The answer is rounded up to two decimal places, giving a final answer of 200 Pascal.
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The adsorption of a gas follows the Langmuir isotherm with K = 1.25 kPa-1 at 25oC. The pressure in Pascal at which surface coverage is 0.2 is___? (rounded up to two decimal place)Correct answer is '200'. Can you explain this answer?
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