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In the manufacture of pharmaceuticals, most active pharmaceutical ingredients (APIs) are made in solution and then recovered by separation. Acetaminophen, a pain-killing drug commercially marketed as Tylenol", is synthesized in an aqueous solution and subsequently crystallized. The slurry of crystals is sent to a centrifuge from which two effluent streams emerge: ( 1 ) a wet cake containing 90.0 wt\% solid acetaminophen \((\mathrm{MW}=\) 151 g/mol) and 10.0 wt\% water (plus some acetaminophen and other dissolved substances, which we will neglect), and (2) a highly dilute aqueous solution of acetaminophen that is discharged from the process. The wet cake is fed to a dryer where the water is completely evaporated, leaving the residual acetaminophen solids bone dry. If the evaporated water were condensed, its volumetric flow rate would be \(50.0 \mathrm{Lh}\). Following is a flowchart of the process, which runs 24 h/day, 320 days/yr. A denotes acetaminophen. (a) Calculate the yearly production rate of solid acetaminophen (tonne/yr), using as few dimensional equations as possible. (b) A proposal has been made to subject the liquid solution leaving the centrifuge to further processing to recover more of the dissolved acetaminophen instead of disposing of the solution. On what would the decision depend?

Short Answer

Expert verified
The annual production rate of pure acetaminophen is 3456 tonnes/yr. The decision to further process the liquid solution depends on several factors such as economic feasibility, environmental impact and the concentration of the acetaminophen in the solution.

Step by step solution

01

Determine the mass of wet cake

To start, we need to find out the mass of the wet cake produced per hour. We know that the weight fraction of water in the wet cake is 10%. This means that 10% of the mass of the wet cake corresponds to the volumetric flow rate of the water evaporating which is 50 L/hour. Thus, the total mass of the wet cake (water + solid acetaminophen) can be calculated as: \( mass_{wet cake} = \frac{50 L/h}{0.10} = 500 kg/h \). We use the fact that water density is approximately 1 kg/L.
02

Calculate the mass of acetaminophen in the wet cake

Next, we need to calculate acetaminophen's mass in the wet cake per hour. We know that the weight fraction of acetaminophen in the wet cake is 90%. Therefore, using the total mass of the wet cake obtained from Step 1, the mass of acetaminophen can be given as: \( mass_{acetaminophen} = 0.90 \times mass_{wet cake} = 0.90 \times 500 kg/h = 450 kg/h \).
03

Yearly production of solid acetaminophen

Finally, knowing the amount of Acetaminophen produced per hour, we can calculate the yearly production. Remember that the process operates for 24 hours a day and 320 days per year. Thus, \( production_{yearly} = mass_{acetaminophen} \times 24 \times 320 = 450 kg/h \times 24 \times 320 = 3,456,000 kg/yr \). To convert to tonne per year, we know that 1 tonne = 1000 kg, hence yearly production = \( \frac{3,456,000}{1000} = 3456 tonnes/yr \).
04

Factors influencing decision to recover more acetaminophen

The decision to recover more of the dissolved acetaminophen would depend on: \n1. Economic feasibility: The cost of further processing vs. potential revenue from extra acetaminophen recovery. \n2. Environmental impact: Whether disposing of the solution might have harmful environmental effects. \n3. Concentration of acetaminophen: If the acetaminophen concentration in the liquid solution is significantly high, it might justify the added processing steps for greater recovery.

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Key Concepts

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

Chemical Engineering Principles in Acetaminophen Production
Chemical engineering is rooted in the production and manufacturing of chemicals on an industrial scale. When it comes to pharmaceuticals like acetaminophen, the production process involves the expertise of chemical engineers to ensure efficient, cost-effective, and environmentally conscious manufacturing methods.

In the case of acetaminophen production, the principles of chemical reactions, separation processes, and thermal operations are applied. Engineers design the synthesis pathway, which often involves reactions in solution. The reaction mixture then goes through separation techniques; crystallization is one common method used to purify the active pharmaceutical ingredient (API), in this case, acetaminophen.

Engineers also need to consider the scalability of the synthesis process, ensuring the transition from laboratory scale to an industrial scale maintains product quality and control. Furthermore, the process must comply with strict regulations and quality standards typical within the pharmaceutical industry.
Mass Balance Calculations
Mass balance is a fundamental concept of chemical engineering that adheres to the law of conservation of mass. It's essentially an accounting principle for material that enters and leaves a process, highlighting how much substance is present at each stage of manufacturing.

In the exercise, mass balance is crucial to determine the quantity of acetaminophen in the wet cake. By knowing the mass percentage of water and acetaminophen and the volumetric flow rate of evaporated water, engineers can calculate the total mass of wet cake produced. Understanding how these components relate is key to optimizing the production process for maximum efficiency and output.

