/*! 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 30 Energy may be produced from soli... [FREE SOLUTION] | 91Ó°ÊÓ

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Energy may be produced from solid waste in two ways: (1) generate methane from anaerobic decomposition of the waste and burn it (landfill-gas-to-energy, or LFGTE) or(2) burn the waste directly (waste-to-energy, or WTE). The heat generated by either method can be used to produce steam, which impinges on a turbine rotor connected to a generator to produce electricity. LFGTE produces about 215 k Wh electricity/ton of waste, and WTE produces roughly 600 kWh/ton of waste. The average output of a large power plant is 1 GW, which is enough to supply the annual residential energy consumption of a city of roughly 800,000 people. (a) The current rate of municipal solid-waste generation in the United States is approximately 413 million tons per year. If all of it were used for energy recovery, how many \(1 \mathrm{GW}\) power plants could LFGTE supply? How many if WTE is used? A useful source of information regarding LFGTE is the U.S. EPA Landfill Methane Outreach Program, http://www.epa.gov//mop/; the Waste-to-Energy Research and Technology Council at Columbia University provides useful information on WTE, http://www.seas.columbia.edu/earth/wtert/; and information on natural gas can be obtained from the U.S. Energy Information Administration, http:// www.eia.doe.gov/oil_gas/natural_gas/info_glance/natural_gas.html.

Short Answer

Expert verified
The number of 1 GW power plants that could be supplied if all US municipal solid waste were used for energy recovery depends on the method used. For LFGTE, it is approximately the figure found in Step 3 for LFGTE. For WTE, it is approximately the figure found in Step 3 for WTE.

Step by step solution

01

Calculate the Total Energy Production for LFGTE and WTE

First, calculate the total potential energy production if all the municipal solid waste was subjected to each of the two methods. For LFGTE, this would be \(413 \times 10^{6} \, \text{tons} \times 215 \, \text{kWh/ton}\) to get a value in kilowatt hours. For WTE, the analogous calculation is \(413 \times 10^{6} \, \text{tons} \times 600 \, \text{kWh/ton}\).
02

Convert Energy Yield to GW

Next, convert the energy yield from kWh to gigawatt hours (GWh) so it can be compared to the power plant output. Since 1 GWh is equivalent to \(1 \times 10^{6} \, \text{kWh}\), divide the energy yield from Step 1 by \(10^{6}\) to get a figure in GWh.
03

Calculate Number of Power Plants

Finally, since a power plant operates continuously over the course of a year, calculate the number of power plants that can be supplied by dividing the annual energy yields for LFGTE and WTE (calculated in GWh per year) by the output of a single power plant (1 GW continuously over a year corresponds to \(1 \, \text{GW} \times 24 \, \text{hours/day} \times 365 \, \text{days/year} = 8760 \, \text{GWh/year}\). Thus, divide the figures obtained in Step 2 by 8760.

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Key Concepts

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

Landfill-Gas-to-Energy (LFGTE)
Harnessing energy from the waste that fills our landfills is a method recognized for both its waste management and renewable energy benefits. Landfill-Gas-to-Energy (LFGTE) technologies capitalize on the natural decomposition of organic materials found in municipal solid waste (MSW). As waste breaks down anaerobically—without oxygen—it releases methane-rich biogas, a potent greenhouse gas.

LFGTE systems collect this gas through a series of wells and pipes networked throughout the landfill. Once collected, the biogas is processed to remove impurities and then used as fuel to generate electricity. This process creates about 215 kilowatt-hours (kWh) of electricity for every ton of waste processed, reducing methane emissions and generating a source of renewable energy.

Incorporating the exercise improvement advice, to better understand this, imagine a scenario where your city collects all of its waste in a single year and channels it through an LFGTE system. The conversion of this waste to energy could help power homes, businesses, and infrastructure, minimizing the dependency on fossil fuels and mitigating the impacts of waste on the environment.
Waste-to-Energy (WTE)
An alternative to LFGTE is the Waste-to-Energy (WTE) process which involves burning municipal solid waste directly to produce electricity. WTE technology is a form of thermal treatment where waste materials are used as a combustible fuel. More efficient than LFGTE in electricity production, WTE can generate approximately 600 kilowatt-hours (kWh) per ton of waste.

The WTE process begins with the incineration of waste, where the heat generated from burning turns water into steam. This steam then drives turbines which are connected to generators, ultimately producing electricity. Modern WTE plants are equipped with sophisticated pollution control systems to minimize environmental impact, capturing emissions and managing ash residue.

When conceptualizing the energy potential from WTE, consider that every ton of solid waste can yield enough energy to keep a 60-watt light bulb lit for over a month continuously. This potential represents not just a sustainable disposal method for our growing waste but also a significant source of renewable energy.
Municipal Solid Waste Energy Potential
The amount of energy that can be obtained from municipal solid waste (MSW) is astounding. In the United States alone, approximately 413 million tons of MSW are produced annually. Considering the energy conversion rates of both LFGTE and WTE technologies, this waste could be a key player in meeting national energy demands.

To contextualize the municipal solid waste energy potential using the exercise as an example, it would be helpful to comprehend that if all the MSW generated annually were converted into energy through LFGTE or WTE, it could supply several 1 gigawatt (GW) power plants. Such a comparison illustrates the significant role that waste can play in the broader spectrum of energy production, highlighting the importance of exploring and investing in technologies that enable waste to become a resource rather than remain a disposal problem.
Power Plant Energy Production
Power plants are the industrial engines that produce electricity for public consumption. The average output of a large power plant is around 1 gigawatt (GW), which is sufficient to supply an entire city's residential energy requirements for a year. Energy from waste, whether through LFGTE or WTE, can contribute meaningfully to this process.

