(35 points) You have been assigned the task to determine different properties of a bulk of catalyst particles your company purchased. You performed a screen analysis of a sample of the catalyst. The data from the screen analysis is tabulated in Table 1. The particles are irregular in shape with sphericity 0.8, shape factor 0.75 and specific gravity 1.8. (a) draw a histogram showing the distribution of the particles. (b) Draw cumulative mass fraction versus particle size. (c) determine the mass mean diameter of the particles. Table 1: Data from screen analysis of catalyst particles Mesh Mass of # Screen (g) 4 524.9 8 414.1 14 372.8 28 350.8 48 387.0 100 332.1 200 229.0 Pan 371.0 Mass of Screen + particles (g) 524.9 449.6 431.8 427.8 415.6 348.7 245.3 378.1