•*! 174 QUANTITATIVE AGRICULTURAL ANALYSIS The specific gravity at any temperature other than 20 may be determined by the method outlined for this temperature or it may be calculated from the determination at this temperature, using the formula given above. It should be understood that the figure desired for purposes of identification is the specific gravity at the temperature for which data may be found in the literature. Index of Refraction.—A discussion of the underlying theory and of the determination of index of refraction is found on pages 113 to 120, Part II. The measurement of index of refraction is a valuable addition to the list of tests for oils. While not in all cases characteristic it will frequently serve to distinguish between certain possi- bilities when other tests, are not conclusive. The refractive index increases with (a) increasing molecular weight of the combined acids and (6) increasing unsaturation. If free fatty acids are present in an oil the refractive index will be lower than the normal value for the oil. In consequence of the latter fact one may expect to find abnormally low indices for old or rancid fats or oils. The selection of standard temperatures for the determination is highly desirable in order to make comparison data useful. Temperatures of 20° for oils and 40° or 60° for fats and waxes are suitable in most cases. For calculating the index of refrac- tion at any temperature from experimental results at another temperature the following formula may be used: R = R' + 0.000365 (f - f), where R and R' indicate indices of refraction at temperatures t and t', respectively. The coefficient 0.000365 is the average change of index for 1° for a large number of common oils. The index of refraction of oils is conveniently determined by use of any of the standard instruments, such as the Abb£, Pulfrich, Zeiss butyro-refractometer or the immersion refrac- tometer. Of those named the Abb6 instrument is probably the most generally useful because it may be used with liquids cover- ing a wide range of refractive indices and because it does not require the use of monochromatic light. The principles under- lying the use of this and other instruments are discussed on pages 115 to 120, Part II. jL