An aqueous solution containing 4.33 g of an optically pure compound was diluted

Question

An aqueous solution containing 4.33 g of an optically pure compound was diluted to 300.0 mL with water and placed in a polarimeter tube 20.0 cm long. The measure rotation was -2.59 degrees at 25 degrees C. Calculate the specific rotation off the compound.

An aqueous solution containing 4.33 g of an optically pure compound was diluted to 300.0 mL with water and placed in a polarimeter tube 20.0 cm long. The measure rotation was -2.59 degrees at 25 degrees C. Calculate the specific rotation off the compound.

Explanation / Answer

equal amounts of mutual enantiomers rotate plane polarized light to an equal extent but in opposite directions. rotation of plane polarized light occurs at the molecular level, so the extent of the rotation is proportional to the amount of optically active material that is present

[a]l^T = a / lc
[a]l = specific rotation, deg cm2/g, at 'l', the wavelength of light used for the observation (usually 589 nm, the D line of a sodium lamp unless otherwise specified
T = temp in C
a = observed rotation
l = cell path length in dm
c = concentration in g/ml

[a]1^25 = -2.59

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