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Solutions

Question
CBSEENCH12005708

State Raoult’s law. If AT is the elevation of boiling point of a solvent and m is the number of moles of solute per kg of solvent, what is the realationship between T and m?

Solution
Raoult’s law: It states that whenever a non-volatile solute is added to a volatile solvent the vapour pressure of the solvent is lowered and the lowering of vapour pressure s directly proportional to the mole-fraction of the solute added.

pA ∝ xA
                        
P0A-PA = P0A  XB

or            P0A-PAPA0 = XB

where P
0A is the vapour pressure of the pure solvent.
PA is the vapour pressure of the solution.
XB is the mole fraction of non-volatile solute.
Thus, according to Raoult’s law, the relative lowering of vapour pressure is equal to the mole-fraction of the solute in solution.