What are the mole fractions of the components of the solution formed when 92 g glycerol is mixed with 90 g water? (molecular weight water = 18; molecular weight of glycerol = 92)

Step 1: Calculate the moles of each component

The number of moles of a substance can be calculated using the formula:

Number of moles = mass of substance / molar mass of substance

For water: Number of moles = 90 g / 18 g/mol = 5 moles

For glycerol: Number of moles = 92 g / 92 g/mol = 1 mole

Step 2: Calculate the total moles in the solution

Total moles = moles of water + moles of glycerol = 5 moles + 1 mole = 6 moles

Step 3: Calculate the mole fraction of each component

The mole fraction of a component in a solution is the ratio of the number of moles of that component to the total number of moles of all components in the solution.

Mole fraction of water = moles of water / total moles = 5 moles / 6 moles = 0.833

Mole fraction of glycerol = moles of glycerol / total moles = 1 mole / 6 moles = 0.167

So, the mole fraction of water in the solution is 0.833 and the mole fraction of glycerol is 0.167.