Mathioudakis Memo 1 (1)

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Florida Institute of Technology *

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3115

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Chemistry

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Feb 20, 2024

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Memorandum To: Dr. Bo Wang From: Emma Mathioudakis Subject: Mixing Experiment Date: November 9, 2023 1.1 Summary: The purpose of this memo is to present the data recorded during the mixing experiment, where salt was added into an H-6250 mixing vessel. With the recorded data, the distribution of salt in the mixer versus time was calculated. Additionally, a scale-up was performed for industrial use. 1.2 Introduction: This experiment consisted of finding the concentration of a diionized (DI) water and salt (NaCl) solution, created in an H-6250 vessel. The concentration of the solution once it exited the mixer, and the power consumption of the mixer, were both recorded and used to calculate the power consumption once scaled up by a factor of ten. A graph with concentration of salt versus time was also created. This demo was set up with two 10 L tanks, one filled with DI water and the other with an NaCl solution. Then, both solutions were pumped into the mixing tank and finally pumped into waste and product tanks. Figure 1: P&ID of the Experimental Setup 1.3 Discussion:

The graph provided in section 2.2 depicts the relationship between the concentration of salt and time throughout the experiment. The concentration of the mixture was found to be about 1.78 g/L and the concentration of the salt solution was roughly 3.55 g/L. To calculate these values, the assumption that there was a constant flow rate and material properties was made. To experiment was then scaled up by a factor of ten and a constant Froude Number. All additional values needed for the calculations were provided in the lab manual. 1.4 Conclusion: The mixture completed uniform mixing in about 12 minutes. Additionally, after scaling-up the results, the values aligned with real life expected values. The power consumption after scale-up was roughly 168 Watts. 1.5 Recommendations: The procedure was easy to follow, but a recommendation to make the experiment run more smoothly would be to have less people working such a small space. Additionally, a better run down of the procedure should be given to the students to avoid confusion during the first few minutes of the experiment, as this experiment is completed relatively quickly. 2.1 Procedure: Turn on the power to the mixer as well as all pumps filled with the solutions. As soon as the liquid reaches the mixture, the time should start being recorded. Once a constant flow rate has been reached, begin recording the volumetric flow rate taken from the beaker. Then, record the conductivity of the solution in the beaker. Continue filling a beaker at the top of each minute until three consistent conductivities are recorded. Once the conductivity has settled, the experiment is complete. 2.2 Sample Calculations: Volumetric Flow Rate, Q (L/s) ? = 𝐿 ? = 0.123 27.88 = 0. 004412 𝐿/? Concentration of NaCl ? 𝑁𝑎?? = ? ?𝑖𝑥 *? ?𝑖𝑥 −? ?? *? ?? ? 𝑁𝑎?? = (0.004412*0.1123)−0 0.0022 = 0. 22466 Reynold’s Number, Re ?𝑒 = ? 1 2 *𝑁 1 *⍴ µ = 0.058 2 *5*996.59 8.90 = 1. 88

Froude’s Number, Fr 𝐹? = ? 1 *𝑁 1 2 𝑔 = 0.058*5 2 9.81 = 0. 148 Power, P ? = 𝑁 𝑝 * 𝑁 1 3 * ? 2 5 * ⍴ = 0. 65 * 5 3 * 0. 58 5 * 996. 59 = 0. 053 Volume, V 𝑉 = π*? ?𝑎?? 2 *? 4 = 3.141*0.13 2 *0.155 4 = 0. 0021 Power per unit mass ? 1 𝑉 1 = 0.053 0.0021 = 25. 83 Volume after scale-up 𝑉 2 = 𝑉 1 * ? 3 = 0. 0021 * 10 3 = 2. 06 2.3 Figures and Tables: Figure 2: Concentration of Salt vs. Time Plot

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