/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 In the production of soybean oil... [FREE SOLUTION] | 91Ó°ÊÓ

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In the production of soybean oil, dried and flaked soybeans are brought into contact with a solvent (often hexane) that extracts the oil and leaves behind the residual solids and a small amount of oil. (a) Draw a flowchart of the process, labeling the two feed streams (beans and solvent) and the leaving streams (solids and extract). (b) The soybeans contain 18.5 wt\% oil and the remainder insoluble solids, and the hexane is fed at a rate corresponding to \(2.0 \mathrm{kg}\) hexane per \(\mathrm{kg}\) beans. The residual solids leaving the extraction unit contain 35.0 wt\% hexane, all of the non-oil solids that entered with the beans, and \(1.0 \%\) of the oil that entered with the beans. For a feed rate of \(1000 \mathrm{kg} / \mathrm{h}\) of dried flaked soybeans, calculate the mass flow rates of the extract and residual solids, and the composition of the extract. (c) The product soybean oil must now be separated from the extract. Sketch a flowchart with two units, the extraction unit from Parts (a) and (b) and the unit separating soybean oil from hexane. Propose a use for the recovered hexane.

Short Answer

Expert verified
The flowchart for this exercise represents the process of extracting oil from soybeans using hexane as a solvent. The mass flow rates of the extract and residual solids are calculated using mass balance equations. The recovered hexane can be used again in the extraction process or in other applications where a solvent is needed.

Step by step solution

01

Flowchart Creation (a)

Producing a flowchart for the extraction process includes indicating the soybeans and solvent as entering streams, and solids and extract as exiting streams. This diagram serves as a visual aid for understanding the process and simplifying the mass balance equations used in the calculations.
02

Mass Balances and Calculations (b)

Assuming steady-state operation, mass balances around the extraction unit can be written. First, the total material balance is given by \( \text{{input}} = \text{{output}} \), which translates into: F = E + R, where F represents the total input mass flowrate, E is the total extract flowrate, and R is the total residuals flowrate. The mass balance equation for each component (soybean, oil and hexane) are constructed using the provided composition information. Solving the set of equations yields the flowrate for extract and residuals as well as the composition of the extract.
03

Flowchart Completion and Proposal (c)

The flowchart from part (a) is enhanced in part (c) to add the separation unit, which separates hexane (to be reused in the process or in other industrial applications) from soybean oil. The recovered hexane can be proposed to be used in the same process again or in other industrial applications where a solvent is needed.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Flowchart Creation
Creating a flowchart is a vital step in understanding a chemical process. This visual tool helps us to delineate the sequence of operations, inputs, and outputs of a system more clearly. In our soybean oil extraction case, the flowchart should clearly display:
  • Two feed streams, which are the soybeans and the hexane solvent.
  • Two leaving streams, which are the residual solids (a mixture of residual oil, solids, and hexane) and the desired oil-rich extract.
Visualizing these streams and their interactions allows us to better structure the subsequent calculations. By labeling each stream, you can simplify complex mass balance equations. Imagine the flowchart as a map that guides you through the chemical process, ensuring that every step is covered quantitatively and qualitatively.
Chemical Process Calculations
Chemical process calculations are the backbone of process engineering. They help determine the flow rates and compositions of streams in chemical processes. In this scenario, we use mass balances to calculate these parameters. The key equation is the total material balance: \(\text{input} = \text{output}\). This principle applies to the entire process and to individual components, like soybeans, oil, and hexane.
To perform these calculations, we need to:
  • Define variables for each stream's flow rate and composition.
  • Set up equations based on the mass balances for these streams and components.
  • Solve the equations to find unknown values, like the extract and residuals flow rate, or the composition of the extract.
This step essentially provides a mathematical confirmation of what the flowchart visually represents, ensuring that all assumptions are validated, and the process is feasible.
Extraction and Separation Techniques
Extraction and separation techniques play a crucial role in isolating desired components in chemical processes. In this exercise, the primary goal is to separate the soybean oil from the other constituents, primarily using hexane as the extraction solvent. This technique relies on the principle that different substances have different solubilities in a solvent.
Once the oil is extracted, separating the hexane and oil becomes the focus. This can be accomplished using units like distillation columns or evaporators, which take advantage of differing boiling points or volatilities. The hexane, being volatile, can be recovered and reused. This not only makes the process more cost-effective but also environmentally friendlier by reducing waste.
Proposing a use for recovered hexane also demonstrates an understanding of the importance of recycling and sustainability in industry. The hexane might be reintroduced into the extraction cycle or employed in other solvent-involved processes, showcasing the versatility and resource efficiency.

