Calculating the Amount of Lauric Acid Dispersed on Water Surface

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SUMMARY

The discussion focuses on calculating the amount of lauric acid (CH3(CH2)10CO2H) dispersed on a water surface area of 500 cm², given the molecular cross-sectional area of 18.2 Ų and a density of 0.78 g/cm³. To solve the problem, one must determine the number of moles of lauric acid required to cover the specified area. The approach involves calculating the effective radius of lauric acid molecules treated as spheres and determining the packing fraction for optimal coverage.

PREREQUISITES
  • Understanding of molecular geometry and packing fractions
  • Knowledge of basic chemistry concepts such as moles and density
  • Familiarity with unit conversions between cm² and Ų
  • Ability to perform calculations involving surface area and volume
NEXT STEPS
  • Learn about calculating molecular packing fractions in two-dimensional arrays
  • Study the concept of moles and how to convert mass to moles using density
  • Explore the properties of lauric acid and its behavior in aqueous solutions
  • Investigate the use of spherical models in molecular chemistry
USEFUL FOR

Chemistry students, researchers in physical chemistry, and anyone interested in surface chemistry and molecular interactions in solutions.

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Homework Statement


Lauric acid , CH3(CH2)10CO2H has been dispersed 500cm2+ on the water surface. Assume that the cross-sectional area of acid molecule to be 18.2A2+ and the density of the initial acid is 0.78gcm3-, calculate the amount of acid that dispersed on the surface of water.

* the problem i face is, i don't know how to find number of moles of lauric acid...
please some one help me...


Homework Equations





The Attempt at a Solution

 
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You need to determine the minimum amount of lauric acid that will cover the surface of area 500 cm2. Each molecule has a cross sectional area of 18.2 square angstroms. Assume the lauric acid can be described by a sphere of radius √(18.2/∏) in angstroms. Find out the best packing fraction that a single layer array of spheres covering a surface would be and count them for 500 cm2.
 

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