12 ^TAM/TATirE AGRICi'LTUKAL AXALYSIS Twenty-five cubic eeatimeters of the oxalate solution contained X gin and 1 cc of permanganate solution is equivalent to gin of sodium oxalate. This weight, multiplied by the ratio of the equivalent weight of iron or of calcium to that of sodium oxalate, will give the weights of these substances that are equivalent to 1 cc of the standard solution. Then ^ I.L025 X 2.5340 _XJ>o!8<8== Q 0021g m Fe IT solution =0= ....... 94.25'X.....67.005 or °-%X^ X 20ffl6 = Q 0(X)78 Ca. 24.2,3 X b/.OQo Indicators.—Any substance that is used to show the end point of a definite reaction is an "indicator/7 The indicator may do this by a change of color in solution or by the appearance of a precipitate. In some cases the standard solution itself or the substance titrated may act as indicator. A familiar example of this is the oxidation of iron by potassium permanganate. As long as any ferrous iron is present the intensely colored per- manganate is reduced to practically colorless manganese salts but the least drop of permanganate in excess colors the solution and indicates the complete oxidation of all iron present. In this case, as with other color changes and precipitations of in- organic compounds, the reaction at the end is definite and well understood. ^Neutrality1' Indicators.—The indicators that are used to show neutrality points in reactions of acids and bases with each other are usually organic and their color changes are reversible as the point of neutrality is passed in either direction. The color change is due to a change in molecular structure which, in turn, is in equilibrium with hydrogen or hydroxyl ions present in the solution. Hydrogen Ion Concentration.—The volumetric titration of acids with bases, or conversely, is a process of neutralization. This is the production of a condition where neither hydrogen nor hydroxyl ions are present in more than very slight and negligible excess. Neither of these ions can be absolutely eliminated from any aqueous solution. Both must be present and in such proper-