Thinking Like an Engineer
4th Edition
ISBN: 9781269910989
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: Pearson Learning Solutions
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Textbook Question
Chapter 12, Problem 13RQ
- 13. It is difficult to bring the Internet to some remote parts of the world. This can be inexpensively done by installing antennas tethered to large helium balloons. To help analyze the situation, assume we have inflated a large spherical balloon. The pressure on the inside of the balloon is balanced by the elastic force exerted by the rubberized material. Since we are dealing with a gas in an enclosed space, the ideal gas law will be applicable.
PV=nRT
Where
P = pressure [atm]
V = volume [L]
n = quant ity of gas [moles]
R = ideal gas constant [0.08206 (atm L)/ (mol K)]
T = temperature [K]
If the temperature increases, the balloon will expand and/or the pressure will increase to maintain the equality. As it turns out, the increase in volume is the dominant effect, so we will treat the change in pressure as negligible.
The circumference of an inflated spherical balloon is measured at various temperatures; the resulting data are shown in the following graph.
- a. What are the units of the constant 0.33?
- b. What are the units of the constant 23.6?
- c. What would the temperature of the balloon be if the circumference was 162 centimeters?
- d. If a circle with an area of 100 square centimeters is drawn on the balloon at 20 degrees Celsius, what would the area be at a temperature of 100 degrees Celsius?
- e. If the pressure inside the balloon is 1.2 atmospheres, how many moles of gas does it contain?
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Chapter 12 Solutions
Thinking Like an Engineer
Ch. 12.1 - Prob. 1CCCh. 12.2 - Fluid A as a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - You have three springs, with stiffness 1,2 and 3...Ch. 12.2 - You have three resistors with resistance 2,2, and...Ch. 12.2 - You have four 60-nanofarad [nF] capacitors. Using...Ch. 12.2 - You have three 120 millihenry [mH] inductors. Can...Ch. 12.3 - The graph shows the ideal gas law relationship...Ch. 12.3 - The preceding graph shows the ideal gas Jaw...
Ch. 12.4 - The decay of a radioactive isotope was tracked...Ch. 12 - Prob. 1ICACh. 12 - Prob. 2ICACh. 12 - Prob. 3ICACh. 12 - Mercury has a dynamic viscosity of 1.55...Ch. 12 - Prob. 5ICACh. 12 - Prob. 6ICACh. 12 - Prob. 7ICACh. 12 - Four springs were tested, with the results shown...Ch. 12 - Four circuits were tested, with the results shown...Ch. 12 - Assume you have an unlimited number of inductors...Ch. 12 - a. The equivalent capacitance of the circuit shown...Ch. 12 - A standard guitar, whether acoustic or electric,...Ch. 12 - The vibrating frequency of a guitar string depends...Ch. 12 - Solid objects, such as your desk or a rod of...Ch. 12 - Eutrophication is a process whereby lakes,...Ch. 12 - The following graph shows the relationship between...Ch. 12 - The total quantity (mass) of a radioactive...Ch. 12 - Match the data series from the options shown on...Ch. 12 - 1. For a simple capacitor with two flat plates,...Ch. 12 - 2. When we wish to generate hydroelectric power,...Ch. 12 - 3. When rain falls over an area for a sufficiently...Ch. 12 - You are experimenting with several liquid metal...Ch. 12 - 5. The resistance of a wire (R [ohm)) is a...Ch. 12 - 6. Use the figure shown to answer the following...Ch. 12 - 7. You are given four springs, one each of 2.5, 5,...Ch. 12 - You have three springs. You conduct several tests...Ch. 12 - 9. You are given four resistors, each of 7.5, 10,...Ch. 12 - 10. You have three resistors. You conduct several...Ch. 12 - 11. Use the diagrams shown to answer the following...Ch. 12 - 12. When a buoyant cylinder of height H, such as a...Ch. 12 - 13. It is difficult to bring the Internet to some...Ch. 12 - 14. The data shown in the following graph was...Ch. 12 - 15 A standard guitar, whether acoustic or...Ch. 12 - 16. Your supervisor has assigned you the task of...Ch. 12 - 17. One of the NAE Grand Challenges for...Ch. 12 - 18. When volunteers build a Habitat for Humanity...Ch. 12 - 1. As part of an electronic music synthesizer, you...Ch. 12 - Prob. 20RQ
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