Nomograph for the Solubility of Sulfur Dioxide in Water - American

(22) Powney, J., and Frost, H. F., J. Testile Id., 28, TZ37-54. (23) Powney, J. ... line coordinate chart which considerably extends the utility of th...
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INDUSTRIAL A N D ENGINEERING CHEMISTRY Halvarsan, H. O., Proc. SOC.Ezptl. Biol. Med., 22, 358-61 (1925). Hamer, W. J., J . Electrochem. SOC.,72, 45-69 (1937). Hamer, W. J., private communication. Hamer, W. J., and Acree, S. F., Natl. Bur. Standards, Research Paper 1261; J . Research Natl. Bur. Standards, 23, 647-62 (1939). Hastings, A. B., and Sendroy, J., J. Biol. Chem., 65, 445-55 (1925). Hitchcock, D. I., and Taylor, A. C., J . A m . Chem. SOC.,59, 1812-18 (1937). Jordan, D. O., Tkans. Faraday SOC.,34, 1305-10 (1938). Kiehl, S. J., and Louoks, R. D., Trans. Electrochem. Soc., 67, 81-100, esp. 90 (1935). Kolthoff, I. M., and Bosch, W., Rec. trau. chin., 47, 819-25 (1928). MacInnes, D. A., Belcher, D., and Shedlovsky, T., J . Am. Chem. SOC.,60, 1094-9 (1938). Menzel, Heinrich, 2.physik. Chem., 100, 276-315 (1922). Natl. Technical Lab., Pamphlet 34 (May, 1940). Perley, G. A., Trans. A m . Inst. Chem. Engrs., 29, 257-91 (1933).

(22) Powney, J., and Frost, H. F., J. Testile I d . , 28, TZ37-54 (1937). (23) Powney, J., and Jordan, D. O., J . SOC.Chem. I d . , 56, 133-7 (1937). (24) Powney, J., and Jordan, D. O., Trans. Faraday SOC.,34, 363-71 (1938). (25) Preston, W. O., Oil & Soap, 14, 289-95 (1937). (26) Rhodes, F. H., and Bascom, C. H., IND. ENQ.CEIEM.,23, 778 (193 1). (27) Sohollenberger, C. J., in Lange's Handbook of Chemistry, 3rd ed., p. 902, Sandusky, Ohio, Handbook Publishers, 1939. (28) Taylor. W. A., and Co., "Modern pH and Chlorine Control", 5th ed., p. 9 (1940). (29) Vellinger, E., Arch. phys. biol., 2, 119-22 (1926). (30) Wingfield, E., and Aoree, S. F., Natl. Bur. Standards, Research Paper 1018; J . Research Natl. Bur. Standards, 19, 16375 (1937). (31) Wingfield, B., Goss, W. A., Hamer, W. J., and Acree, S. F., A . S. T . M . Bull., pp. 15-20 (Jan., 1938). PRESENTED before the Division of Industrial and Engineering Chemistry st the lOlst Meeting of the American Chemical Society, St.Louis, Mo.

Nomograph for the Solubility of Sulfur Dioxide in Water

T

HE latest data covering the equilibrium solubilities of

sulfur dioxide appear to be those of Beuschlein and Simensonl, presented in tabular form and graphically as pressure-temperature curves for concentrations of 0.51, 1.09, 4.36, and 7.45 grams of sulfur dioxide per 100 grams of water. A study of the data was made with a view toward facilitating interpolation, and the following equation, connecting pressure and temperature, was developed, p [l - 65

p 2 ] = b (t

+ 20)a

0.61 2,3145 0.004434

1.09 2.1883 0.016033

4.36 1.7350 0.4684

dioxide and exhibits a partial pressure of 344 mm. of metcury at 50' C. The average deviation of partial pressures, as read from the chart, from those of the original data is less than 2 per cent.

t, 'C.

"3

and a and b have values corresponding to S, concentration, in grams of sulfur dioxide per 100 grams of water as follows: a b

D. S. DAVIS Wayne University, Detroit, Mich.

Temperature

where p = partial pressuroe of SO2, mm. Hg t = temperature, C.

S

Partial Pressure of SO, P.

mm. ffq

E6o

7.45 1.2813 4.803

80 io0

Additional values of a for other values of S were calculated by means of the well-known La Grange interpolation formula, and a large-scale smooth curve was constructed. For all but the lowest values of S, values of b can be calculated from the equation: log b = 1.0106 SO.625

Vol. 33, No. 6

- 2.863

b may be read satisfactorily from a plot of log b us. for coslcentrations below 1.09 grams sulfur dioxide per 100 grams of water. These equations enable construction of the accompanying line coordinate chart which considerably extends the utility of the original data, since it places interpolation on a convenient and reproducible basis and includes solubilities both as grams sulfur dioxide per 100 grams of water and as grams of sulfur dioxide per 100 grams of solution or percentage concentration. The index line shows that a solution of 2.60 grams of sulfur dioxide in 100 grams of water tests 2.44 per cent sulfur 1 Beuschlein, W. L., and Simenson. L. O., J . Am. Chem. SOC.,62, 810 (1940).

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