freezin point of the solution 25.5g c7h11no7s in 1 x 100gh2O (nonionizing solute)

To find the freezing point of a solution, you need to use the concept of freezing point depression. The freezing point depression is the difference between the freezing point of a pure solvent and the freezing point of the solution.

In this case, you have a nonionizing solute, which means it does not dissociate into ions when dissolved in water. This simplifies the calculations.

To find the freezing point depression, you need to know the molality (moles of solute per kilogram of solvent) of the solution. To calculate molality, you need to know the moles of solute and the mass of the solvent in kilograms.

First, let's calculate the molality:

Moles of solute (C7H11NO7S) = mass / molar mass

Molar mass of C7H11NO7S = (7*12.01) + (11*1.01) + (1*14.01) + (7*16.00) + 32.06
= 277.28 g/mol

Moles of solute = 25.5 g / 277.28 g/mol

Next, we need to convert the mass of water to kilograms:

Mass of water (H2O) = 100 g = 0.1 kg

Finally, let's calculate the molality:

Molality (m) = moles of solute / mass of water

Now that we have the molality, we can calculate the freezing point depression using the formula:

ΔT = Kf * m

Where ΔT is the freezing point depression, Kf is the cryoscopic constant (specific to the solvent), and m is the molality of the solution.

The cryoscopic constant for water is approximately 1.86 °C·kg/mol.

Now, substitute the values into the equation to find the freezing point depression (ΔT):

ΔT = 1.86 °C·kg/mol * molality

Once you calculate ΔT, you can find the freezing point of the solution by subtracting ΔT from the freezing point of pure water.

Freezing point of solution = Freezing point of pure water - ΔT

Please note that the freezing point depression equation assumes ideal behavior and does not account for other factors that may affect the freezing point.