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Question

The boiling point of a solution containing 0.5 g of solute B (molar mass 0.128 kg mol^-1) per 50 g of solvent is raised by 0.4 K while 0.6g of another solute C raises the boiling point of 50 g of same solvent by 0.6 K. Calculate molar mass of solute C.

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Solution

ΔTf =Kfm

Kf = ?

ΔT=Kf [(WB)/(MBx WA)]

Kf = (ΔT x MB x WA )/ (WB )
Kf = (0.4 K x 0.128 x 50 g kg mol-1 ) / (0.5 g)
Kf = 5.12 K kg / mol .

ΔTf =Kfm ( for solution c and same solvent )

Mc = ?
ΔT=Kf [(Wc)/( Mc x WA)]
0.6 K =5.12 [(0.6 g)/( Mc x 50g)]
Mc = (5.12 x 0.6 )/ (0.6 x 50 )
Mc = 0.1024 Kg
Mc = 102.4 g




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