Suppose you are given a list of solutions (all with nonvolatile solutes) and their concentrations. You pick out the one with the lowest freezing point. It should also have (pick all that apply):

the lowest boiling point
the highest osmotic pressure
the lowest solvent vapor pressure
the highest boiling point
the highest solvent vapor pressure
the lowest osmotic pressure

i picked lowest boiling point, highest solvent vapor pressure, and lowest osmotic pressure. But it was wrong.

I think you picked all of the wrong ones.

delta T = Kf*m.
Thus for delta T to be the most, the freezing point will be the lowest. Now convert that information to boiling point.
delta T = Kf*m
For delta T to b the most, that means boiling point will be the highest.
pi = MRT for osmotic pressure. Since delta T is the highest, then molality must be the highest; therefore, pi (osmotic pressure) must be the highest.
Psoln = X<solvent>*Posolvent
If delta T is highest, molality must be the most(for the solute); therefore, the SOLVENT must be less and that will give a smaller vapor pressure.
Check my thinking.

To determine the solution with the lowest freezing point, we need to consider the colligative properties of solutions. Colligative properties depend on the concentration of solute particles, rather than the identity of the solute itself. The four colligative properties we generally consider are freezing point depression, boiling point elevation, osmotic pressure, and solvent vapor pressure reduction.

Given that the solutes in the solutions are nonvolatile, we can eliminate boiling point elevation and solvent vapor pressure reduction as possible answers. These two properties are affected by volatile solutes, which lower the vapor pressure and increase the boiling point of the solvent.

Now, considering the remaining options, let's evaluate them:

1. Lowest boiling point: As mentioned earlier, this property is not relevant in the case of nonvolatile solutes.

2. Highest osmotic pressure: Osmotic pressure is directly related to the concentration of solute particles in a solution. The greater the concentration, the higher the osmotic pressure. Therefore, the solution with the highest osmotic pressure would have a higher solute concentration, contradicting the goal of finding the one with the lowest freezing point.

3. Highest solvent vapor pressure: This property is again influenced by volatile solutes. In nonvolatile solutions, the solvent vapor pressure remains unaffected, so the solution with the highest solvent vapor pressure is also irrelevant.

Given this explanation, the most appropriate answer from the options provided is "the lowest osmotic pressure." A solution with the lowest osmotic pressure will have the lowest concentration of solute particles, resulting in the greatest reduction in freezing point.