Please assist with question c)

Having missed your third year group practical session, you decide to go see Alvira in the experiential lab to see if you can be rescheduled for another day. You find that she is not there but decide to wait for a few minutes, while there you see that she was about to do an experiment using a stirred tank reactor to do reaction of powder X in fluid Y (for suspension) with gas Z. You come up with a great idea to do the experiments for her to help your case, because, apparently, your dog ate the medical note. After reading her detailed experimental procedure report, next to the setup, the following information is found: Density of the powder is 4430kg/m3. Density and viscosity of the fluid are 1000kg/m3 and 1mNs/m2, respectively. The particles in the powder are assumed to be spherical, and of the same size. Question 1 (20 marks) You find that there are no PSD measuring devices and to estimate the diameter of the particles, you do a quick experiment with one of the particles and measure the terminal settling velocity of approximately 61mm/s, determine the following: a) Starting with the balance of forces, derive an equation that shows the relationship between the drag coefficient and the Re0 ' using a dimensionless group, which allows calculations under terminal settling conditions independent of the diameter, d. [7] b) Using figure 6 and the equation derived above calculate the estimated diameter of the particles. 246 m [5] c) What would the estimated equivalent diameter be if the particles were cubes? 491m [8] Having missed your third year group practical session, you decide to go see Alvira in the experiential lab to see if you can be rescheduled for another day. You find that she is not there but decide to wait for a few minutes, while there you see that she was about to do an experiment using a stirred tank reactor to do reaction of powder X in fluid Y (for suspension) with gas Z. You come up with a great idea to do the experiments for her to help your case, because, apparently, your dog ate the medical note. After reading her detailed experimental procedure report, next to the setup, the following information is found: Density of the powder is 4430kg/m3. Density and viscosity of the fluid are 1000kg/m3 and 1mNs/m2, respectively. The particles in the powder are assumed to be spherical, and of the same size. Question 1 (20 marks) You find that there are no PSD measuring devices and to estimate the diameter of the particles, you do a quick experiment with one of the particles and measure the terminal settling velocity of approximately 61mm/s, determine the following: a) Starting with the balance of forces, derive an equation that shows the relationship between the drag coefficient and the Re0 ' using a dimensionless group, which allows calculations under terminal settling conditions independent of the diameter, d. [7] b) Using figure 6 and the equation derived above calculate the estimated diameter of the particles. 246 m [5] c) What would the estimated equivalent diameter be if the particles were cubes? 491m [8]