Fowler obtained thermodynamic quantities assuming the theory which could be derived by representing the system with microcanonical ensemble, in order to introduce the temperature T of the system proper, he considered the combined systems which are composed of the system proper and another arbitrary system that is in thermal contact with the former, and represented the combined system by a microcanonical ensemble, here, he used the steepest descent method in his calculation. This Fowler's treatment is not only unsatisfactory at the point of theoretical view but also he could not make the formulation of free energy of Helmholtz's so that this formular was forced to be assumed. From the point of Quantum Statistical Mechanical view, the materially closed system which is in an equilibrium state with the temperature T is best represented by canonical ensemble. At the actual derivation of the distribution law and thermodynamic quantities, however, in order to avoid the difficulty of calculation Tolman proceeded his calculation either representing the system proper by the grand-canonical ensemble or adding a certain limitation.

The cation exchange resins are synthesized from p-phenolsulfonic acid, formalin, and sodium hydroxide catalyser, and the ion exchange properties of them are studied with respect to their reactant ratios. Maximum exchange capacity was 2.06 me/G, much smaller than the theoretical value of 3.42 me/G to be expected for that of the structure: Under the present experimental conditions, much -SO3H radical should have been split away.

The relation between the height of ascending solvents and its velocity were studied with strips of Toyo No. 50 filter paper. The filter paper strip of 3cm width and cat 30 cm length is hooked down or fixed between two sheets of glass plates inside a cylinder containing the solvent, in which the lower end of the strip is dipped. As the solvents, acetone, hydrochloric acid, water or mixtures of these are used. For short time intervals, Ostwald's folmula $h = Kt^n$ was found to be most suitable to express the relation between the height of the solvent front, h, and time, t. For longer time intervals, results will be discussed in the next paper. The mean values of the constant m in the above formula for pure acetone and pure water were 0.44 and 0.485, respectively, and that of K were 0.05 and 2.4, respectively. The time interval whose the above formula applies, for each solvent was 2 hours for the former, and a half hour for the later, respectively. The movement of solutes, such as $Cu^{++}$ and $Fe^{++}$ showed that the Rf values of solutes become constant values after a long periods; e.g., ca. 6 hours with 10N-HCl-Acetone (1 : 9) solvent.

It was pointed out by Katagiri and Nakahama that the useful retling bacteria acted selectively on vegetable fiber materials and also they proposed that this selectivity was based on the specificity of protopectinase of the bacteria, and that the two characters might have certain parallel relation with each other. The result of the further experiments carried out by the author with mulberry-tree bark also confirmed the selectivity of some kinds of retling bacteria, but found no remarkably different action on protopectin from mulberry-tree bark. Accordingly no parallel relation between the selectivity of the retling bacteria and the specificity of the protopectinase was identified.

Upon the basis of the results obtained hitherto in the studies of the stereochemical reaction mechanisms, the author has concluded that the stereospecificity of enzymes has essentially a relative character. And the author has pointed out the possibility of the occurrence of a new enzyme "inverskinase", which catalyses the reversible inversions such as D-compound ${\leftrighyarrow}$ L-compound in living organisms, and considered the stereospecificity of enzymes and the optical purity of components of living organism from this new standpoint.