The calculations guide the engineers in decision-making regarding process improvements and environmental considerations. For instance, they can evaluate whether it's economically and ecologically sound to invest in additional processes to recover acetaminophen from wastewater streams.
Pharmaceutical Crystallization
Crystallization is a separation and purification technique widely used in the pharmaceutical industry. It involves transforming a substance from a liquid solution into a solid, crystalline form, often resulting in a product with higher purity.

For acetaminophen production, this step is employed after the API has been created in solution. The precise control of the crystallization process is vital, as the purity and size of the crystals can directly impact the efficacy and quality of the pharmaceutical product.

Factors influencing crystallization include the concentration of the solute, temperature, and the presence of impurities. In a crystallizer, conditions are carefully adjusted to ensure that the pure acetaminophen precipitates out of the solution. After crystallization, the product can then be filtered out, leaving impurities in the solution that may be discarded or further processed for minimal waste.

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Most popular questions from this chapter

The little-known rare earth element nauseum (atomic weight \(=172\) ) has the interesting property of being completely insoluble in everything but 25 -year- old single-malt Scotch. This curious fact was discovered in the laboratory of Professor Ludwig von Schlimazel, the eminent German chemist whose invention of the bathtub ring won him the Nobel Prize. Having unsuccessfully tried to dissolve nauseum in 7642 different solvents over a 10 -year period, Schlimazel finally came to the \(30 \mathrm{mL}\) of The Macsporran that was the only remaining liquid in his laboratory. Always willing to suffer personal loss in the name of science, Schlimazel calculated the amount of nauseum needed to make up a 0.03 molar solution, put the Macsporran bottle on the desk of his faithful technician Edgar P. Settera, weighed out the calculated amount of nauseum and put it next to the bottle, and then wrote the message that has become part of history: "Ed Settera. Add nauseum/" How many grams of nauseum did he weigh out? (Neglect the change in liquid volume resulting from the nauseum addition.)

The reaction \(A \rightarrow B\) is carried out in a laboratory reactor. According to a published article the concentration of A should vary with time as follows: \(C_{\mathrm{A}}=C_{\mathrm{A} 0} \exp (-k t)\) where \(C_{\mathrm{A} 0}\) is the initial concentration of \(\mathrm{A}\) in the reactor and \(k\) is a constant. (a) If \(C_{\mathrm{A}}\) and \(C_{\mathrm{A} 0}\) are in \(\mathrm{Ib}-\) moles \(/ \mathrm{ft}^{3}\) and \(t\) is in minutes, what are the units of \(k ?\) (b) The following data are taken for \(C_{\mathrm{A}}(t):\) $$\begin{array}{cc}\hline t(\min ) & C_{\mathrm{A}}\left(\mathrm{lb}-\mathrm{mole} / \mathrm{ft}^{3}\right) \\\\\hline 0.5 & 1.02 \\\1.0 & 0.84 \\\1.5 & 0.69 \\\2.0 & 0.56 \\\3.0 & 0.38 \\\ 5.0 & 0.17 \\\10.0 & 0.02 \\\\\hline\end{array}$$ Verify the proposed rate law graphically (first determine what plot should yield a straight line), and calculate \(C_{\mathrm{A} 0}\) and \(k\) (c) Convert the formula with the calculated constants included to an expression for the molarity of A in the reaction mixture in terms of \(t\) (seconds). Calculate the molarity at \(t=265 \mathrm{s}\).

You purchase six oranges that weigh a total of \(2 \mathrm{Ib}_{\mathrm{f}}\) and 13 ounces. After cutting them open and squeezing all the juice your strength allows into a large measuring cup, you weigh the remaining pulp and orange peels. They weigh 1 Ib \(_{\mathrm{f}}\) and 12 ounces and the total volume of the juice is 1.75 cups. What is the specific gravity of orange juice? State any assumptions you make.

The feed to an ammonia synthesis reactor contains 25 mole \(\%\) nitrogen and the balance hydrogen. The flow rate of the stream is \(3000 \mathrm{kg} / \mathrm{h}\). Calculate the rate of flow of nitrogen into the reactor in \(\mathrm{kg} / \mathrm{h}\). (Suggestion: First calculate the average molecular weight of the mixture.)

A mixture of methanol (methyl alcohol) and water contains \(60.0 \%\) water by mass. (a) Assuming volume additivity of the components, estimate the specific gravity of the mixture at \(20^{\circ} \mathrm{C} .\) What volume (in liters) of this mixture is required to provide 150 mol of methanol? (b) Repeat Part (a) with the additional information that the specific gravity of the mixture at \(20^{\circ} \mathrm{C}\) is 0.9345 (making it unnecessary to assume volume additivity). What percentage error results from the volume- additivity assumption?

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