Chemical Engineering Exercise Analysis

exercise 4 15 n.w
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This chemical engineering exercise involves finding compositions and flow rates in a process involving various components such as ACN and MP. Through the Lever Rule, vapor and liquid tie lines are used to determine the composition of streams. Additional calculations are done to analyze the temperature and composition of a second flash drum. The exercise also covers mass balance equations to ensure the validity of results.

  • Chemical Engineering
  • Composition Analysis
  • Flow Rates
  • Lever Rule
  • Mass Balance
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  1. Exercise 4.15 Created by: Jenny Bushnell 17 and Amy Penick 17 Revised by: Joe Hassler 18, Olivia Young 19 Spencer Hong 20 Andrew Simon 21 Kelsey Levine 22 Ailen Lao 23, Sanna Vedrine 23 Austin Kwan 24 Donovan Cho 25 Expectations Reality Math Chemistry Chemistry Math ChemE

  2. Parts A & B: Finding Compositions and Flow Rates 50. mol% ACN 50. mol% MP 100. mol/min vapor 3 3 heater 98 C flash drum 98 C 2 1 liquid 1.0 atm 70 C 4 4 Composition and Flow Rate of 3? Composition and Flow Rate of 4?

  3. 140 50. mol% ACN 50. mol% MP 100. mol/min vapor Part A: 3 3 heater 98 C flash drum 98 C 2 1 130 Vapor liquid 1.0 atm 70 C 4 4 120 Vapor + Liquid temperature ( C) 110 l 100 Stream 4 Stream 3 98 xACN,4 = 0.36 yACN,3 = 0.74 90 v 80 Liquid Stream 1 70 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 mol% ACN

  4. Part B: Using the Lever Rule ??= length of vapor tie line ??= 0.74 0.5 = 0.24 ??= length of liquid tie line ??= 0.5 0.36 = 0.14 FL FV dL dV 0.74 0.50 0.36 Lever Rule: ????= ???? ??(0.14) = ??(0.24) Solve! Mass Balance: ??+ ??= ?? ??+ ??= 100 Check ??> ?? Good!

  5. Parts C & D: a second flash drum is added: vapor 50. mol% ACN 50. mol% MP 100. mol/min 3 3 heater 98 C flash drum 98 C 1 2 7 cooler vapor: 50. mol% ACN 50. mol% MP 6 1.0 atm 70 C liquid second flash drum 4 4 5 heater liquid 8 Temperature and Composition of second flash drum?

  6. 140 vapor 50. mol% ACN 50. mol% MP 100. mol/min 3 3 Part C: heater 98 C flash drum 98 C 1 2 7 cooler vapor: 50. mol% ACN 50. mol% MP 6 1.0 atm 70 C 130 liquid 4 Vapor second flash drum 4 5 heater liquid 8 vapor 50. mol% ACN 50. mol% MP 100. mol/min (D) Composition of Stream 8? 3 120 ? Stream 8 heater 98 C Stream 6 7 flash drum 98 C 1 2 cooler vapor: 50. mol% ACN 50. mol% MP temperature ( C) 110 T = 111 C 6 1.0 atm 70 C liquid second flash drum 4 5 heater 100 Stream 4 Stream 3 liquid 8 Vapor + Liquid 90 80 Liquid Stream 1 xACN = .15 70 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 mol% ACN

  7. Part E: vapor 50. mol% ACN 50. mol% MP 100. mol/min 3 heater 98 C flash drum 98 C 1 2 7 cooler vapor: 50. mol% ACN 50. mol% MP F7? 6 1.0 atm 70 C liquid second flash drum 4 5 heater liquid 8 F8? rate out = rate in FT,8 + FT,3 = 100 mol/min but what are F8 and F3?

  8. 140 (E) 130 Vapor ??, ???= 0.15 ??, ???= 0.74 120 Stream 8 Stream 6 temperature ( C) 110 100 Stream 3 Stream 4 Vapor + Liquid 90 80 Liquid Stream 1 70 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 mol% ACN

  9. F8? Use the Lever Rule! Stream 8 Stream 3 vapor 0.50 50. mol% ACN 50. mol% MP 100. mol/min 3 0.15 0.74 heater 98 C flash drum 98 C 1 2 7 cooler vapor: 50. mol% ACN 50. mol% MP rate out = rate in 6 1.0 atm 70 C liquid second flash drum 4 5 Stream 1 heater liquid 8 Lever Rule: ????= ???? ?8(0.5 0.15) = ?3(0.74 0.5) Overall Mass Balance: ?8+ ?3= 100 ???/??? Solve!

  10. F7? Use the Lever Rule! Part E: We know F8 = 40.7 mol/min and F7 = F6. Solve for F6! vapor 50. mol% ACN 50. mol% MP 100. mol/min 3 heater 98 C flash drum 98 C 1 2 7 cooler vapor: 50. mol% ACN 50. mol% MP Stream 8 Stream 6 6 1.0 atm 70 C .36 liquid second flash drum 4 5 heater .15 .50 liquid 8 Stream 5 Lever Rule: ????= ???? Solve! ?8?? ?8= ?6?6 ?? 40.7 0.36 0.15 = ?60.50 0.36

  11. 4.15: Takeaways The Lever Rule applies for any species balance Can use on overall system! Check if your calculations seem reasonable Label your streams and the direction of flow on your phase diagrams

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