Quantitative Aspects of Solution Chemistry
1. Concentration Units:
- Molarity (M): Moles of solute per liter of solution.
- Molality (m): Moles of solute per kilogram of solvent.
- Percent by Mass (% m/m): Mass of solute per 100 g of solution.
- Percent by Volume (% v/v): Volume of solute per 100 mL of solution.
- Parts per Million (ppm): Mass of solute per million parts of solution.
- Parts per Billion (ppb): Mass of solute per billion parts of solution.
- Mole Fraction (χ): Ratio of moles of a component to the total moles in the solution.
2. Solution Preparation:
- Stock Solution: A concentrated solution used to prepare diluted solutions.
- Dilution: Adding solvent to a stock solution to decrease its concentration. The dilution formula is M1V1 = M2V2, where M is molarity and V is volume.
- Serial Dilution: Successive dilutions to obtain solutions with progressively lower concentrations.
3. Colligative Properties:
- Lowering of Vapor Pressure: The vapor pressure of a solution is lower than that of the pure solvent. This is described by Raoult's Law for ideal solutions.
- Elevation of Boiling Point: The boiling point of a solution is higher than that of the pure solvent. ΔTb = Kb * m * i
- Depression of Freezing Point: The freezing point of a solution is lower than that of the pure solvent. ΔTf = Kf * m * i
- Osmosis: The movement of solvent across a semipermeable membrane from a region of lower solute concentration to a region of higher solute concentration.
- Osmotic Pressure (π): The pressure required to prevent osmosis. π = MRT, where M is molarity, R is the ideal gas constant, and T is the temperature in Kelvin.
4. Solubility:
- Saturated Solution: A solution containing the maximum amount of solute that can dissolve at a given temperature and pressure.
- Unsaturated Solution: A solution containing less solute than a saturated solution at a given temperature and pressure.
- Supersaturated Solution: A solution containing more solute than a saturated solution at a given temperature and pressure; usually unstable.
- Solubility Product (Ksp): The equilibrium constant for the dissolution of a sparingly soluble salt.
5. Non-Ideal Solutions:
- Raoult's Law: For ideal solutions, the vapor pressure of a component is proportional to its mole fraction. PA = χAPoA
- Deviations from Raoult's Law: Non-ideal solutions exhibit positive or negative deviations from Raoult's Law due to intermolecular forces between solute and solvent molecules.
- Activity: The effective concentration of a component in a non-ideal solution, accounting for deviations from ideality.
- Activity Coefficient: A correction factor that relates activity to concentration.
Conclusion:
Quantitative aspects of solution chemistry involve understanding concentration units, solution preparation techniques, colligative properties, solubility, and the behavior of non-ideal solutions. These concepts are crucial for analyzing and predicting the behavior of solutions in various chemical and biological systems. The formulas provided allow for quantitative calculations related to these properties.