THEORY AND GENERAL PRINCIPLES 11 In case the primary standard is a solution already standard- ized in the normal system the normalities of the solutions are inversely as the respective volumes that are equivalent to each other. 5. Thirty cubic centimeters of y~ sodium thiosulphate solu- tion is found by titration to be equivalent to 29.8 cc of iodine solution. The normality of the latter is required. 300 N = __ N 29.8* 10 This is If solutions are to be standardized in the decimal system the calculations involve nothing more than finding the weight of the substance in terms of which the standardization is to be ex- pressed, equivalent to 1 cc of the solution which is being stand- ardized, always using as the starting point the known weight of the primary standard. In many cases the standardization is to be expressed in terms of the primary standard itself. For example, iodine solu- tion is to he standardized against pure arsenic trioxide and expressed in terms of the same substance. Here we have the very simple method of weighing a- suitable amount of arsenic trioxide, then dissolving and titrating by the iodine solution. Then 1 cc iodine solution gm As203. cc I-solution Other familiar examples of this class of methods are the standardization of permanganate solutions against oxalates or against elementary iron or antimony for obtaining the weights of these elements equivalent to 1 cc of the solution. The following example will serve to illustrate the first case just discussed: 6. A solution of potassium permanganate was standardized against sodium oxalate as follows: 2.5340 gm of sodium, oxalate was dissolved and the solution was diluted to 1000 cc. Twenty- five-cubic centimeter portions were titrated and gave an average of 24.25 cc of potassium permanganate solution equivalent to the oxalate solution used. Required the weight of iron and of salcium equivalent to 1 cc of permanganate solution.