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At 0°c n2 is adsorbed on a surface a plot of 1/v vs 1/p gives a straight line with a slope, slope =2.0×10 -5 torr m -3 intercept equivalent vm = 4.0×10-8m3 find the adsorption coefficient (b) and no of molecules of n2 forming the monolayer calculate nm =? , b=? , a=?
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At 0°c n2 is adsorbed on a surface a plot of 1/v vs 1/p gives a straig...
Understanding the Problem
We have the following data from the adsorption of nitrogen (N2) at 0°C:
- Slope of the plot (1/V vs 1/P) = 2.0 × 10^-5 torr m^-3
- Intercept (vm) = 4.0 × 10^-8 m³
We need to find the adsorption coefficient (b) and the number of molecules forming the monolayer (nm).
Finding the Adsorption Coefficient (b)
- The slope (m) of the plot is related to the adsorption coefficient (b) by the equation:
m = b/vm
- Rearranging gives us:
b = m × vm
- Substituting the values:
b = (2.0 × 10^-5 torr m^-3) × (4.0 × 10^-8 m³)
- Calculating yields:
b = 8.0 × 10^-13 torr^-1
Calculating the Number of Molecules in the Monolayer (nm)
- The number of molecules in the monolayer (nm) is calculated using Avogadro's number (NA = 6.022 × 10^23 molecules/mol) and the volume of the monolayer (vm):
nm = (vm × P0) / (RT)
- For nitrogen at 0°C (273 K) and standard pressure (P0 = 1 atm):
nm = (4.0 × 10^-8 m³ × 1.013 × 10^5 Pa) / (8.314 J/(mol K) × 273 K)
- After calculating, we find:
nm ≈ 1.0 × 10^10 molecules
Summary of Results
- Adsorption Coefficient (b): 8.0 × 10^-13 torr^-1
- Number of Molecules in Monolayer (nm): 1.0 × 10^10 molecules
This analysis provides a clear understanding of the adsorption characteristics of nitrogen on the given surface under the specified conditions.
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At 0°c n2 is adsorbed on a surface a plot of 1/v vs 1/p gives a straight line with a slope, slope =2.0×10 -5 torr m -3 intercept equivalent vm = 4.0×10-8m3 find the adsorption coefficient (b) and no of molecules of n2 forming the monolayer calculate nm =? , b=? , a=?
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At 0°c n2 is adsorbed on a surface a plot of 1/v vs 1/p gives a straight line with a slope, slope =2.0×10 -5 torr m -3 intercept equivalent vm = 4.0×10-8m3 find the adsorption coefficient (b) and no of molecules of n2 forming the monolayer calculate nm =? , b=? , a=? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about At 0°c n2 is adsorbed on a surface a plot of 1/v vs 1/p gives a straight line with a slope, slope =2.0×10 -5 torr m -3 intercept equivalent vm = 4.0×10-8m3 find the adsorption coefficient (b) and no of molecules of n2 forming the monolayer calculate nm =? , b=? , a=? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At 0°c n2 is adsorbed on a surface a plot of 1/v vs 1/p gives a straight line with a slope, slope =2.0×10 -5 torr m -3 intercept equivalent vm = 4.0×10-8m3 find the adsorption coefficient (b) and no of molecules of n2 forming the monolayer calculate nm =? , b=? , a=?.
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