Can someone confirm that I'd be doing this right?

If an 0.520 m aqueous solution freezes at -3.00 C, what is the van't Hoff factor, i, of the solute?

It says I can find the Kf values on a table. I had no idea which Kf value to use... so i just used water... is that right? If not, how do i know which Kf value to use?!

3 = (x)(1.86)(0.520)
x = 3.1?

But i'm majorly confused on how to figure out which Kf constant to use.. please help!

got it thank you to anyone who may have given thought!

To find the van't Hoff factor, i, of the solute, you need to use the freezing point depression equation:

ΔT = Kf * i * m

Where:
ΔT is the change in freezing point (in this case, -3.00°C)
Kf is the cryoscopic constant (freezing point depression constant) specific to the solvent (not water)
i is the van't Hoff factor
m is the molality of the solution (mol solute/kg solvent)

First, it's important to note that the Kf value you need to use is specific to the solvent, not water. Different solvents have different Kf values. The Kf values for certain solvents are typically available in tables or can be found in chemical handbooks.

To determine which Kf value to use, you need to know the solvent in which the solute is dissolved. This information should be provided in the problem statement. If it is not mentioned, you may need to consult your textbook or ask your instructor.

Once you know the solvent, look up the Kf value for that specific solvent. In this case, assuming the solvent is water, you should find the Kf value for water.

Using the given information, let's calculate the van't Hoff factor (i):

ΔT = Kf * i * m

-3.00°C = Kf * i * 0.520 m

Now, substitute the Kf value for water (not provided) and rearrange the equation to solve for i.

i = (-3.00°C) / [Kf * (0.520 m)]

Without knowing the specific Kf value for water, we cannot calculate the exact value of i. However, if you have access to a table of Kf values, you should be able to substitute the correct Kf value and calculate i using the equation above.

Remember to use the appropriate Kf value for the solvent in order to calculate the van't Hoff factor accurately.