A thin film of Co was deposited on the end of a long cylinder of Fe3O4. Afterwards, the cylinder was annealed for 20 hours and then the Co concentration was measured. The Co concentration values are given in the table. Calculate the diffusion coefficient of Co in Fe3O4 at the annealing conditions. x (um) C(x, t) (mol/cm³) 20 7.78x10-4 40 7.33x10-4 60 6.64×10-4 80 5.78x10-4
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- The diffusion coefficient of valine in water at 298 KKis 0.831×10−9m2⋅s−10.831×10−9m2⋅s−1. Determine the time it will take a valine molecule on average to diffuse an rms distance of 2.00. If the molecular diameter of valine is taken to be 0.300 nmnm, what is the time per random walk step?At 0°C and 1 bar, a monolayer of CO adsorbed on 1 g of Fe/Al2O3 catalyst occupies a volume of 4.25 cm3. What is the area of the catalyst? The area per adsorbed particle is 0.165 nm2. Give your answer in m2.Consider liquid n - hexane in a 50 - mm - diameter graduated cylinder. The distance from the liquid - gas interface to the top of the cylinder is 20 cm. The steady - state n - hexane evaporation rate is 8.2.10-4 kg / s and the n - hexane mass fraction at the liquid - air interface is 0.482. The diffusivity of n - hexane in air is 8.0. 10 ^ m / s. A. Determine the mass flux of n - hexane vapor. Give units. B. Determine the bulk flux of n - hexane vapor, i.e. , that portion associ ated with the bulk flow, at the liquid - gas interface. C. Determine the diffusional flux of n - hexane vapor at the liquid - gas interface.
- A monolayer of N2 molecules is adsorbed on the surface of 1.00 g of an Fe/Al2O3 catalyst at 77 K, the boiling point of liquid nitrogen. Upon warming, the nitrogen occupies 3.86 cm3 at 0 °C and 760 Torr. What is the surface area of the catalyst? Use the value of the collision cross-section for N2 (from the Resource section) as an estimate for the area of a molecule.An amino acid moves randomly through water with steps of about 3 angstroms (3 x 10^-8 cm) in length at a rate of 1 x 10^10 steps per second. This substance is passing through a reverse phase HPLC column which has a plate height of 0.010 cm. 1. Estimate the diffusion coefficient for the amino acid in water. 2. Calculate the width at the base of the elution zone after the amino acid has migrated 50 cm through the columnThe sedimentation coefficient for a protein in solution is determined to be 4.3 S, and the diffusion coefficient to be 5.5x10-11 m2s-1 (vb = 0.74 mLg-1; density = 1.0 gmL-1; and viscosity = 1.0x10-3 Pas-1). Use this information to calculate the molar mass (kgmol-1) of the protein. Assume temperature of 298 K.
- The thermal conductivity of carbon dioxide at 0 ºC is 0.0145 J K-1m-1 s-1. Estimate the diameter of the molecule knowing that Cp,M= 66 Jmol-1 K-1. Solution: 4.23 ÅCarbon is allowed to diffuse through a steel plate 12 mm thick. The concentrations of carbon at the two faces are 0.87 and 0.42 kg C/m3 in Fe, which are maintained constant. If the preexponential and activation energy are 6.2 × 10-7 m2/s and 80,000 J/mol, respectively, compute the temperature (in K) at which the diffusion flux is 6.4 × 10-10 kg/m2-s.Chromium is diffused into steel at 980o C to increase its corrosion resistance. If during the diffusion the surface concentration of chromium is maintained constant, how long will it take to achieve 1.8% of the surface concentration at a depth of 0.002 cm below the steel surface? Express your answer in seconds. The diffusivity has a pre-exponential term equal to 0.54 cm2/s and an activation energy of 286 kJ/mole.
- What factor(s) will affect the magnitude of hysteresis of sorption isotherm?I. The nature of food.II. The rate of water removal.III. The amount of water removed during the drying process.IV. The temperature of the drying operation. a.I and II b. I only c. II, III and IV d. All of aboveCalculate the surface excess of solute given the following data:Molar concentration in bulk solution as prepared:0.100 mol dm-3Molar concentration in bulk solution as determined:0.981 mol dm-3Total volume of solution: 100 cm3Radius of beaker containing the solution: 2.50 cmThe adsorption equilibrium isotherm for aqueous phenol solution and activated carbon can be determined from the following data: c kg phenol/m3 solution q kg phenol/kg carbon 0.3220 0.150 0.1170 0.122 0.0390 0.094 0.0061 0.059 0.0011 0.045 Determine the appropriate isotherm for this experimental run