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E, , Freezing point:, D, , Depression in Freezing point (Cryoscopy) (Alf):, Depression of freezing point (AT;) =Freezing point of the solvent - Freezing point of the solution., , i) Molal, , depression constant (Cryoscopic eonstant, Kg:, , AT, =K,xmolalityxmolality (if association or dissociation then AT, ixK, xmolality, i ) Determination of molar mass of non - volatile solute from depression in freezing POint :, AT, =sxW,, , OR, , MaxW, Osmotic pressure (T), , F, , M2 -, , KxW2 kg mol, , KxW2x1000, OR, , M2 -, , 8 mol, , AT,xW, , ATxW1, , Expression for osmotic pressure: Osmotic pressure =hdg, Where, h - height of column, d = density of solution in the column and, , g, , acceleration due to gravity = 9.8 ms2, , Van't Hoff solution equation:, , GI, , Determination of molar mass of solute from osmotic pressure :, tV=nRT, , OR, , T=, , WRT, M V, , OR, , M, =*W,TVRT, , Units of R, n and V:, , Units of R 0.082litre atm Kmol, , 4., , Units of (), , atm, , kPa (kNm), , dm, , Units of (V|, , lit., , Pa (Nm), , m°, , Relation between osmotic pressure, in freezing point., , dR= AT,, XPix M, where 'd' is the, , a, n, , dRT=AT,, 1000 K,K, 1000, K *"f"1000, dRT, , density of solution at temperature 'T, , and, , M, , is the molar, , n-1, Number, , ofcations and anions, , Relation between degree of association (a") and van't-Hofffactor (i):, , a=, n, 7., , (t), lowering of vapour pressure, elevation of boiling point and depression, , Relation between degree of dissociation (a) and van't-Hoff factor(i), , 5., , 6., , 8.314 JK-mol 8.314JK-'mol1, , ni-1), , Number ofmolecules associated., , Asolution H =Anydration H+ALatice H, , mass, , of solute in grams.