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Engineering Units and Relationships in Chemical Systems

Understand units, linearizations, balances, and relationships in chemical engineering systems with examples and calculations.

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Engineering Units and Relationships in Chemical Systems

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  1. CHE 205

  2. Units and Linearization MW and SG Pressure and Manometers Flowcharts and DOF Balances $200 $200 $200 $200 $200 $400 $400 $400 $400 $400 $600 $600 $600 $600 $600 $800 $800 $800 $800 $800 $1000 $1000 $1000 $1000 $1000

  3. What are the units of the constant in the following equation: b = 0.08664 R * T / P where b(L/mol), P(atm), T(K), R(L*atm/mol*K)

  4. What is the linearized form of the following equation? (y+2)2 = (sin x / nx)2 + b

  5. What type of relationship is the following equation and which axes would be necessary in order for the plot of C vs. R to be a straight line? C = m*Rb

  6. If an exponential curve fits the points (2.3, 20) and (7.6, 476), what are the slope and intercept of the semi-log plot?

  7. DAILY DOUBLE

  8. What are the slope and intercept (with units) of the following power law relationship: P(atm) = a*x(N)b

  9. What is the definition of molecular weight?

  10. What is the definition of specific gravity?

  11. If an object sinks in a container of water, what can you say about its density and specific gravity?

  12. What is the average molecular weight of a equimolar mixture of benzene, toluene, and xylene?

  13. What is the average molecular weight of a mixture with 20 wt% ethane, 35 wt% butane, 15 wt% hexane, and the rest octane?

  14. If an open tank has 30 ft of water standing in it, what is the gauge pressure (in atm) at the bottom of the tank?

  15. If an open tank has 25 in of mercury standing in it, what is the absolute pressure (in bar) at the bottom of the tank?

  16. What is the gauge pressure in a closed tank if the absolute pressure is 12.5 psi?

  17. What is the height of a liquid (SG = 0.92) in an open tank if the gauge pressure at the bottom of the tank is 225 kPa?

  18. DAILY DOUBLE

  19. What is the pressure at the top of a closed tank if it contains a liquid at a height of 28 m (SG = 0.92) and the gauge pressure at the bottom of the tank is 225 kPa?

  20. What is missing from the following flowchart? 100 kg 0.3 kg A/kg 0.7 kg B/kg x1 kg A/kg x2 kg B/kg 0.2 kg B/kg 0.8 kg C/kg m1 (kg)

  21. Complete the following flowchart using only variables (do not solve) 50 kg A/s 0.6 kg A/kg 0.4 kg B/kg 75 kg /s 0.4 kg B/kg 0.6 kg C/kg 0.7 kg A/kg 0.3 kg B/kg 0.2 kg A/kg 0.8 kg C/kg

  22. Determine the number of Degrees of Freedom in the following system 35 lbm m1 (lbm) 0.45 lbm A/lbm 0.55 lbm B/lbm x1lbm A/lbm (1-x1) lbm B/lbm 20 lbm 0.85 lbm A/lbm 0.15 lbm B/lbm

  23. Determine the number of Degrees of Freedom in the overall system m1 kg /s 50 kg A/s x1 kg A/kg (1-x1) kg B/kg m3 kg /s mo kg /s 0.4 kg B/kg 0.6 kg C/kg 0.7 kg A/kg 0.3 kg B/kg m2 kg /s x2 kg A/kg x3 kg B/kg (1-x2-x3) kg C/kg m4 kg /s 0.2 kg A/kg 0.8 kg C/kg

  24. What is the number of Degrees of Freedom in the first separator for the following system? 5000 g m1 (g) m3 (g) 0.25 g A/g 0.35 g B/g 0.40 g C/g 0.60 g A/g 0.25 g B/g 0.15 g C/g x1 g A/g (1-x1) g B/g x2 g A/g (1-x2) g B/g m4 (g) m2 (g) 3500 g 0.45 g B/g 0.55 g C/g x3 g A/g (1-x3) g B/g

  25. How many balances are independent in the following system? 100 kg m2 (kg) x1 kg A/kg x2 kg B/kg (1-x1-x2) kg C/kg 0.3 kg A/kg 0.7 kg B/kg 0.2 kg B/kg 0.8 kg C/kg m1 (kg)

  26. Please write the balance on B in the following system: 100 kg m2 (kg) x1 kg A/kg x2 kg B/kg (1-x1-x2) kg C/kg 0.3 kg A/kg 0.7 kg B/kg 0.2 kg B/kg 0.8 kg C/kg m1 (kg)

  27. What is the mathematical expression that represents the following statement: the feed ratio of A to B is 2:1? m1 (kg) mA (kg) x1 kg A/kg (1-x1) kg B/kg mB (kg)

  28. Write the mathematical expression that represents the statement – 70% of the water is stripped from the feed solution and sent to a processing plant m2 (kg) mo (kg) x2 kg A/kg (1-x2) kg H2O/kg x1 kg A/kg (1-x1) kg H2O/kg m1 (kg H2O) To processing plant

  29. What is the total molar amount of the overhead product (mO) if 93% of A is recovered in this stream? mO (mol) 200 mol 0.95 mol A/mol 0.05 mol B/mol 0.5 mol A/mol 0.5 mol B/mol mB (mol) x1 mol A/mol (1-x1) mol B/mol

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