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← JEE Main 2022 · 29 Jul · Shift 2
ChemistryInteger+4 / -1Question 83 of 90

JEE Main 2022 · 29 Jul · Shift 2, Chemistry question 83

1.80 g of solute A was dissolved in 62.5 cm3^3 of ethanol and freezing point of the solution was found to be 155.1 K. The molar mass of solute A is _______ g mol−1^{-1}.

[Given: Freezing point of ethanol is 156.0 K. Density of ethanol is 0.80 g cm−3^{-3}. Freezing point depression constant of ethanol is 2.00 K kg mol−1^{-1}]

Answer and worked solution

Official answer: 80

Solvent 62.5×0.80=5062.5\times0.80=50 g. ΔTf=0.9=2.00×1.80/M0.050\Delta T_f=0.9=2.00\times\dfrac{1.80/M}{0.050}, so M=80M=80 g/mol.

Answer: 80