Final answer:
A racemic mixture of R-lactic acid and S-lactic acid is optically inactive and does not rotate plane-polarized light. It cannot be separated directly into R-lactic acid and S-lactic acid without the addition of a chiral reagent. Adding a chiral reagent to the mixture would result in the formation of two diastereomers.
Step-by-step explanation:
A racemic mixture of R-lactic acid and S-lactic acid is optically inactive, meaning it does not rotate plane-polarized light. This is because the R and S enantiomers of lactic acid have equal and opposite rotations, resulting in a net rotation of zero.
A racemic mixture is formed when equal amounts of both enantiomers are present. It cannot be separated directly into R-lactic acid and S-lactic acid without breaking chemical bonds. In order to separate the enantiomers, a chiral reagent needs to be added, which would result in the formation of two diastereomers.