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- The normal freezing point (fp) of a substance is the temperature at which solid and liquid coexist at equilibrium under a pressure of 1 atm.
- The normal boiling point (bp) of a liquid is the temperature at which liquid and vapor coexist at equilibrium under a pressure of 1 atm
- The addition of solutes decreases the freezing point of a solution because collisions between solvent molecules and crystals of solid solvent occur less frequently than in the pure solvent
- The change in freezing point of a solution, DTf, obeys the equation:
DTf = Kf * Xsolute
where Xsolute is the total mole fraction of solutes and Kf is the freezing point depression constant. The constant is different for different solvents but does not depend on the identity of the solutes.
- A boiling point is increased by adding a nonvolatile solute.
- The change in boiling point of a solution, DTb, obeys the equation:
DTb = Kb * Xsolute
where Xsolute is the total mole fraction of solutes and Kb is the boiling point elevation constant. The constant is different for different solvents but does not depend on the identity of the solutes.
- For ionic substances, the total mole fraction of solutes is always greater than the mole fraction of the ionic substance itself.
- We modify the previous equations to account for this:
DTf =i * Kf * Xsolute and DTb =i * Kb * Xsolute
by adding the factor i which is a dimensionless number that gives the number of ions generated in solution by one formula unit of solute.
- A semipermeable membrane allows only selected molecules or ions to pass through it.
- If water passes selectively through a semipermeable membrane, the process is called osmosis.
- Osmotic pressure (P) is the pressure difference necessary to equalize the transfer rates through a semipermeable membrane:
P = MRT
where M is the total molarity of all solutes, T is the temperature in kelvins, and R is the gas constant.
- You can also use osmotic pressure to determine the molar mass of large compounds:
MM = mRT/PV
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