Find the complete time-domain solutions for the following differential equations using Laplace transforms:
a.
b.
c.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Process Dynamics and Control, 4e
Additional Engineering Textbook Solutions
Problem Solving with C++ (10th Edition)
Database Concepts (8th Edition)
Management Information Systems: Managing The Digital Firm (16th Edition)
Mechanics of Materials (10th Edition)
Web Development and Design Foundations with HTML5 (8th Edition)
Starting Out with Python (4th Edition)
- 8-4. A pressurized-water reactor generates 70 Mw(t) in the core. The coolant-moderator mass-flow rate is 107 lbm/hr. It enters the core at 490°F. Estimate the effective thermal- neutron fission cross section in the core.arrow_forwardQ/ 8-17 cylindrical reactor core is 4 ft in diameter and 4.8 ft height. The maximum neutron flux is 1013. The extrapolation length are 0.186 ft in the radial direction and 0.3 ft in the axial direction. The fuel is 20% enriched UO2.0= 500 b. Determine (a) The neutron flux at the upper and lower rims, and (b) the maximum heat generated in the fuel in [MeV/s cm³] and [Btu/hr ft³).arrow_forwardLATIHAN 8.5-4. Concentration of NaOH Solution in Triple-Effect Evaporator. A forced-circulation triple-effect evaporator using forward feed is to be used to concentrate a 10 wt % NaOH solution entering at 37.8°C to 50%. The steam used enters at 58.6 kPa gage. The absolute pressure in the vapor space of the third effect is 6.76 kPa. The feed rate is 13 608 kg/h. The heat-transfer coefficients are U₁ = 6246, U2 = 3407, and U3 = 2271 W/m² K. All effects have the same area. Calculate the surface area and steam consumption. 8.5-1. Boiling Points in a Triple-Effect Evaporator. A solution with a negligible boiling- point rise is being evaporated in a triple-effect evaporator using saturated steam at 121.1°C (394.3 K). The pressure in the vapor of the last effect is 25.6 kPa abs. The heat-transfer coefficients are U₁ = 2840, U₂ = 1988, and U₁ = 1420 W/m² K and the areas are equal. Estimate the boiling point in each of the evaporators.arrow_forward
- The power generation unit in a plant uses a hot exhaust gas from another process to produce work. The gas enters at 10 bar and 350°C and exits at 1 bar and 40°C. The process produces a net amount of work equal to 4500 J/mol and it exchanges an unknown amount of heat with the surroundings. 1.1 Determine the amount of heat exchanged with the surroundings. Is this heat absorbed or rejected by the system? 1.2 Calculate the entropy change of the exhaust gas. 1.3 As a young and ambitious chemical engineer, you seek ways to improve the process. What is the maximum amount of work that you could extract from this system? Assume that the inlet and outlet conditions of the exhaust gas remain the same. Additional data: Assume the surroundings to be at the constant temperature of 298 K and the exhaust gas to be ideal with CP = 29.3 J/mol.Karrow_forwardLatihan mandiri Reaktor fluidisasi menggunakan katalis padat dengan diameter partikel 0,25 mm, rapat massa 1,50 g/ml, sperisitas 0,90. Pada kondisi unggun diam, porositas 0,35, tinggi unggun 2 m. Gas masuk dari bagian bawah reaktor pada suhu 600°C pada viskositas 0,025 CP serta rapat massa 0,22 lb/cuft. Pada fluidisasi minimum, porositas tercapai pada 0,45. Hitung Hitung a. Laju alir semu minimum (VM) gas masuk kolom fluidisasi ! b. Tinggi unggun jika Vo = 2 VM c. Pressure drop pada kondisi Vo = 2,5 VM < 1 m = 3,28084 ft 1 g/ml = 62,43 lbm/ft³ 1 cp gc = 6,7197 × 10-4 lbm/ft.s = 32,174 ft/s² =arrow_forwarddetermine the binary diffusion coefficient of CO2 in air at a) 200 K and 1 atm b)400K and 0.5atm c)600 K and 5 atmarrow_forward
- Using Rachford-Rice in Excel, analyze flash distillation of the following feed stream at P = 1000 kPa and T = 30°C. Feed (1000 kmol/hr) is composed of ethane (25%), propane (30%), propylene (5%) and n-hexane (40%):a. What is the composition and flowrate of the vapor stream? [V should be 196 kmol/hr when solved]b. What is the composition and flowrate of the liquid stream?c. What fraction of the n-hexane (feed) ends up in the vapor phase?d. What fraction of the ethane (feed) ends up in the liquid phase?arrow_forwardA 40 mol % ethanol 60 mol % water mixture at 60 °C and 1 atm is heated. Using Figure 2-3 answer the following:a. At what temperature does the mixture first begin to boil? What is the composition of the first bubble of vapor?b. At what temperature would it stop boiling (assume no material is removed)? What is the composition of the last droplet of liquid?c. At 82 °C, what fraction is liquid? [should be 0.6]d. When 90% has been vaporized, what is the temperature, and what are the liquid and vapor compositions?arrow_forwardUsing Rachford-Rice in Excel, analyze flash distillation of the following feed stream at P = 1000 kPa and T = 30°C. Feed (1000 kmol/hr) is composed of ethane (25%), propane (30%), propylene (5%) and n-hexane (40%):a. What is the composition and flowrate of the vapor stream? [196 kmol/hr]b. What is the composition and flowrate of the liquid stream?c. What fraction of the n-hexane (feed) ends up in the vapor phase?d. What fraction of the ethane (feed) ends up in the liquid phase?arrow_forward
- Considering the molar flux as estimated by the Whitman two-film theory, show the relationship between the mass transfer coefficients based on concentration, and mol fraction gradients, kc and ky, respectively, is given by: ky = Ckc, where C is the total concentration. do not use chatgpt please, i did not understan from it thats why i paid for bartlebyarrow_forwardConsidering the molar flux as estimated by the Whitman two-film theory, show the relationship between the mass transfer coefficients based on concentration, and mol fraction gradients, kc and ky, respectively, is given by: ky = Ckc, where C is the total concentration. please do not use chatgpt, i did not understand from it that is why i paid for this.arrow_forwardWe have a feed that is a binary mixture of methanol and water (55.0 mol% methanol) that is sent to a system of two flash drums hooked together. The vapor from the first drum is cooled, which partially condenses the vapor, and then is fed to the second flash drum. Both drums operate at a pressure of 1.0 atm and are adiabatic. The feed rate to the first drum is 1000.0 kmol/h. We desire a liquid product from the first drum that is 30.0 mol% methanol (x1 = 0.300). The second drum operates at a fraction vaporized of (V/F)2 = 0.250. The equilibrium data are in Table 2-8. Find the following for the first drum: y1, T1, (V/F)1, and vapor flow rate V1. Find the following for the second drum: y2, x2, T2, and vapor flow rate V2.arrow_forward
- Introduction to Chemical Engineering Thermodynami...Chemical EngineeringISBN:9781259696527Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark SwihartPublisher:McGraw-Hill EducationElementary Principles of Chemical Processes, Bind...Chemical EngineeringISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEYElements of Chemical Reaction Engineering (5th Ed...Chemical EngineeringISBN:9780133887518Author:H. Scott FoglerPublisher:Prentice Hall
- Industrial Plastics: Theory and ApplicationsChemical EngineeringISBN:9781285061238Author:Lokensgard, ErikPublisher:Delmar Cengage LearningUnit Operations of Chemical EngineeringChemical EngineeringISBN:9780072848236Author:Warren McCabe, Julian C. Smith, Peter HarriottPublisher:McGraw-Hill Companies, The