i'm trying to determine the freezing point of a salt and water mixture. I'm confused about what i need to do. Could someone help me out with the formula?
If we start with the water, we know the freezing point of pure water under standard conditions to be \(0 ^o C \). When we add a salt, we have freezing point depression occurring. This is a colligative property based on molal of solute added, number of solute particles created by dissociation, and a special molal freezing point depression constant (which is often provided). The formula: \( \Delta T = K_f m \times i\) Where \(\Delta T\) is the change in temperature (in this case, from \(0 ^o C\)), \(K_f\) is the constant (in this case, for water it is 1.86), \(m\) is the concentration of solute per solvent (molality), and \(i\) is called the "van't Hoff factor" for how many solute particles are created. E.g. NaCl --> Na+, Cl- :: 2 solute particles CaCl2 --> Ca2+, 2 Cl- :: 3 solute particles
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