JEE Advanced levelSingle correct optionDifficulty 3 of 3st144
A 250 mL solution contains a partly resolved sample of compound Y at 0.0500 g/mL. In a 2.00 dm tube the observed rotation is −3.60∘. Pure (-)-Y has [α]=−90.0 (degree dm−1 (g/mL)−1). The mass of the (+) enantiomer present in the solution is
A3.75 g
B8.75 g
C5.00 g
D7.50 g
Answer: A
[α]obs=α/(lc)=−3.60/(2.00×0.0500)=−36.0. ee = 36.0/90.0 = 40%, so (-) = 70% and (+) = 30%. Total mass = 0.0500 x 250 = 12.5 g, so (+) = 0.30 x 12.5 = 3.75 g. The value 8.75 g is the (-) enantiomer.