Tables of physical and chemical constants and some mathematical functions / by G.W.C. Kaye and T.H. Laby.

  • Kaye, G. W. C. (George William Clarkson), 1880-1941.
Date:
[1941]
Catalogue details

Licence: Public Domain Mark

Credit: Tables of physical and chemical constants and some mathematical functions / by G.W.C. Kaye and T.H. Laby. Source: Wellcome Collection.

    38/200 (page 26)
    VOLUME CALIBRATION VOLUME CALIBRATION OF VESSELS BY WATER OR MERCURY Volume content of vessel at t° C. = Vt = Wtvts wt(f), where— wt — observed weight in grams (against brass weights in air) of contained water (or mercury) at t° C. W( = weight of such liquid in vacuo (i.e. corrected for buoyancy in air). vt — volume of 1 gram of liquid at t° C. (/) is a factor which introduces the buoyancy and specific volume corrections. The following table of values of the factor (/) is based on tables on pp. 28 and 31. Temp. (/) of weighing 10° C. 11° 12° 13° 14° 15° 16° 17° Value of | H20. factor (/)\Hg . 1*00133 •073683 1*00143 •073697 1*00154 •073710 roo166 •073724 1*00179 •073737 1*00193 •073750 roo209 •073764 1*00226 •073777 Temp. (^) of weighing 18° 19° 20° 21° 22° 23° 24° 25° Value of jH20 . factor (/)(IIg . 1*00244 •073790 1*00263 •073804 1*00283 •073817 1*00305 •073831 1*00327 •073844 1*00350 •073857 1*00375 •073871 1 *00400 •073884 The above gives the volume content V, of the vessel at the temperature of weighing, t° C. At any other temperature, t\ the volume Vt, = Vt {1 + y{t' — /)} = V,(F), where y is the coefficient of cubical expansion of the material of the vessel. Values of the factor (F) for glass vessels (7 = *000025) are tabulated below. if - /) 2° C. 4° 6° 8° -2° C. -4° —6° -8° Value of factor(F} 1*00005 I*OOOIO 1*00015 1*00020 •99995 •99990 •99985 •99980 Example.—Weight of water contained in a vessel at io° C. = io grams : thence volume of vessel at io° C. = io x 1*00133 cxs‘ The same vessel, if of glass, would contain at 160 C., 10 x 1*00133 x 1*00015 = 10*0148 c.cs. CAPILLARITY CORRECTIONS OF MERCURY COLUMNS The height of the meniscus and the value of the capillary depression depend on the bore of the tubing, on the cleanliness of the mercury, and on the state of the walls of the tube. The correction is negligible for tubes with diameters greater than about 25 mms. The table below gives the amount of the correction (which has to be added to the height) for various diameters of glass tubing and meniscus heights. (Mendel^eff and Gutkowsky, 1877. See also Scheel and Heuse, Ann. d. Phys., 33, 1910.) Bore of tube. Height of meniscus in mms. Bore of tube. Height of meniscus in mms. *4 *6 *8 10 1*2 14 1*6 1*8 *8 1*0 1*2 1*4 1*6 18 mm. min. mm. mm. mm. mm. mm. mm. mm. mm. mm. mm. mm. mm. mm. mm 4 •83 1*22 i’54 1*98 2*37 — — — 9 *21 •28 *33 •40 •46 •52 5 *47 •65 *86 1*19 i‘45 i*8o — — 10 *15 *20 *25 *29 •33 •37 6 •27 •41 •56 •78 •98 1*21 1*43 •— 11 •10 •14 •18 *21 •24 •27 7 *l8 •28 •40 •53 •67 •82 •97 1*13 12 *07 •10 •13 •15 •18 •19 8 ’20 •29 ■38 •46 •56 •65 *77 13 *04 *07 •10 *12 •13 •14