ModernLiquidKinetics

# ModernLiquidKinetics - MODERN LIQUID KINETICS PROBLEMS I Q0...

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MODERN LIQUID KINETICS PROBLEMS I Q0 a) Estimate the translational diffusion coefficient of a spherical particle of radius 0.3 nm in water at 298 K b) How far, on average, would such a particle diffuse in 1 s? c) How long would it take to diffuse a distance of 1mm, on average? d)Roughly how long would the same particle take to rotate through one radian in water? [The viscosity of water at 298 K is 10 -3 kg m -1 s -1 .] Q1 Use collision theory to estimate the number of collisions per second made by a molecule (relative molecular mass 18) in i) a gas at atmospheric pressure and 300 K; ii) a gas with the same density as liquid water at 300 K. Use a collision diameter of 5 Angstroms. Q2 A much smaller concentration of biacetyl (butane-2,3-dione) is required to quench the fluorescence of naphthalene in solution in hexane than in glycerol (propan-1,2,3-triol). Comment. Q3 Estimate the diffusion controlled rate constants at 298 K for the reaction of two neutral particles in i) hexane ii) water Comment on the following approximate rate constants for the recombination of solvated electrons and cations in hexane (~10 14 dm 3 mol -1 s -1 ) and water (~10 10 dm 3 mol -1 s -1 ). The viscosities of hexane and water are 3.26x10 -4 kgm -1 s -1 and 1.00x10 -3 kgm -1 s -1 respectively. Q4 Estimate the encounter distance for the reaction of H+ and OH- in water from the following data. Diffusion coefficients: D(H + )=9.1x10 -9 m 2 s -1 , D(OH - )=5.2x10 -9 m 2 s -1 . Rate constant = 1.4x10 11 dm

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## This note was uploaded on 05/09/2010 for the course CHE 3051 taught by Professor Sitimachmud during the Spring '08 term at National Central University.

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ModernLiquidKinetics - MODERN LIQUID KINETICS PROBLEMS I Q0...

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