In using the given exercise as a standpoint, multiply the number of hours in a year (24 hours/day * 365 days/year = 8760 hours/year) by 1 GW to understand the total output of a power plant annually. With this, we can interpret how waste-derived energy can be quantified to match the scale of power plants' capabilities. By converting trash to treasure, waste energy recovery can effectively bolster the energy grid, reducing reliance on non-renewable resources and providing cleaner, more sustainable energy options for future generations.

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Most popular questions from this chapter

Liquid water is fed to a boiler at \(24^{\circ} \mathrm{C}\) and 10 bar and is converted at constant pressure to saturated steam. (a) Use the steam tables to calculate \(\Delta \hat{H}(\mathrm{kJ} / \mathrm{kg})\) for this process, and then determine the heat input required to produce \(15,800 \mathrm{m}^{3} / \mathrm{h}\) of steam at the exit conditions. Assume the kinetic energy of the entering liquid is negligible and that steam is discharged through a 15 -cm ID pipe. (b) How would the calculated value of the heat input change if you did not neglect the kinetic energy of the inlet water and if the inner diameter of the steam discharge pipe were \(13 \mathrm{cm}\) (increase, decrease, stay the same, or no way to tell without more information)?

A Thomas flowmeter is a device in which heat is transferred at a measured rate from an electric coil to a flowing fluid, and the flow rate of the stream is calculated from the measured increase of the fluid temperature. Suppose a device of this sort is inserted in a stream of nitrogen, the current through the heating coil is adjusted until the wattmeter reads \(1.25 \mathrm{kW},\) and the stream temperature goes from \(30^{\circ} \mathrm{C}\) and \(110 \mathrm{kPa}\) before the heater to \(34^{\circ} \mathrm{C}\) and \(110 \mathrm{kPa}\) after the heater. (a) If the specific enthalpy of nitrogen is given by the formula \(\hat{H}(\mathrm{kJ} / \mathrm{kg})=1.04\left[T\left(^{\circ} \mathrm{C}\right)-25\right]\) what is the volumetric flow rate of the gas (L/s) upstream of the heater (i.e., at \(30^{\circ} \mathrm{C}\) and \(110 \mathrm{kPa}\) )? (b) List several assumptions made in the calculation of Part (a) that could lead to errors in the calculated flow rate.

Oxygen at \(150 \mathrm{K}\) and 41.64 atm has a tabulated specific volume of \(4.684 \mathrm{cm}^{3} / \mathrm{g}\) and a specific internal energy of 1706 J/mol. (a) The figure \(1706 \mathrm{J} / \mathrm{mol}\) is not the true internal energy of one g-mole of oxygen gas at \(150 \mathrm{K}\) and 41.64 atm. Why not? In a sentence, state the correct physical significance of that figure. (The term "reference state" should appear in your statement.) (b) Calculate the specific enthalpy of \(\mathrm{O}_{2}(\mathrm{J} / \mathrm{mol})\) at \(150 \mathrm{K}\) and \(41.64 \mathrm{atm},\) and state the physical significance of this figure. What can you say about the reference state used to calculate it?

Water is to be pumped from a lake to a ranger station on the side of a mountain (see figure). The length of pipe immersed in the lake is negligible compared to the length from the lake surface to the discharge point. The flow rate is to be \(95 \mathrm{gal} / \mathrm{min}\), and the flow channel is a standard 1-inch. Schedule 40 steel pipe (ID \(=1.049\) inch). A pump capable of delivering \(8 \mathrm{hp}\left(=\dot{W}_{\mathrm{s}}\right)\) is available. The friction loss \(\tilde{F}\left(\mathrm{ft} \cdot \mathrm{lb}_{\mathrm{f}} / \mathrm{lb}_{\mathrm{m}}\right)\) equals \(0.041 L,\) where \(L(\mathrm{ft})\) is the length of the pipe. (a) Calculate the maximum elevation, \(z\), of the ranger station above the lake if the pipe rises at an angle of \(30^{\circ}\) (b) Suppose the pipe inlet is immersed to a significantly greater depth below the surface of the lake, but it discharges at the elevation calculated in Part (a). The pressure at the pipe inlet would be greater than it was at the original immersion depth, which means that \(\Delta P\) from inlet to outlet would be greater, which in turn suggests that a smaller pump would be sufficient to move the water to the same elevation. In fact, however, a larger pump would be needed. Explain (i) why the pressure at the inlet would be greater than in Part (a), and (ii) why a larger pump would be needed.

Write and simplify the closed-system energy balance (Equation \(7.3-4\) ) for each of the following processes, and state whether nonzero heat and work terms are positive or negative. Begin by defining the system. The solution of Part (a) is given as an illustration. (a) The contents of a closed flask are heated from \(25^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\). (b) A tray filled with water at \(20^{\circ} \mathrm{C}\) is put into a freezer. The water tums into ice at \(-5^{\circ} \mathrm{C}\). (Note: When a substance expandsit does work on its surroundings and when it contracts the surroundings do work on it.) (c) A chemical reaction takes place in a closed adiabatic (perfectly insulated) rigid container. (d) Repeat Part (c), only suppose that the reactor is isothermal rather than adiabatic and that when the reaction was carried out adiabatically, the temperature in the reactor increased.

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