/*! 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 29 Air in industrial plants is subj... [FREE SOLUTION] | 91Ó°ÊÓ

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Air in industrial plants is subject to contamination by many different chemicals, and companies must monitor ambient levels of hazardous species to be sure they are below limits specified by the National Institute for Occupational Safety and Health (NIOSH). In personal breathing-zone sampling (as opposed to area sampling), workers wear devices that periodically collect air samples less than 10 inches away from their noses. Breathing-zone sampling and analysis methods for hundreds of species are set forth in the NIOSH Manual of Analytical Methods. \(^{13}\) For benzene, NIOSH specifies a recommended exposure limit (REL) of 0.1 ppm time-weighted average exposure (TWA), and the Occupational Safety and Health Administration (OSHA) permissible exposure limit (PEL) is 1.0ppm TWA. A worker in a petrolcum refinery has a personal breathing-zone sampler for benzenc clipped to her shirt collar. Following the NIOSH prescription, air is pumped through the sampler at a rate of \(0.200 \mathrm{L} / \mathrm{min}\) by a small battery-operated pump attached to the worker's belt. The sampler contains an adsorbent that removes essentially all of the benzene from the air passing through it. After several hours, the sampler is removed and sent to a lab for analysis, and the worker puts on a fresh sampler. On a particular day when the temperature is \(21^{\circ} \mathrm{C}\) and barometric pressure is \(730 \mathrm{mm}\) Hg, samples are collected during a 4-h period before lunch and a 3.5-h period after lunch. The analytical laboratory reports \(0.17 \mathrm{mg}\) of benzene in the first sample and \(0.23 \mathrm{mg}\) in the second. (a) Calculate the average benzene concentration, \(C_{\mathrm{B}}(\mathrm{ppm}),\) in the worker's breathing zone during each sampling period, where 1 ppm = 1 mol C \(_{6} \mathrm{H}_{6} / 10^{6}\) mol air. (b) The worker's TWA is the average concentration of benzene in her breathing zone during the eight hours of her shift. It is calculated by multiplying \(C_{\mathrm{B}}\) in each sampling period by the time of that period, summing the products over all periods during the shift, and dividing by the total time of the shift. Assume that the worker's exposure during the unsampled 30 minutes was zero, and calculate her TWA. (c) If the worker's exposure is above the recommended limits, what actions might the company take?

Short Answer

Expert verified
The average benzene concentration during each sampling period and the worker's TWA need to be calculated first. If the TWA exceeds the NIOSH or OSHA limits, the company will need to take corrective measures. These could include improving the ventilation system, providing adequate personal protective equipment like masks or respirators, or modifying the work procedures to minimize benzene exposure.

Step by step solution

01

Calculation of average benzene concentration for each period

First, we need to convert the mass of benzene into the number of moles. We know the molecular weight of benzene (\(C_6H_6\)) is 78.11 g/mol, so we use this to convert the milligrams into moles. Next, we calculate the total air volume this sample was taken from using the pump rate and the time period. Lastly, we find the concentration by dividing the number of moles of benzene by the number of moles of air. We can find the number of moles of air by using the ideal gas law n = PV/RT, where we will use the given temperature and pressure and R as the ideal gas constant in appropriate units.
02

Calculation of the Time-Weighted Average (TWA)

We need to find the average benzene concentration over her 8 hour shift. As per the problem, during the un-sampled 30 minutes, benzene exposure was zero. Therefore, the TWA is calculated by adding the product of the concentration and the time for each period and then dividing the total by the total time of the shift.
03

Analyze and Recommend Actions

Now we need to compare the calculated TWA to the NIOSH recommended exposure limit (REL) and the Occupational Safety and Health Administration (OSHA) permissible exposure limit (PEL). If our calculated TWA exceeds these limits, we need to make some recommendations. This could include improving the ventilation system, providing respirators or masks, or changing work procedures to reduce exposure. These are general suggestions and the specific actions may depend on the exact situation in the plant.

