What is the mole fraction of glycerol with 16.00% by mass

To find the mole fraction of glycerol with 16.00% by mass, we first need to calculate the moles of glycerol present in a 100g sample.

Assuming the molar mass of glycerol (C3H8O3) is 92.094 g/mol, we can calculate the moles of glycerol as follows:

(16.00 g glycerol) / (92.094 g/mol) = 0.1738 moles

Next, we need to calculate the moles of water in the sample. Since the remaining 84.00% by mass is water, the moles of water can be calculated as:

(84.00 g water) / (18.015 g/mol) = 4.6621 moles

The total moles of the solution is the sum of the moles of glycerol and water:

0.1738 moles + 4.6621 moles = 4.8359 moles

The mole fraction of glycerol can be calculated as:

Mole fraction of glycerol = Moles of glycerol / Total moles of solution
Mole fraction of glycerol = 0.1738 / 4.8359
Mole fraction of glycerol = 0.0359

Therefore, the mole fraction of glycerol with 16.00% by mass is 0.0359.