Final answer:
The number of molecules of stearic acid in a monolayer is calculated by converting mass to moles and then to molecules using Avogadro's number. The area per molecule is obtained by dividing total area by the number of molecules. The percent error is calculated by comparing the experimental area per molecule to the accepted value of 0.207 nm².
Step-by-step explanation:
To calculate the number of molecules of stearic acid present in a monolayer, you need to convert the mass of stearic acid used to moles and then multiply by Avogadro's number.
The area per molecule (footprint) is then found by dividing the total area covered by the monolayer by the number of molecules.
The percent error can be calculated by comparing the experimental value to the accepted value of the area per molecule of stearic acid, which is 0.207 nm².
To provide the calculation, the actual mass of stearic acid and the total area of the monolayer need to be known from data tables #4 and #7, respectively.
But as we don't have those values, we can explain the calculation like this:
Use the provided mass of stearic acid and molar mass (284.48 g/mol) to find moles: Moles = Mass / Molar Mass.
Multiply moles by Avogadro's number (6.02 x 10²³ molecules/mol) to find the number of molecules.
Divide the total area of the monolayer by the number of molecules to get the area per molecule.
Calculate the percent error: Percent Error = ((Experimental Value - Accepted Value) / Accepted Value) x 100%
Without the specific experimental values, we cannot provide an exact calculation.
Still, this step-by-step process would lead to the desired results when the values are known.