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Solutions

Question
CBSEENCH12010253

(a) Define the terms osmosis and osmotic pressure. Is the osmotic pressure of a solution a colligative property? Explain. 

(b) Calculate the boiling point of a solution prepared by adding 15.00 g of NaCl to 250.0 g of water. (Kb for water = 0.512 K kg mol-1), (Molar mass of NaCl = 58.44 g)

Solution

(a) Osmosis: The process of flow of solvent molecules from pure solvent to a solution or from a solution of lower concentration to a solution of higher concentration through a semi-permeable membrane is called osmosis. 

Osmotic Pressure: The pressure required to just stop the flow of solvent due to osmosis is called osmotic pressure (π) of the solution. 

 Yes, the osmotic pressure of a solution is a colligative property. The osmotic pressure is expressed as. 

  space straight pi space equals space straight n over straight V RT
Where,  

π  = osmotic pressure 

n = number of moles of solute 

V = volume of solution 

T = temperature 

 

From the equation, it is clear that osmotic pressure depends on upon the number of moles of solute ‘n’ irrespective of the nature of the solute. 

 

Hence, osmotic pressure is a colligative property. 

 

(b) Given

 Kb = 0.512 k kg mol-1

w2 = 15.00 g 

w1 = 250.0 g 

M2 = 58.44 g 

 

Using the formula, 
increment straight T subscript straight b space space equals fraction numerator 1000 space xK subscript straight b space straight x space straight w subscript 2 over denominator straight w subscript 1 space straight x space straight M subscript 2 end fraction

fraction numerator 7.680 over denominator 14.600 space end fraction space equals space 0.53

Now comma
straight T subscript straight b space equals straight T to the power of 0 space plus space increment straight T subscript straight b
space
equals space 373 plus 0.53 space equals 373.53 space straight K