CHAPTER II GENERAL OPERATIONS Preparation of Samples.—The object of all preliminary work with samples is to make it possible to obtain, for the actual analy- sis, a portion that shall truly represent the average composition of the entire material at hand. This matter is likely to be treated lightly by the beginner, but proper sampling is often one of the most difficult problems of quantitative analysis. It is often necessary to use a quantity of 1 gm or less and if the substance is not homogeneous this small quantity may have an average com- position that is very different from the average composition of the entire material being investigated. No matter how carefully an analysis may be performed or how accurate the results ob- tained, if the substance used does not represent the average of the substance originally at hand the results become nearly or en- tirely valueless. If the substance is practically homogeneous the operation of sampling involves nothing more difficult than grind- ing down to a degree of fineness required for the work. This is the case when the substance is an approximately pure chemical compound, such as will be used for the earlier exercises. The gross sample, as the analyst receives it, may be in the form of lumps, as is frequently the case with minerals, or it may be in the form of small pieces, crystals, powder, or solution. In any case except that of liquid samples, the object is to reduce the size of pieces to that required for the analysis (usually a rather fine powder) and at the same time to select from the total mass such a quantity as is required for the experimental work. The original sample is often quite large. It is obviously unnecessary and practically impossible to grind the entire amount into a fine powder. The operation then resolves itself into a thorough mix- ing and progressive grinding and dividing. Many forms of both hand and power grinders are in common use. For the first exercises nothing more complicated than a porcelain mortar and pestle will be required.