Common tests for distinguishing organic compounds include traditional methods like melting point, boiling point, refractive index, and solubility, as well as advanced techniques such as mass spectroscopy, IR spectroscopy, and NMR spectroscopy. Specialized tests like Lucas' Test for alkanols and the NaHCO3 Test for carboxylic acids are also effective. The polarimeter is valuable for identifying chiral compounds, as only these exhibit optical activity. Racemic mixtures can be resolved using chiral agents to produce separable diastereomers. Overall, a combination of these methods provides a comprehensive approach to organic compound analysis.