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Key Concepts

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

Air Contamination
Air contamination in industrial settings is a significant concern as it involves the presence of harmful substances in the air that workers may breathe. These contaminants can include a variety of chemicals, often varying based on the specific type of industry. Contaminated air can have adverse health effects, ranging from mild irritation to serious respiratory diseases.
The National Institute for Occupational Safety and Health (NIOSH) establishes limits to ensure that workers are not exposed to concentrations that could be detrimental to their health. Monitoring and managing air contamination is crucial for maintaining a safe working environment. Regular assessments and appropriate safety measures, like ventilation and personal protective equipment, help minimize risks.
Benzene Exposure
Benzene is a volatile chemical compound commonly found in industrial environments, particularly those dealing with petroleum and chemicals. It is colorless and highly flammable. Prolonged exposure to benzene is a health risk as it is known to be carcinogenic.
NIOSH sets a recommended exposure limit (REL) for benzene to be 0.1 parts per million (ppm) as a time-weighted average (TWA). Meanwhile, the Occupational Safety and Health Administration (OSHA) limits exposure to 1.0 ppm. These limits are in place to protect workers from potential health effects like leukemia, a type of cancer, which has been linked to long-term benzene exposure.
  • Continuous monitoring through sampling ensures that exposure levels do not exceed these limits.
  • Employers should mitigate benzene exposure by controlling these levels, enforcing protective measures, and educating workers.
Personal Breathing-Zone Sampling
Personal breathing-zone sampling is a method used to assess the exposure of workers to airborne contaminants. This approach involves attaching a sampling device to the worker, usually within 10 inches of their nose, to collect air samples.
The device typically works by drawing air through a filter or absorbent, capturing contaminants like benzene. The collected sample is then analyzed in a laboratory to determine the concentration of harmful substances.
  • This type of sampling provides an accurate representation of an individual worker's exposure, compared to ambient sampling which measures the general air quality of a work area.
  • It enables companies to take specific actions if any individual's exposure exceeds recommended levels.
Time-Weighted Average (TWA)
The Time-Weighted Average (TWA) is a calculation used to assess the average level of exposure to contaminants over a period, typically the duration of a work shift. This average considers the exposure levels during sampled times and estimates for unsampled periods.
In practice, TWA involves:
  • Multiplying the concentration of a contaminant for each sampled period by the time duration of the period.
  • Summing these products.
  • Dividing the total by the total hours of the work shift.
It is a standard method to determine compliance with exposure limits like those set by NIOSH and OSHA. TWA helps in understanding the potential risk levels workers face in their work environment throughout their shift, ensuring protective measures are based on realistic exposure assessments.

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Most popular questions from this chapter

Magnesium sulfate has a number of uses, some of which are related to the ability of the anhydrate form to remove water from air and others based on the high solubility of the heptahydrate \(\left(\mathrm{MgSO}_{4} \cdot 7 \mathrm{H}_{2} \mathrm{O}\right)\) form, also known as Epsom salt. The densities of the anhydrate and heptahydrate crystalline forms are 2.66 and \(1.68 \mathrm{g} / \mathrm{mL},\) respectively. Suppose you wish to form a 20.0 wt\% \(\mathrm{MgSO}_{4}\) aqueous solution by simply pouring crystals of one of the forms into a tank of water while the temperature is held constant at \(30^{\circ} \mathrm{C}\). The specific gravity of the 20.0 wt\% solution at \(30^{\circ} \mathrm{C}\) is \(1.22 .\) Answer the following questions for both forms of the \(\mathrm{MgSO}_{4}\) crystals: (a) What volume of water should be in the tank before crystals are added if the final product is to be 1000 kg of the 20 wt\% solution? (b) Suppose the tank diameter is \(0.30 \mathrm{m}\). What is the height of liquid in the tank before the crystals are added? (c) What is the height of the water in the tank after addition of the crystals but before they begin to dissolve? (d) What is the height of liquid in the tank after all the MgSO \(_{4}\) has dissolved?

One gram-mole of methyl chloride vapor is contained in a vessel at \(100^{\circ} \mathrm{C}\) and 10 atm. (a) Usc the ideal-gas equation of state to estimate the system volume. (b) Suppose the actual volume of the vessel is 2.8 liters. What percentage error results from assuming ideal-gas bchavior?

A balloon \(20 \mathrm{m}\) in diameter is filled with helium at a gauge pressure of 2.0 atm. A man is standing in a basket suspended from the bottom of the balloon. A restraining cable attached to the basket kecps the balloon from rising. The balloon (not including the gas it contains), the basket, and the man have a combined mass of \(150 \mathrm{kg}\). The temperature is \(24^{\circ} \mathrm{C}\) that day, and the barometer reads \(760 \mathrm{mm} \mathrm{Hg}\) (a) Calculate the mass (kg) and weight (N) of the helium in the balloon. (b) How much force is exerted on the balloon by the restraining cable? (Recall: The buoyant force on a submerged object equals the weight of the fluid- -in this case, the air- -displaced by the object. Neglect the volume of the basket and its contents.) (c) Calculate the initial acceleration of the balloon when the restraining cable is released. (d) Why does the balloon eventually stop rising? What would you need to know to calculate the altitude at which it stops? (e) Suppose at its point of suspension in midair the balloon is heated, raising the temperature of the helium. What happens and why?

