If you are given .060m. sugar (glucose-C6H12O6), .030m. AlCl3 and .025m. NaOH.

How do you figur out lowest boiling point and lowest vapor pressure of the given solutions?

Lowest boiling point.

delta T = i*Kb*m
Since Kb is a constant, you only need to do i*molality.
i = # dissolved particles. m is molality.
delta T will be the lowest for the smallest product of i*m

To determine the lowest boiling point and lowest vapor pressure of the given solutions (sugar, AlCl3, and NaOH), you need to consider the concept of colligative properties, particularly the effect of solute particles on these properties.

1. Lowest Boiling Point:
The boiling point of a solution is dependent on the vapor pressure exerted by the solution. According to Raoult's law, the vapor pressure of a solution is proportional to the mole fraction of the solvent. In this case, the solvent is water (H2O), considering that sugar (glucose-C6H12O6), AlCl3, and NaOH are soluble in water. Therefore, to find the solution with the lowest boiling point, you need to calculate the mole fraction of water for each solution and identify the one with the lowest value.

To calculate the mole fraction (X) of water for each solution:
a. Sugar solution:
- Assuming the density of a 0.060 M sugar solution is approximately equal to water, you can use the molarity (mol/L) to calculate the number of moles of sugar (glucose) dissolved in the solution.
- You can then divide the moles of water by the total moles (sugar + water) to obtain the mole fraction of water (Xwater).

b. AlCl3 solution:
- AlCl3 is an ionic compound that dissociates into Al3+ and Cl- ions when dissolved in water.
- Look at the stoichiometry to determine the number of moles of water associated with each mole of AlCl3.
- Calculate the moles of water divided by the total moles (AlCl3 + water) to obtain Xwater.

c. NaOH solution:
- NaOH is also an ionic compound that dissociates into Na+ and OH- ions when dissolved in water.
- Use the stoichiometry to determine the number of moles of water associated with each mole of NaOH.
- Calculate the moles of water divided by the total moles (NaOH + water) to obtain Xwater.

Compare the mole fractions of water (Xwater) for all three solutions, and the solution with the lowest Xwater will have the lowest boiling point.

2. Lowest Vapor Pressure:
Vapor pressure is inversely related to the boiling point. Therefore, the solution with the lowest boiling point will have the highest vapor pressure. If you have already determined the solution with the lowest boiling point using the mole fractions of water, it will also have the lowest vapor pressure.

Remember, in both cases, you need to calculate the mole fraction of water for each solution to find the one with the lowest boiling point and lowest vapor pressure.