Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 22, Problem 62PQ
To determine
The disadvantages over choosing the heat reservoirs.
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The surface waters of tropical oceans are at a temperature of 27°C while water at a depth of 1200 m is at 3°C. It has been suggested these warm and cold waters could be the energy reservoirs for a heat engine, allowing us to do work or generate electricity from the thermal energy of the ocean. What is the maximum efficiency possible of such a heat engine?
Let’s say that the Carnot engine takes 100 J of heat from a reservoir at 500 K, does some work, and discards some heat at a reservoir at 300 K. How much work does it do, how much heat is discarded, and what is its efficiency?
As we drill down the rocks of earths crust, the temperature typically increases by 3°C for every 100 m of depth. Oil wells can be drilled to depth of 1830 m. If water is pumped into the shaft of the well it will be heated by the hot rock at the bottom and the resulting steam can be used as a heat engine. Assume that the surface temperature is 20°C
A) using such a 1830 m well as a heat engine, what is the maximum efficiency possible?
B) if a combination of such wells is to produce a 2.5×10^6 W power plant, how much energy will it absorb from the interior of earth each day?
Chapter 22 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 22.2 - Prob. 22.1CECh. 22.4 - Prob. 22.2CECh. 22.5 - Prob. 22.3CECh. 22.7 - You have considerable intuition about whether some...Ch. 22.9 - Prob. 22.5CECh. 22 - Prob. 1PQCh. 22 - Heat Engines Figure P22.2 shows a Carnot cycle....Ch. 22 - Use a PV diagram such as the one in Figure 22.2...Ch. 22 - Prob. 4PQCh. 22 - Prob. 5PQ
Ch. 22 - Prob. 6PQCh. 22 - An engine with an efficiency of 0.36 can supply a...Ch. 22 - Prob. 8PQCh. 22 - Prob. 9PQCh. 22 - Prob. 10PQCh. 22 - Prob. 11PQCh. 22 - Prob. 12PQCh. 22 - Prob. 13PQCh. 22 - Prob. 14PQCh. 22 - Prob. 15PQCh. 22 - Prob. 16PQCh. 22 - Prob. 17PQCh. 22 - Prob. 18PQCh. 22 - Prob. 19PQCh. 22 - Prob. 20PQCh. 22 - Prob. 21PQCh. 22 - In 1816, Robert Stirling, a Scottish minister,...Ch. 22 - Prob. 23PQCh. 22 - Prob. 24PQCh. 22 - Prob. 25PQCh. 22 - Prob. 26PQCh. 22 - Prob. 27PQCh. 22 - Prob. 28PQCh. 22 - Prob. 29PQCh. 22 - Prob. 30PQCh. 22 - Prob. 31PQCh. 22 - Prob. 32PQCh. 22 - Prob. 33PQCh. 22 - Prob. 34PQCh. 22 - Prob. 35PQCh. 22 - Estimate the change in entropy of the Universe if...Ch. 22 - Prob. 37PQCh. 22 - Prob. 38PQCh. 22 - Prob. 39PQCh. 22 - Prob. 40PQCh. 22 - Prob. 41PQCh. 22 - Prob. 42PQCh. 22 - Prob. 43PQCh. 22 - Prob. 44PQCh. 22 - Prob. 45PQCh. 22 - Prob. 46PQCh. 22 - Prob. 47PQCh. 22 - Prob. 48PQCh. 22 - Prob. 49PQCh. 22 - Prob. 50PQCh. 22 - Prob. 51PQCh. 22 - Prob. 52PQCh. 22 - Prob. 53PQCh. 22 - Prob. 54PQCh. 22 - Prob. 55PQCh. 22 - Prob. 56PQCh. 22 - What is the entropy of a freshly shuffled deck of...Ch. 22 - Prob. 58PQCh. 22 - Prob. 59PQCh. 22 - Prob. 60PQCh. 22 - Prob. 61PQCh. 22 - Prob. 62PQCh. 22 - Prob. 63PQCh. 22 - Prob. 64PQCh. 22 - Prob. 65PQCh. 22 - Prob. 66PQCh. 22 - Prob. 67PQCh. 22 - Prob. 68PQCh. 22 - Prob. 69PQCh. 22 - Prob. 70PQCh. 22 - A system consisting of 10.0 g of water at a...Ch. 22 - Prob. 72PQCh. 22 - Figure P22.73 illustrates the cycle ABCA for a...Ch. 22 - Prob. 74PQCh. 22 - Prob. 75PQCh. 22 - Prob. 76PQCh. 22 - Prob. 77PQCh. 22 - Prob. 78PQCh. 22 - Prob. 79PQCh. 22 - Prob. 80PQCh. 22 - Prob. 81PQ
