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www.instituteofscience.com [E] A Lock for Flint: Diameter & Conductivity. S.H. Shakman For a majority of eight (hydrated) ions listed*, diameter* & conductivity** may be approximated as cube-root of volume & inverse-square-root of weight, resp., of fully-hydrated ions per Flint***. Anomolous results may be improved (alt.) for (a) both size and conductivity of Cl- by assuming hydration number [H] of half the prescribed maximum; (b) conductivity of SO4-- by assuming it anhydrous when measured for conductivity; & (c) diameter of IONIC SIZE AND CONDUCTIVITY HPO4-- by speculatively deriv- Ion Diameter Conductivity ing it as the cube-root of 2 Obs* Calc Ob** Calc H fully-hydrated ionic volumes. Cl- .96 1.28 76.3 59.4 7 Assumptions in (a) & (b) " alt. .96 1.04 76.3 76.6 3.5 above, assigned to Cl- & Na+ K+ 1.00 1.02 73.5 76.9 3 ions resp., yield approxima- Na+ BASE 1.47 1.47 50.1 50.1 11 tions of specific gravities HCO3- 1.65 1.66 44.5 40.0 16 for NaCl solutions comparable CH3COO- 1.80 1.68 40.9 40.0 16 to those previously reported SO4-- 1.84 1.89 80 33.2 23 for 5 other solutes assumed " alt. 80 77.8 0 to be fully-hydrated (error H2PO4- 2.04 1.84 33 34.3 21 values for all 6 also de- HPO4-- 2.58 1.89 33 33.2 23 scribe regular curves).**** " alt. 2.58 2.39 *GANONG, W. F., Review of Medical Physiology (1975) 12. ** CRC (1985-6) D167-8. ***FLINT,L.H., Behavior Patterns of Hydration (1964) 21-30: Wa[anhydrous weight]=2(atomic # +- valence); Wh[hydrated weight]=Wa+18H; H[hydration#] =23n-( atomic # +-valence) [H=23 to 0, n=1 to 4]; Vh[hydrated vol- ume]=Wh/{1+(Wa/Wh)}. ****SHAKMAN, S.H., AAAS (1987) #113. AAAS Pacific Div. Proceedings Vol.7(1988), p. 42. |