derive the relation between the elevation in the boiling point and the concentration of a solution
Answers
Answer:
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Explanation:
The result is that in dilute ideal solutions, the extent of boiling-point elevation is directly proportional to the molal concentration (amount of substance per mass) of the solution according to the equation: ΔTb = Kb · b. where the boiling point elevation, is defined as Tb (solution) - Tb (pure solvent).
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ANSWER:
Elevation of Boiling Point: Elevation of boiling point on adding one mole solute to 1000 g solvent is called molal boiling point elevation constant. It is denoted by K
b
. Its unit is K kg mol
−1
, e.g. for water K
b
=0.52 K kg mol
−1
.
Derivation of relation: Increase in boiling point of the solvent, on adding non-volatile solute to the solvent is called elevation of boiling point.
ΔTb=T3−T2
where T2 = boiling point of solvent, and T3 = boiling point of solution.
Experimentally, it is observed that elevation in boiling point is directly proportional to molal concentration of solute dissolved in definite amount of the solvent.
ΔT b∝m
ΔT b=Kb×m .....(1)
Kb is proportionality constant called molal boiling point elevation constant. We know that molality of a solution is number of moles of solute in 1000g solvent. It is denoted by m.
Determination of Molecular mass of a non-volatile solute:
Say molecular mass of the solute is MM. W1g solute is present in W2 g solvent. Molality of solution is m=M1 W1× W2*1000 .........(2)
On putting value of m from equation (2) to (1),
ΔTb=M 1 ×W2
Kb ×W 1×1000
M 1= ΔT b ×W 2
K b ×W 1×1000
Molecular mass of the solute may be determined by this formula.
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