86 QUANTITATIVE AGRICULTURAL ANALYSIS by a direct titration method. With carbonates that are soluble in water this is accomplished by dissolving a weighed sample, adding methyl orange and titrating with standard acid. If the carbonate is only slightly soluble in water an excess of standard acid is added. This dissolves the carbonate and the unused excess of standard acid is then titrated with a standard base. In this case, if the solution has been boiled to remove carbon dioxide, phenolphthalein or methyl red may be used as indicator but the same indicator must have been used when standardizing the base against the acid. Soda Ash.—The standard acid that was used in the preceding exercise is suitable for this determination. The soda ash may be weighed on a counterpoised glass, if this is done quickly. Determination of Alkalinity of Soda Ash.—Weigh about 2.5 gm of sample, dissolve in a small beaker and rinse the solution into a 500-cc volumetric flask. Dilute to the mark and mix well. By means of a pipette, measure 25 cc of the solution into a 250-cc Erlenmeyer flask or beaker, dilute with 50 cc of water, add a drop of methyl orange and titrate to the color change with standard acid. Calculate the per cent of sodium carbonate in the sample. This, of course, is upon the arbitrary assumption that no other carbonate or basic substance is present. Sometimes the alkalinity is expressed in terms of sodium oxide, Na20. Limestone.—Powdered limestone is used for neutralizing the acidity of soils. If the alkalinity is calculated in terms of calcium carbonate the result may be greater than 100 per cent in case of dolomitic limestones, on account of the presence of magnesium carbonate, a substance of lower equivalent weight than that of calcium carbonate. Although a figure so obtained would be fictitious, in one sense, it is after all a practical basis for calculat- ing the amount of stone required. If a determination of soil acidity should indicate n pounds of pure calcium carbonate required per acre, a sample showing by analysis a calculated per 71 cent of 105 would be used in the ratio of :™ pounds per acre, no matter what carbonates were actually present. Determination of Alkalinity of Limestone.—Prepare a solution of sodium hydroxide, equivalent to the standard acid already on hand, or use the basic solution prepared for acidimetry, page 59. This should be made from material as nearly as possible free from carbonates. Sodium hydroxide