334 MODERN PAPER-MAKING if the thickness of the paper is required to give any indication of the bulk of a book, etc. Substance.—The substance, or weight per given area, or more commonly the weight per ream of a definite number of sheets, is ascertained by means of a pair of scales and weights. The paper is cut to the required size, such as 20x30 inches (double crown), 17^x22! inches (demy), i6iX2i inches (large post), and a sheet of this size is weighed, either by a balance scale and special weights, or in a special lever scale, which has a graduated quadrant plate, on which is engraved the weight per ream of 480, 500, or 516 sheets. In these latter scales a sample sheet of any desired size may be weighed, so that it is an ex- tremely useful instrument for the machine- man to have on his table, enabling him, as it does, to cut a sheet of the exact size of the finished paper and weigh it, thus avoiding the necessity of calculating the weight in the usual mill standard size, such as double crown, etc. It is usual in mills making paper of many distinct sizes and substances to have metal templates for all the more usual sizes, so that the machineman may quickly cut out a sheet for checking his weight. Air Permeability—The permeability of a paper to air is a guide to the degree of calendering, coating, sizing, or beating. The two most popular instruments for this determination are the Potts perme- ability apparatus and the Gurley denso- meter. The former is readily constructed from simple laboratory materials, and has the advantage over the Gurley instrument in that the determination is made at constant pressure. The sample of paper is held in a clamp of known dimen- sions and air is drawn through the sheet under constant pressure by means of a water aspkator fitted with a Marriotte tube. By measurement of the volume of water passing from the aspirator in a given time it is possible to report the air permeability of the paper as volume per unit time for air passing at a given pressure through a known area. A mathematical interpretation of the significance of observations by this apparatus has been given. [H. E Messmer FIG. 14.7.—MICROMETER THICKNESS TESTER