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) On a winter day, a certain house loses 5.00108J of heat to the outside (about 500,000 Btu). What is the total change in entropy due to this heat transfer alone, assuming an average indoor temperature of 21.0C and an average outdoor temperature of 5.00C ? (b) This large change in entropy implies a large amount of energy has become unavailable to do work. Where do we find more energy when such energy is lost to us?arrow_forwardConsider these scenarios and state whether work is done by the system on the environment (SE) or by the environment on the system (ES): (a) opening a carbonated beverage; (b) filling a flat tire; (c) a sealed empty gas can expands on a hot day, bowing out the walls.arrow_forwardConsider a car trip into the mountains. Construct a problem in which you calculate the overall efficiency of the car for the trip as a ratio of kinetic and potential energy gained to fuel consumed. Compare this efficiency to the thermodynamic efficiency quoted for gasoline engines and discuss why thethermodynamic efficiency is so much greater. Among the factors to be considered are the gain in altitude and speed, the mass of the car, the distance traveled, and typical fuel economy.arrow_forward
- A typical temperature for surface water in a tropical ocean is 27°C. Whereas at a depth of a kilometer or more it is only about 27°C whereas at a depth of a kilometer or more it is only about 5°C. It has been proposed to operate heat engines using surface water as the hot reservoir and deep water as the cold reservoir. What would the maximum efficiency of such an engine be? Why might such engine eventually be practical proposition even with so low an efficiency?arrow_forwardWe drop 2.0 kg of lead with a temperature of 100 °C into a lake with a temperature of 10 °C. For how much does the entropy of the lead, lake and the universe change?arrow_forwardIceland has both high geothermal activity, with high temperatures near the surface, and abundant cold surface water. Iceland has many power plants that take advantage of the proximity of these natural hot and cold reservoirs. One plant uses an underground source at 122°C as the hot reservoir and a nearby lake at 5°C as the cold reservoir. The plant draws 16 MW from the hot reservoir to produce 1.8 MW of electricity. How does the actual efficiency ofthe plant compare to the theoretical maximum efficiency?arrow_forward
- Iceland has both high geothermal activity, with high temperatures near the surface, and abundant cold surface water. Iceland has many power plants that take advantage of the proximity of these natural hot and cold reservoirs. One plant uses an underground source at 122°C as the hot reservoir and a nearby lake at 5°C as the cold reservoir. The plant draws 16 MW from the hot reservoir to produce 1.8 MW of electricity. How does the actual efficiency of the plant compare to the theoretical maximum efficiency?arrow_forwardYou are hired to build a geothermal power plant that absorbs heat from a hot water spring and discards heat into the surrounding air, which is at a temperature of 17°. The plant is designed for a maximum (Carnot) efficiency of 0.21. What is the temperature, in degrees Celsius, of the hot water gushing from the spring? If the rate of energy supplied to the plant by the hot-water source is 4.6 kW, what is the plant’s maximum rate of power output, in kilowatts?arrow_forward4. A typical coal-fired power plant operates with a high-temperature reservoir at Th = 800 K and a low-temperature reservoir at Tc = 300 K. What is the maximum efficiency allowed by the 2nd law of thermodynamics (the Carnot efficiency) for a heat engine operating between these temperatures? Give your answer as a decimal number, not as a percentage. (This isn't in section 4.2, so you might want to also take a quick look at equation 4.5 in section 4.5 of the textbook, or at the introductory material in this week's lab write-up.)arrow_forward
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