no idea how to do this! Please help!
Determine the freezing point of a water solution of fructose( C6H12O6) made by dissolving 59.0 g of fructose in 485g of water. Answer in celcius.
Same method outlined for your other post. Post any work if you get stuck. i will be 1 for fructose since it doesn't ionize.
To determine the freezing point of the water solution of fructose, we need to use the equation for freezing point depression. The equation is:
ΔT = Kf * m
Where:
ΔT = freezing point depression (in Celsius)
Kf = freezing point depression constant (for water, this value is 1.86 °C/m)
m = molality of the solution (in moles of solute per kilogram of solvent)
First, we need to calculate the molality (m) of the fructose solution. Molality is given by:
m = moles of solute / mass of solvent (in kg)
1. Calculate the moles of fructose:
The molar mass of fructose (C6H12O6) is:
(6 * atomic mass of carbon) + (12 * atomic mass of hydrogen) + (6 * atomic mass of oxygen)
= (6 * 12.01 g/mol) + (12 * 1.01 g/mol) + (6 * 16.00 g/mol)
= 72.06 g/mol + 12.12 g/mol + 96.00 g/mol
= 180.18 g/mol
Now, convert the mass of fructose to moles by dividing the given mass by the molar mass:
moles of fructose = 59.0 g / 180.18 g/mol
2. Calculate the molality of the fructose solution:
mass of water = 485 g
mass of water in kg = 485 g / 1000
Now, use the equation for molality:
m = moles of fructose / mass of water in kg
Calculate the value of m.
3. Calculate the freezing point depression:
Now we can use the equation ΔT = Kf * m to find the freezing point depression.
Substitute the value of Kf (1.86 °C/m) and the calculated value of m into the equation. Solve for ΔT.
4. Calculate the freezing point of the solution:
To find the freezing point of the solution, subtract the freezing point depression from the normal freezing point of water (0 °C).
Freezing point of solution = 0 °C - ΔT
Calculate the final freezing point of the solution.
This step-by-step process will enable you to determine the freezing point of the water solution of fructose. Make sure to show all the calculations along the way.