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Most popular questions from this chapter

A liquid mixture of acetone and water contains 35 mole\% acetone. The mixture is to be partially evaporated to produce a vapor that is 75 mole \(\%\) acetone and leave a residual liquid that is 18.7 mole \(\%\) (a) Suppose the process is to be carried out continuously and at steady state with a feed rate of 10.0 kmol/h. Let \(\dot{n}_{\mathrm{v}}\) and \(\dot{n}_{1}\) be the flow rates of the vapor and liquid product streams, respectively. Draw and label a process flowchart, then write and solve balances on total moles and on acetone to determine the values of \(\dot{n}_{\mathrm{v}}\) and \(\dot{n}_{\mathrm{l}}\). For each balance, state which terms in the general balance equation (accumulation \(=\)input \(+\)generation \(-\)output\(-\)consumption ) can be discarded and why. (See Example 4.2-2.) (b) Now suppose the process is to be carried out in a closed container that initially contains 10.0 kmol of the liquid mixture. Let \(n_{\mathrm{v}}\) and \(n_{1}\) be the moles of final vapor and liquid phases, respectively. Draw and label a process flowchart, then write and solve integral balances on total moles and on acetone. For each balance, state which terms of the general balance equation can be discarded and why. (c) Returning to the continuous process, suppose the vaporization unit is built and started and the product stream flow rates and compositions are measured. The measured acetone content of the vapor stream is 75 mole \(\%\) acetone, and the product stream flow rates have the values calculated in Part (a). However, the liquid product stream is found to contain 22.3 mole \(\%\) acetone. It is possible that there is an error in the measured composition of the liquid stream, but give at least five other reasons for the discrepancy. [Think about assumptions made in obtaining the solution of Part (a).]

Draw and label the given streams and derive expressions for the indicated quantities in terms of labeled variables. The solution of Part (a) is given as an illustration. (a) A continuous stream contains 40.0 mole\% benzene and the balance toluene. Write expressions for the molar and mass flow rates of benzene, \(\dot{n}_{\mathrm{B}}\left(\operatorname{mol} \mathrm{C}_{6} \mathrm{H}_{6} / \mathrm{s}\right)\) and \(\dot{m}_{\mathrm{B}}\left(\mathrm{kg} \mathrm{C}_{6} \mathrm{H}_{6} / \mathrm{s}\right),\) in terms of the total molar flow rate of the stream, \(\dot{n}(\mathrm{mol} / \mathrm{s})\) (b) The feed to a batch process contains equimolar quantities of nitrogen and methane. Write an expression for the kilograms of nitrogen in terms of the total moles \(n(\) mol) of this mixture. (c) A stream containing ethane, propane, and butane has a mass flow rate of \(100.0 \mathrm{g} / \mathrm{s}\). Write an expression for the molar flow rate of ethane, \(\dot{n}_{\mathrm{E}}\left(\text { Ib-mole } \mathrm{C}_{2} \mathrm{H}_{6} / \mathrm{h}\right)\), in terms of the mass fraction of this species, \(x_{\mathrm{E}}\). (d) A continuous stream of humid air contains water vapor and dry air, the latter containing approximately 21 mole \(\% \mathrm{O}_{2}\) and \(79 \% \mathrm{N}_{2}\). Write expressions for the molar flow rate of \(\mathrm{O}_{2}\) and for the mole fractions of \(\mathrm{H}_{2} \mathrm{O}\) and \(\mathrm{O}_{2}\) in the gas in terms of \(\dot{n}_{1}\left(\mathrm{lb}-\mathrm{mole} \mathrm{H}_{2} \mathrm{O} / \mathrm{s}\right)\) and \(\dot{n}_{2}(\text { lb- mole dry air/s })\) (e) The product from a batch reactor contains \(\mathrm{NO}, \mathrm{NO}_{2},\) and \(\mathrm{N}_{2} \mathrm{O}_{4} .\) The mole fraction of \(\mathrm{NO}\) is 0.400. Write an expression for the gram-moles of \(\mathrm{N}_{2} \mathrm{O}_{4}\) in terms of \(n(\mathrm{mol}\) mixture) and \(y_{\mathrm{NO}_{2}}\left(\operatorname{mol} \mathrm{NO}_{2} / \mathrm{mol}\right)\)

