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A young R & D engineer at Carron Chemical Company has synthesized a sensational new fertilizer made of just two interchangeable basic raw materials. The company wants to take advantage of this opportunity and produce as much as possible of the new fertilizer. The company currently has $40, 000 to buy raw materials at a unit price of $8000 and $5000 per unit, respectively. When amounts x1 and x2 of the basic raw materials are combined, a quantity q of fertilizer results given by:
a) Formulate as a nonlinear program.
b) Apply four iterations of the Frank-Wolfe algorithm; graphically identify the optimal point, using the property that even- and odd-numbered points lie on lines directly toward the optimum. Start from x 0 = (0, 0) and use three decimal places in your computations.
c) Solve the problem using the algorithm for quadratic programming discussed in Section 13.7.
production of chemicals from coalcoal has been considered a major component of u.s. energy reserves for a long time and
A plant has a batch of 100 kmol of a liquid mixture containing 20 mol% benzene and 80 mol% chlorobenzene. It is desired to rectify this mixture at 1 atm to obtain bottoms containing only 0.1 mol% benzene. The relative volatility may be assumed con..
Calculate the new rotor current frequency.
A vapor rate of 2500 kg/h is required and the vaporizer will operate at 6 bara. Size the vessel to restrict the carryover of liquid droplets. The liquid hold-up time need not be considered, as the liquid level will be a function of the thermal des..
For a coil current I (dc), derive an expression for the force on the plunger.
determine the circulation rate of the refrigerant, the heat-transfer rate in the condenser, the power requirement, the coefficient of performance of the cycle, and the coefficient of performance of a Carnot refrigeration cycle operating between th..
Determine the pinch temperature and the minimum utility requirements for the process set out below. Take the minimum approach temperature as 15 °C. Devise a heat-exchanger network to achieve maximum energy recovery.
what is the thermal efficiency of the cycle and what fraction of the steam entering the turbine is extracted for each feedwater heater?
Calculate the work done in the isothermal reversible expansion of one mole of CH4 (g) from 1.00 dm3 to 10.00 dm3 at 300 K. Treat methane as a van der Waals gas. The van der Waals gas constants for methane are: a=2.3026 dm6⋅bar⋅mol−2 and b=0.043067 dm..
Critique the assumption that the exit streams are at equilibrium. Additional data: Henry's law constant for DMA at 25 °C is 1.84 bar.
A beaker filled with an equimolar liquid mixture of ethyl alcohol and ethyl acetate evaporates at O°C into still air at 101 kPa (1 atm) total pressure. Assuming Raoult's law applies, what will be the composition of the liquid remaining when half t..
Use Raoult's law to estimate the composition of the liquid and the system temperature.
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