How can we determine the mole fraction of sucrose in a solution?
To determine the mole fraction of sucrose in a solution, we follow these steps:
- Calculate the moles of sucrose (C12H22O11).
- Calculate the moles of water (H2O).
- Calculate the total moles in the solution.
- Calculate the mole fraction of sucrose (C12H22O11).
The mole fraction of sucrose (C12H22O11) in the solution is approximately 0.8279.
Calculating Moles of Sucrose (C12H22O11)
To calculate the moles of sucrose (C12H22O11), we first determine the molar mass of C12H22O11, which is 342.30 g/mol. By dividing the mass of sucrose (52 g) by its molar mass, we find that the moles of C12H22O11 is approximately 0.1515 mol.
Calculating Moles of Water (H2O)
The molar mass of water (H2O) is 18.02 g/mol. Using the given volume of water and density of water, we calculate the moles of water to be approximately 0.0314 mol.
Calculating Total Moles in the Solution
By adding the moles of sucrose and moles of water together, we find the total moles in the solution to be approximately 0.1829 mol.
Calculating Mole Fraction of Sucrose (C12H22O11)
Finally, we calculate the mole fraction of sucrose by dividing the moles of sucrose by the total moles in the solution. The mole fraction of sucrose (C12H22O11) is approximately 0.8279.
Therefore, the mole fraction of sucrose in the solution is approximately 0.8279.