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Calculate the diffusion constant of nitrogen at 20.0 ̊C and 100.0 Pa, with = 0.43 nm^2 .
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- 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.Estimate the effective radius of a glycine molecule in water at 25 °C given that its diffusion coefficient is 1.055 × 10−9 m2 s−1 and that the viscosity of water is 1.00 cP.The mobility of a NO3− ion in aqueous solution at 25 °C is 7.40 × 10−8 m2 s−1 V−1. Calculate its diffusion coefficient in water at 25 °C.
- 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 chloride ion in aqueous solution at 25 °C is 7.91 × 10−8 m2 s−1 V−1. Calculate the molar ionic conductivity.An effusion cell has a circular hole of diameter 2.50 mm. If the molar mass of the solid in the cell is 260 g mol−1 and its vapour pressure is 0.835 Pa at 400 K, by how much will the mass of the solid decrease in a period of 2.00 h?
- The diffusion coefficient of I2 in hexane at 25 °C is 4.05 × 10−9 m2 s−1. Estimate the time required for an iodine molecule to have a root mean square displacement of 1.0 cm.The limiting molar conductivities of KF, KCH3CO2, and Mg(CH3CO2)2 are 12.89 mS m2 mol−1, 11.44 mS m2 mol−1, and 18.78 mS m2 mol−1, respectively (all at 25 °C). What is the limiting molar conductivity of MgF2 at this temperature?The mobility of an ethanoate (acetate) ion in aqueous solution at 25 °C is 4.24 × 10−8 m2 s−1 V−1. Calculate the molar ionic conductivity.
- Estimate the diffusion coefficients and the effective hydrodynamic radii of the alkali metal cations in water from their mobilities at 25 °C (refer to the Resource section for values of the mobilities). Estimate the approximate number of water molecules that are dragged along by the cations. Ionic radii are given Table 15C.2.Use the experimental value of the thermal conductivity of neon (Table 16A.1) to estimate the collision cross-section of Ne atoms at 273 K.Estimate the diffusion coefficient of the Na+ and Cl− ions in water at 298 K from the molarconductivity at infinite dilution, Λ??∞ (NaCl) = 138.46 S cm2 mol−1 and the transport number,t(Na+) = 0.377. Calculate the mean distance travelled by Cl− ions over a 7 hour period.Question 7Describe the structure and nature of the ionic atmosphere about an ion. Explain whathappens to the ionic atmosphere in the presence of an electric field.