Question

How many molecules of steric acid are in a milliliter?

Molar Mass of Steric Acid=284 g/mol
Area of a Single Molecule: 0.21 nm^2
Concentration of Steric solution in hexane: 1.64x10^-4 g/mol
Option 1: 6.02x10^17 molecules
Option 2: 4.82x10^19 molecules
Option 3: 2.41x10^21 molecules
Option 4: 1.20x10^22 molecules

Answer 1

By calculating the moles of steric acid using the given concentration and volume, and then converting moles to molecules using Avogadro's number, we get approximately 9.87x10^16 molecules of steric acid in a milliliter, which does not exactly match any of the provided options.

Step-by-step explanation:

To determine how many molecules of steric acid are in a milliliter, we need to calculate the number of moles in 1 mL of the solution and then convert that into molecules. First, we calculate the moles of steric acid using the concentration of the solution and the volume:

Moles of steric Acid = (Concentration in g/mol) x (Volume in L)
= (1.64x10-4 g/mol) x (1x10-3 L)
= 1.64x10-7 moles

Next, we use Avogadro's number to find the number of molecules:

Number of Molecules = (Moles of steric acid) x (Avogadro's number)
= (1.64x10-7 moles) x (6.02x1023 molecules/mol)
= 9.87x1016 molecules

However, none of the provided options exactly match the calculated number of molecules. It suggests that there may have been a misprint in the question or a misunderstanding in the calculation. Please recheck the concentration, the volume, or the provided options.