L-Serine is an amino acid that often is provided when intravenous feeding solutions are used to maintain the health of a patient. It has a molecular weight of \(105,\) is produced by fermentation and recovered and purified by crystallization at \(10^{\circ} \mathrm{C}\). Yield is enhanced by adding methanol to the system, thereby reducing serine solubility in aqueous solutions. An aqueous serine solution containing 30 wt\% serine and \(70 \%\) water is added along with methanol to a batch crystallizer that is allowed to equilibrate at \(10^{\circ} \mathrm{C}\). The resulting crystals are recovered by filtration; liquid passing through the filter is known as filtrate, and the recovered crystals may be assumed in this problem to be free of adhering filtrate. The crystals contain a mole of water for every mole of serine and are known as a monohydrate. The crystal mass recovered in a particular laboratory run is \(500 \mathrm{g},\) and the filtrate is determined to be \(2.4 \mathrm{wt} \%\) serine, \(48.8 \%\) water, and \(48.8 \%\) methanol. (a) Draw and label a flowchart for the operation and carry out a degree-of- freedom analysis. Determine the ratio of mass of methanol added per unit mass of feed. (b) The laboratory process is to be scaled to produce \(750 \mathrm{kg} / \mathrm{h}\) of product crystals. Determine the required aqueous serine solution rates of aqueous serine solution and methanol.

Certain vegetables and fruits contain plant pigments called carotenoids that are metabolized in the body to produce Vitamin A. Lack of Vitamin A causes an estimated 250,000 to 500,000 children worldwide to become blind every year. An approach to reducing blindness and other childhood health problems resulting from this deficiency is to use genetic engineering of rice- -a food staple in developing countries and economically disadvantaged regions of the world \(-\) so that rice becomes a dietary source of Vitamin A. For example, a strain known as Golden Rice has been genetically engineered so that it can produce and store carotenoids such as \(\beta\) -carotene (which helps give carrots and squash their yellow-orange color). One type of Golden Rice contains approximately 30 micrograms of carotenoids (81\% \beta-carotene, 16\% \alpha- carotene, and 3\% \beta-cryptoxanthin) per gram of uncooked rice. A study has reported that when a person eats Golden Rice, their body metabolizes 1 microgram of Vitamin A for every 3.8 micrograms of \beta-carotene they consume. (a) It is recommended that children between 1 and 3 years of age should get 300 micrograms of Vitamin A per day. Considering only the metabolism of \(\beta\) -carotene given above, how many grams of Golden Rice would a child have to eat in order to obtain this much Vitamin A? Does this seem like a reasonable amount of rice to eat in one day, if one cup of cooked rice is approximately 175 g? (b) \(\alpha\) -carotene and \(\beta\) -cryptoxanthin can also be converted into Vitamin \(A\), but when compared to \beta-carotene, it takes twice as much of each of these compounds to produce one unit of Vitamin A. Considering all of the carotenoids in Golden Rice as potential sources of Vitamin A, how many grams of Golden Rice would a three-year-old child have to eat in order to obtain the recommended daily amount of Vitamin A? (c) Some individuals are not convinced that genetically modified foods are safe to grow or to eat. What kinds of risks or uncertainties are cited by these individuals? What kinds of measures are taken by farmers and suppliers of genetically modified seeds to minimize these risks? (d) Some people do not believe that Golden Rice is a practical, viable solution to Vitamin A deficiency around the world. Summarize the major arguments for and against production and distribution of Golden Rice.

A fuel distributor supplies four liquid fuels, each of which has a different ratio of ethanol to gasoline. Five percent of the demand is for E100 (pure ethanol), 15\% for E85 (85.0 volume\% ethanol), 40\% for E10 (10.0\% ethanol), and the remainder for pure gasoline. The distributor blends gasoline and ethanol to produce E85 and E10, and the four products are produced continuously. (a) Draw and label a flowchart for the blending operation, letting \(\dot{V}\) represent the combined volumetric flow rate of all four fuels and \(\dot{V}_{\mathrm{G}}\) and \(\dot{V}_{\mathrm{E}}\) represent the volumetric flow rates of gasoline and ethanol sold as fuels and sent to the blending operation. (b) Assuming volume additivity when blending ethanol and gasoline, determine the volumetric flow rates of all streams when delivery of 100,000 L/d of \(\mathrm{E} 10\) is specified. (c) Tank trucks are to transport the fuel from the blending operation to service stations in the area. The gross weight of a loaded truck, which has a tare (empty) weight of \(12,700 \mathrm{kg}\), cannot exceed \(36,000 \mathrm{kg} .\) Assuming the specific gravity of pure gasoline is \(0.73,\) estimate the maximum volume (L) of each fuel that can be loaded onto a truck.

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