What is the boiling point of the water in your radiator if 2.00kg of antifreeze (ethylene glycol, C2H6O2) is added to 9.00x10^3 grams of water?

moles antifreeze = grams/molar mass

molality = moles antifreeze/kg solvent.
delta T = Kb*molality.

To find the boiling point of the water in your radiator after adding antifreeze, you can use the equation:

ΔT = Kf * m * i

Where:
ΔT is the change in boiling point
Kf is the molal boiling point elevation constant (depends on the solvent)
m is the molality of the solution (moles of solute per kg of solvent)
i is the van't Hoff factor (number of particles solute breaks into when dissolved)

First, we need to calculate the molality of the solution. The molality (m) is given by the equation:

m = n_solute / m_solvent

Given that 2.00 kg of antifreeze (ethylene glycol, C2H6O2) is added, we need to calculate the number of moles of ethylene glycol:

n_solute = m_solute / Molar mass

The molar mass of ethylene glycol (C2H6O2) is:
(2 * atomic mass of carbon) + (6 * atomic mass of hydrogen) + (2 * atomic mass of oxygen)

Once we have the molality (m), we can calculate the change in boiling point (ΔT) using the equation above.

Finally, we can sum the boiling point elevation (ΔT) to the normal boiling point of water (100°C) to find the boiling point of the water in your radiator.

Let's do the calculations step by step:

Step 1: Calculate the molar mass of ethylene glycol (C2H6O2):

Molar mass of carbon = 12.01 g/mol
Molar mass of hydrogen = 1.01 g/mol
Molar mass of oxygen = 16.00 g/mol

Molar mass of ethylene glycol (C2H6O2) = (2 * 12.01) + (6 * 1.01) + (2 * 16.00) g/mol

Step 2: Calculate the number of moles of ethylene glycol:

n_solute = 2.00 kg / molar mass of ethylene glycol

Step 3: Calculate the molality (m) of the solution:

m = n_solute / m_solvent

To calculate m_solvent, we convert 9.00x10^3 grams of water to kg:

m_solvent = 9.00x10^3 g / 1000

Step 4: Calculate the change in boiling point (ΔT):

Here we need the molal boiling point elevation constant (Kf) for water. Typically, the value is 0.512 °C/m for water. Assuming that value:

ΔT = 0.512 * m * i

The van't Hoff factor (i) for ethylene glycol is 1, as it does not dissociate in water.

Step 5: Calculate the boiling point of water in your radiator:

Boiling point of water in the radiator = Normal boiling point of water (100°C) + ΔT

By following these steps, you should be able to calculate the boiling point of the water in your radiator after adding the antifreeze.