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Title: Measuring the ratio of aqueous diffusion coefficients between [sup 6]Li[sup +]Cl[sup [minus]] and [sup 7]Li[sup +]Cl[sup [minus]] by osmometry

Journal Article · · Geochimica et Cosmochimica Acta; (United States)
 [1]
  1. Purdue Univ., West Lafayette, IN (United States)

Osmotic equilibrium is a singular occurrence in the evolution of an osmotic cell because at this event the net solution flux is zero such that [minus]J[sub w] [center dot] [bar V][sub w] = J[sub s] [center dot] [bar V][sub s]. At this juncture, the diffusion coefficient of the solute through the membrane ([omega]) equals the solute flux (J[sub s]) divided by the osmotic pressure ([delta]II). Because the solute permeability coefficient ([omega]) is related to the Fickian diffusion coefficient (D) through the gas constant, temperature, and the membrane's thickness and tortuosity, the ratio of [omega] values for individual isotopic species equals the ratio of D values for the same isotopic components. A 0.9450 molal LiCl solution was placed within sealed dialysis tubing and osmoted against a kilogram of deionized water at 22C. Osmotic equilibrium occurred at 164 [plus minus] 10 min. The ratio of [omega][sub [sup 6]Li[sup +]Cl[sup [minus]]]/[omega][sub [sup 7]Li[sup +]Cl[sup [minus]]] was measured to be 1.011 [plus minus] 0.003 - a value close to the square root of the mass ratio between [sup 7]LiCl and [sup 6]LiCl (=1.012) as calculated by Graham's Law. The measured diffusion coefficient ratio was used to predict the degree of hyperfiltration-induced fractionation of Li isotopes as a function of membrane ideality. When a membrane's [sigma] exceed 0.95 (as is likely for low-porosity shales) the [sup 6]Li/[sup 7]Li ratio on the high-pressure side of the membrane can theoretically vary by more than 0.0017.

DOE Contract Number:
FG02-90ER14113
OSTI ID:
6893549
Journal Information:
Geochimica et Cosmochimica Acta; (United States), Vol. 56:10; ISSN 0016-7037
Country of Publication:
United States
Language:
English