A fundamental equation for calcite dissolution kinetics

Computer Science

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Scientific paper

A fundamental rate equation for the dissolution of calcite in a pure 0.7 M KC1 solution has been determined. Between pH 8.0 and 10.1 the kinetics of the dissolution reaction can be expressed by the equation d [ Ca 2+ ]/ dt = kA ( C -[ Ca 2+ ]1/2[ CO 3 2- ]1/2) , where d [ Ca 2+ ]/ dt is the rate in mole cm -3 s -1 , k is the apparent rate constant in s -1 cm -2 , A is the calcite surface area and C is the square root of the calcite solubility constant. The apparent rate constant at 20°C is 9.5 × 10 -6 s -1 cm -2 . The apparent activation energy for the reaction between 5 and 50°C is 8.4 kcal mole -1 . The reaction rate is pH independent above pH = 7.5. At pH values less than 8, [CO 3 2- ] becomes negligible, and the rate becomes fast and should be dependent on the calcite surface area alone, if there is no change in mechanism. The stirring coefficient between 2.8 and 11.1 rev s -1 is 0.33. This, together with the relatively high activation energy, indicates that the reaction is mainly chemically controlled. Interpolation of the experimental results into seawater systems gives a computed rate several magnitudes greater than the observed rate, but considerably less than that calculated for a diffusion-controlled reaction.

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