Concentration Calculations Concentration apor Pressure calculations Amount of solution or - - grams.IE?esi-g%aFnssoiua+- Mole Fraction • Hvcp 100% - P, > Pz • sina.ru?iesiiiiFcomsona+s- ✗ a- SOLVENT Molarity M= moles liters of solution : Addition of solute point lowers the [ = = - VDW forces surface ; (i=1 j-molesofpant.ie/einSolutionsolute dissolved in Fish water ← . pressure pure of C higher boiling point # :# of in contact w/ atoms in crystalline , and polarizability 0-11, N H F H , ccplfcc - , edge length (e) bcc edge length (e) : Center ( higher # = more Volume -_e3 • Ion :c density -_ 1- = large ions l - like NaCl l salts need to be octahedral holes filled in have charge (4 → Ct , order (anions 4 Nat) , Catz fills all the tetrahedral holes . to • Packing occurs to electrostatic are • Also into ¥ number)(volume) ions < than cations, between minimize ions . more e- Octahedral increasing , = 0.414 R crystal expands between Saine charged fit into holes bigger bigger than the . to = far)2=2été=3eZ? the holes and ions reflects need repulsion 0.22 SR achieve maximum attraction different charged → tetrahedral holes the so Exception Csf F: Cations go cations are neutrality fills the holes of • @ - (Avogadro 's Trigonal < tetrahedral ' fz=eZtez=2e2 (# atoms)(molar mass) Solids : Smaller counter between e bz=(4r)Z=f2te edge length e- e e e = - e b- body length abcabc fills half polarizability T → - Closest Packed Chcp) abab , Ceg 2h51 F- N difference) ez + e2=4rZ→2e?=/6rZ→e=J8r Crystal Is :(Rcoord #) Real ionic solids strength, - - (smaller ion increases Closely packed) • force , → f- face length Lattice points atom , lower vapor pressure dipole dipole SH bonding increasing intermolecular area • coordination ' Ccplfcp → - lyles) • - Pos Deviation Point:(Rap =Patmosphere) Boiling → Neg Deviation Ideal solvent lattice Hexagonal Flying - atoms - lower IMF ) , non electro ' Metallic vapor for crystalline solids/ Unit cells • increases - > As size of constant Van 't Hoff factor intermolecular forces) (endothermic Pressure AM stronger intermolecular forces . moles of Law : F- KX Chemical Effect on freezing Negative deviation lowers vapor pressure Positive deviation • atm (constant) solvent, ✗, = mole fraction of solvents Freezing point depression Kelvin ! are similar (exothermic strong , , R=XR°CR°= vapor m=kmgo%%[ea+- in , obeys - DTf=iKfm/m= molality, Kf T is Tz law solvent and solute Raoult 's Law (Non Volatile solutions) : • Freezing Point Depression • > , chemically • p-wtai-X.RO/-Xzpzo for ideal solutions (PV=nRT Raoult 's pressure don't disassociate Molality solute , Only solution of 2 a For dilute solutions of gases that • (water) : 7 , Henry's , = E) - Heat/enthaply of vaporization ← * For Raoult 's Law (PFX.RO) A- = Pvap= Vapor • Component A : of - Pfg • Volatile liquids: Equation : ln(P¥•)=☐";=(÷ solvent Weight/Mass percent : weight % Clapeyron Clausius É. = Vapor pressure of • holes , atomic radius