Two (spherical) species are to be separated by centrifugation. the ratio between the rrodified mass and the viscous coefficient (6par) is 3.1 x 10" s for the second species, and 4.9 x 10-3 s for the first species. the diffusion coefficients are, respectively, 1.1 x 10"0 and 8.7 x 10" m'/s. a) determine the minimum length of the tube that should be used to allow for a successful separation considering the (apparent) centrifugal acceleration to be 8 x 10g. b) what would be the consequence(s) of using a longer tube?

Which accurately compares concave and convex lenses?

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.

An unknown mineral sample has a mass of 318 g and a volume of 120 cm³. which mineral could the sample be? a. gypsum (density = 2.3 g/cm³) b. quartz (density = 2.65 g/cm³) c. apatite (density = 3.1 g/cm³) d. zircon (density = 4.65 g/cm³)