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For a linear plot of log (x/m) versus log P in a Freundlich adsorption isotherm, which of the following statements is correct (k and n are constants):
  • a)
    1/n appears as the intercept
  • b)
    Onl y 1/n appears as the slope
  • c)
    log (1/n) appears as the intercept
  • d)
    Both k and 1/n appear in the slope term
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
For a linear plot of log (x/m) versus log P in a Freundlich adsorption...
Explanation:

The Freundlich adsorption isotherm is an empirical equation that describes the relationship between the concentration of a solute in a solution and the amount of solute adsorbed onto a solid adsorbent at a constant temperature. It is given by the equation:

P = k * (x/m)^n

where P is the amount of solute adsorbed onto the adsorbent, x is the concentration of the solute in the solution, m is the mass of the adsorbent, k is a constant related to the adsorption capacity of the adsorbent, and n is a constant related to the adsorption intensity.

When we take the logarithm of both sides of the equation, we get:

log P = log k + n * log (x/m)

Linear plot of log (x/m) versus log P:

To analyze the linear plot of log (x/m) versus log P, we need to rewrite the equation in the form of a linear equation. We can do this by defining new variables:

y = log P
x' = log (x/m)

The equation then becomes:

y = log k + n * x'

This equation is in the form of a straight line equation, y = mx + c, where m is the slope and c is the intercept.

Interpretation of the linear plot:

- The slope of the line, m, is equal to n. This means that the slope of the linear plot is directly related to the constant n in the Freundlich adsorption isotherm equation.

- The intercept of the line, c, is equal to log k. This means that the intercept of the linear plot is directly related to the constant k in the Freundlich adsorption isotherm equation.

Answer:

Based on the above explanation, the correct statement is option 'b': Only 1/n appears as the slope. The slope of the linear plot of log (x/m) versus log P is equal to the constant n in the Freundlich adsorption isotherm equation.
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For a linear plot of log (x/m) versus log P in a Freundlich adsorption isotherm, which of the following statements is correct (k and n are constants):a)1/n appears as the interceptb)Onl y 1/n appears as the slopec)log (1/n) appears as the interceptd)Both k and 1/n appear in the slope termCorrect answer is option 'B'. Can you explain this answer?
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For a linear plot of log (x/m) versus log P in a Freundlich adsorption isotherm, which of the following statements is correct (k and n are constants):a)1/n appears as the interceptb)Onl y 1/n appears as the slopec)log (1/n) appears as the interceptd)Both k and 1/n appear in the slope termCorrect answer is option 'B'. 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 For a linear plot of log (x/m) versus log P in a Freundlich adsorption isotherm, which of the following statements is correct (k and n are constants):a)1/n appears as the interceptb)Onl y 1/n appears as the slopec)log (1/n) appears as the interceptd)Both k and 1/n appear in the slope termCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a linear plot of log (x/m) versus log P in a Freundlich adsorption isotherm, which of the following statements is correct (k and n are constants):a)1/n appears as the interceptb)Onl y 1/n appears as the slopec)log (1/n) appears as the interceptd)Both k and 1/n appear in the slope termCorrect answer is option 'B'. Can you explain this answer?.
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