[60 marks] Question 2: Show all your detailed calculations. The screen analysis shown in Table 1 below applies to a sample of crushed quartz. The density of the spherical particles is

around 6542 kg/m³ the sphericity is around 0.771. Refereing to the tabulated data, answer the following questions: a) [5 marks] What is a sieve analysis method? What are the disadvantages of this method compatred to the laser diffraction technique? b) [5 marks] Three interrogation marks are located in the provided table. Determine the values of such unknowns upon noting that the screen opening of the 14-mesh is 70% that of the 10-mesh, and that of the 48-mesh is the average of the screen openings of both meshes sandwiching it. c) [10 marks] Plot the graph evaluating the relationship between screen openings and mass of particles retained on each of the used meshes. You need to provide an explanation of that plot upon analyzing it and concluding its main outcomes. d) [10 marks] For the material between 4-mesh and 150-mesh in particle size, calculate the specific surface of that mixture, in millimeters per gram sample. By how much this surface area will change if 52.7 millimeters of samples are to be analyzed. e) [10 marks] For the material between 4-mesh and 50-mesh in particle size, calculate the number of particles in that mixture, in particles per kilogram sample. f) [5 marks] Based on the data determined in parts d) and e), deduce the values of Ds, D, and Dw- g) [5 marks] What fraction of the total number of particles, contained in the 4/150-mesh, is in the 20/28-mesh increment?/nh) [10 marks] Determine the percentage finer for all mesh screens having openings greater than 4.5 mm yet smaller than 104 cm. Analyze such results and state why these values follow a specific trend (i.e. constantly decreasing or constantly increasing). 4 6 8 10 19948855 20 28 35 Mesh 65 100 150 Pan Table 1: Sieve analysis results data for scrushed quartz. Screen opening (Dpi, mm) 4.699 3.327 2.368 1.651 ? 0.833 0.589 0.417 ? 0.208 0.147 0.104 Mass fraction retained (xi) 0.000 0.0257 0.1256 0.3209 0.2566 0.1090 0.0536 0.0210 0.0102 0.0080 0.0081 0.0013