Chemicals are stored in a laboratory with volume \(V\left(\mathrm{m}^{3}\right) .\) As a consequence of poor laboratory practices, a hazardous species, A, enters the room air (from inside the room) at a constant rate \(\dot{m}_{\mathrm{A}}(\mathrm{g} \mathrm{A} / \mathrm{h})\) The room is ventilated with clean air flowing at a constant rate \(\dot{V}_{\text {air }}\left(\mathrm{m}^{3} / \mathrm{h}\right) .\) The average concentration of A in the room air builds up until it reaches a steady-state value \(C_{\mathrm{A}, \mathrm{r}}\left(\mathrm{g} \mathrm{A} / \mathrm{m}^{3}\right)\) (a) List at least four situations that could lead to A getting into the room air. (b) Assume that the A is perfectly mixed with the room air and derive the formula $$\dot{m}_{\mathrm{A}}=\dot{V}_{\mathrm{air}} C_{\mathrm{A}}$$ (c) The assumption of perfect mixing is never justificd when the enclosed space is a room (as opposed to, say, a stirred reactor). In practice, the concentration of A varies from one point in the room to another: it is relatively high near the point where A enters the room air and relatively low in regions far from that point, including the ventilator outlet duct. If we say that \(C_{\mathrm{A}, \text { duct }}=k C_{\mathrm{A}}\) where \(k < 1\) is a nonideal mixing factor (generally between 0.1 and \(0.5,\) with the lowest value corresponding to the poorest mixing), then the equation of Part (b) becomes $$\dot{m}_{\mathrm{A}}=k \dot{V}_{\mathrm{air}} C_{\mathrm{A}}$$ Use this equation and the ideal-gas equation of state to derive the following expression for the average mole fraction of \(A\) in the room air: $$y_{\mathrm{A}}=\frac{\dot{m}_{\mathrm{A}}}{k \dot{V}_{\mathrm{air}}} \frac{R T}{M_{\mathrm{A}} P}$$ where \(M_{\mathrm{A}}\) is the molecular weight of \(\mathrm{A}\) (d) The permissible exposure level (PEL) for styrene \((M=104.14\) ) defined by the U.S. Occupational Safcty and Health Administration is 50 ppm (molar basis). \(^{21}\) An open storage tank in a polymerization laboratory contains styrene. The evaporation rate from this tank is estimated to be \(9.0 \mathrm{g} / \mathrm{h}\). Room temperature is \(20^{\circ} \mathrm{C}\). Assuming that the laboratory air is reasonably well mixed (so that \(k=0.5\) ), calculate the minimum ventilation rate \(\left(\mathrm{m}^{3} / \mathrm{h}\right)\) required to keep the average styrene concentration at or below the PEL. Then give several reasons why working in the laboratory might still be hazardous if the calculated minimum ventilation rate is used. (e) Would the hazard level in the situation described in Part (d) increase or decrease if the temperature in the room were to increase? (Increase, decrease, no way to tell.) Explain your answer, citing at least two effects of temperature in your explanation.

The flow of airto a gas-fired boiler fumace is controlled by a computer. The fuel gases used in the fumace are mixtures of methane (A), ethane (B), propane (C), \(n\) -butane (D), and isobutane (E). At periodic intervals the temperature, pressure, and volumetric flow rate of the fuel gas are measured, and voltage signals proportional to the values of these variables are transmitted to the computer. Whenever a new feed gas is used, a sample of the gas is analyzed and the mole fractions of each of the five components are determined and read into the computer. The desired percent excess air is then specified, and the computer calculates the required volumetric flow rate of air and transmits the appropriate signal to affow-control valve in the air line. The linear proportionalities between the input and the output signals and the corresponding process variables may be determined from the following calibration data: (a) Create a spreadsheet or write a program to read in values of \(R_{\mathrm{f}}, R_{T}, R_{P},\) the fuel gas component mole fractions \(x_{\mathrm{A}}, x_{\mathrm{B}}, x_{\mathrm{C}}, x_{\mathrm{D}},\) and \(x_{\mathrm{E}},\) and the percent excess air \(P X,\) and to calculate the required value of \(R_{\Lambda}\) (b) Run your program for the following data. $$\begin{array}{lcccccccc} \hline R_{\mathrm{f}} & R_{\mathrm{T}} & R_{P} & x_{\mathrm{A}} & x_{\mathrm{B}} & x_{\mathrm{C}} & x_{\mathrm{D}} & x_{\mathrm{E}} & P X \\ \hline 7.25 & 23.1 & 7.5 & 0.81 & 0.08 & 0.05 & 0.04 & 0.02 & 15 \% \\ 5.80 & 7.5 & 19.3 & 0.58 & 0.31 & 0.06 & 0.05 & 0.00 & 23 \% \\ 2.45 & 46.5 & 15.8 & 0.00 & 0.00 & 0.65 & 0.25 & 0.10 & 33 \% \\ \hline \end{array}$$

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