12th chemistry chapter solution
I. Introduction to Solutions
- A solution is a homogeneous mixture of two or more substances.
- Solvent is the component present in the largest amount, while the solute is the other component(s).
II. Types of Solutions
- Unsaturated solutions have not reached the maximum amount of solute that can be dissolved in a solvent.
- Saturated solutions have the maximum amount of solute dissolved in a solvent at a given temperature and pressure.
- Supersaturated solutions contain more solute than the solvent can normally dissolve at a given temperature and pressure.
III. Concentration of Solutions
- Molarity is the number of moles of solute per liter of solution.
- Molality is the number of moles of solute per kilogram of solvent.
- Percent composition is the mass of solute per 100 grams of solution.
- Parts per million (ppm) is the number of parts of solute per million parts of solution.
IV. Colligative Properties of Solutions
- Colligative properties depend on the number of solute particles in solution, not their identity.
- Examples of colligative properties include lowering of vapor pressure, elevation of boiling point, depression of freezing point, and osmotic pressure.
V. Laws Governing Solutions
- Raoult's law states that the vapor pressure of a solution is proportional to the mole fraction of the solvent in the solution.
- Henry's law states that the solubility of a gas in a liquid is proportional to the partial pressure of the gas above the liquid.
VI. Osmosis and Reverse Osmosis
- Osmosis is the movement of solvent molecules from a region of lower solute concentration to a region of higher solute concentration through a semipermeable membrane.
- Reverse osmosis is the process of applying pressure to overcome osmotic pressure and move solvent molecules from a region of higher solute concentration to a region of lower solute concentration through a semipermeable membrane.
VII. Dialysis
- Dialysis is the process of separating solutes based on their size and charge using a semipermeable membrane.
VIII. Colloids
- Colloids are heterogeneous mixtures with particles intermediate in size between a solution and a suspension.
- Examples of colloids include emulsions, foams, and gels.
Formulas
I. Concentration Formulas:
- Molarity (M) = moles of solute / liters of solution
- Molality (m) = moles of solute / kilograms of solvent
- Mass percentage = (mass of solute / mass of solution) x 100%
- Volume percentage = (volume of solute / volume of solution) x 100%
- Parts per million (ppm) = (mass of solute / mass of solution) x 10^6
- Parts per billion (ppb) = (mass of solute / mass of solution) x 10^9
II. Raoult's Law Formula:
- Vapor pressure of solution (P) = mole fraction of solvent (Xsolvent) x vapor pressure of pure solvent (Psolvent)
- P = Xsolvent x Psolvent
III. Colligative Properties Formulas:
- Freezing point depression (ΔTf) = Kf x molality of solute
- Boiling point elevation (ΔTb) = Kb x molality of solute
- Osmotic pressure (Π) = MRT (where M is the molarity of the solute, R is the gas constant, and T is the temperature in Kelvin)
- Van't Hoff factor (i) = moles of particles in solution after dissociation / moles of solute dissolved
IV. Henry's Law Formula:
- Concentration of gas in solution (C) = kH x partial pressure of gas above solution (Pgas)
V. Solubility Product Formula:
- Solubility product constant (Ksp) = [A+]^m [B-]^n (where A and B are ions in a dissociation reaction, and m and n are their stoichiometric coefficients)
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