1.5 g of a non-volatile, non-electrolyte is dissolved in 50 g benzene ( = 2.5 K kg mol⁻¹). The elevation of the boiling point of the solution is 0.75 K. The molecular weight of the solute in g mol⁻¹ is
(a) 200
(b) 50
(c) 75
(d) 100
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Answer:
(d) 100
Explanation:
ΔTb=Kb⋅m
where,
ΔTb is the boiling point elevation,
Tb (solution) − Tb (pure solvent),
Kb is the ebullioscopic constant,
m is the molality of the solution
ΔTb=0.75K
weight of solute =1.5g
weight of solvent =50g
molality =
weight of solute molar weight of solute 1000 weight of solvent in g=1.5M×100050g
Now,0.75K=2.5Kkgmol−1×1.5M×100050
M=2.5Kkgmol−1×1.5×10000.70K×50=100.8gmol−1
Molecular weight of solute is 100.8gmol−1.
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