I 01 a 1 * will be seen from relations (a) and (6) Weights.—If the rule given on page 6 f/»r M.akirii* rh- him tit reading a percentage reading is followed wb**!i IMIIC th' rormal system, the result is the volumetric factor of sample. This, of course, becomes one-tenth of the gram- oquivalont of the element or compound determined in the sample. System.—A further simplification may be made by adjusting the standard solution until each cubic centimeter is equivalent to a simple fraction of a gram of the substance to be titrated, instead' of to a simple fraction of a gram-equivalent as in the normal system. One cubic centimeter of a standard' iodine solution might then be equivalent to 0.005, 0,002, 0.001, etc., gm of sulphur. This results in a very much simplified cal- culation and a further saving of time is accomplished by using a sample weight which bears a simple relation to the equivalence of the standard. In the case just noted the sulphur sample might be used in portions of 0.5, 0.2 or 0.1 gm, or of ten times these weights. Then 1 cc of standard solution would indicate 1. per cent or 0.1 per cent of sulphur. Such solutions as these are frequently made for technical work in industrial laboratories, where large quantities of standard solutions are required for the titration of a single constituent of a large number of samples. Mention may be made of the use of potassium permanganate or potassium dichromate solutions for the titration of iron in ores, of sodium thiosulphate for the titra- tion of copper in ores or available chlorine in bleaching powder and of potassium ferrocyanide for the determination of zinc. In fact any standard solution may be made in this system and it be so made if its use is to be limited to the determination of one substance. Standardization.—Thus far we have dealt only with the calcu- lation of the results of volumetric analysis, assuming that the standard solution was ready for use in the experiment. The determination of the exact concentration of the standard solution is called "standardization." The details of the experimental work will be treated later and will be mentioned here only so far as they may serve to illustrate the methods used in the calculations.