Calculating the Amount of Lauric Acid Dispersed on Water Surface

AI Thread Summary
To calculate the amount of lauric acid dispersed on a water surface area of 500 cm², one must first determine the number of molecules required to cover that area using the molecule's cross-sectional area of 18.2 Ų. By modeling the lauric acid molecules as spheres, the radius can be calculated to facilitate determining the best packing fraction for a single layer. The density of lauric acid at 0.78 g/cm³ will also be needed to convert the number of molecules into grams and subsequently moles. The key challenge is finding the number of moles of lauric acid based on these calculations. Ultimately, the solution involves combining these elements to arrive at the total amount of lauric acid dispersed.
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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...


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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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