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- 4. Estimate the effective radius of a sucrose molecule in water at 25°C given that its diffusion coefficient is 5.2 x 10-10m²/s and the viscosity of water is 0.0100P.Si crystalizes into a diamond crystal structure with lattice constant a = 0.543\: nma=0.543nm. Calculate the atomic density in units of cm^{-3}cm−3. Values within 5% error will be considered correct.The diffusion coefficient of CCl4 in heptane at 25 °C is 3.17 × 10−9 m2 s−1. Estimate the time required for a CCl4 molecule to have a root mean square displacement of 5.0 mm.
- Calculate the diffusion constant of nitrogen at 20.0 ̊C and 100.0 Pa, with = 0.43 nm^2 .G. Bakale et al. (J. Phys. Chem., 12477 (1996)) measured the mobility of singly charged C60− ions in a variety of nonpolar solvents. In cyclohexane at 22 °C (viscosity is 0.93 × 10−3 kg m−1 s−1), the mobility is 1.1 × 10−4 cm2 V−1 s−1. Estimate the effective radius of the C60− ion. Suggest a reason why there is a substantial difference between this number and the van der Waals radius of neutral C60.The diffusion coefficient of H2O in water at 25 °C is 2.26 × 10−9 m2 s−1. Estimate the time required for an H2O molecule to undergo a root-mean-square displacement of 1.0 cm.
- In an experiment to determine the surface tension of methanol (ρ = 791 kg m-3 at 298 K) it was found that it rose to a height of 5.8 em in a tube of internal diameter 0.20 mm. What is the surface tension of methanol at 298 K?Calculate the average collision diameter in cm of methane with the viscosity of 1.09x10-4 poise at 20 °C and 1 atm pressure.Estimate the effective radius of a sucrose molecule in water at 25 °C given that its diffusion coefficient is 5.2 × 10−10 m2 s−1 and that the viscosity of water is 1.00 cP.
- Ab 29.The diffusion coefficient of a particular kind of t-RNA molecule is D = 1.0 × 10−11 m2 s−1 in the medium of a cell interior. How long does it take molecules produced in the cell nucleus to reach the walls of the cell at a distance 1.0 μm, corresponding to the radius of the cell?The mobility of a CH3CO2− ion in aqueous solution at 25 °C is 4.24 × 10−8 m2 s−1 V−1. Calculate its diffusion coefficient in water at 25 °C.