Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 14, Problem 35AP
To determine
To determine: The order of magnitude of helium gas filled in the balloon required to lift the person.
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Invalid path. A light balloon is filled with 383 m3 of helium at atmospheric pressure.
(a) At 0°C, the balloon can lift a payload of what mass?
kg
(b) In the table below, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen?
kg
Densities of Some Common Substances at Standard
Temperature (0°C) and Pressure (Atmospheric)
p(kg/m3)
p(kg/m3)
Substance
Substance
Air
1.29
Ice
0.917 X 103
7.86 X 103
11.3 X 10
13.6 X 10
Aluminum
2.70 X 103
Iron
Benzene
0.879 X 103
Lead
8.92 X 103
Mercury
Copper
Ethyl alcohol
0.806 X 105
Oak
0.710 X 103
Fresh water
1.00 X 103
Oxygen gas
Pine
1.43
Glycerin
1.26 X 103
0.373 X 103
Gold
19.3 X 10
Platinum
21.4 X 10
1.03 X 10
10.5 X 10
Helium gas
1.79 X 10-1
Seawater
Hydrogen gas
8.99 X 10-2
Silver
Question: Lets think about the pressure difference for bubbles in soda. If the bubble has a radius of
1 um and a surface tension of 0.072 N/m what is the pressure difference between the bubble and the
soda? Give your answer in 3 significant figures.
Solution: The pressure difference is
Pa
A light balloon is filled with 402 m3 of helium at atmospheric pressure.
(a) At 0°C, the balloon can lift a payload of what mass?
kg
(b) In the table below, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen?
kg
Densities of Some Common Substances at Standard
Temperature (0°C) and Pressure (Atmospheric)
Substance
p(kg/m³)
Substance
p(kg/m³)
Air
1.29
Ice
0.917 X 103
Aluminum
2.70 X 103
Iron
7.86 X 103
Benzene
0.879 X 103
Lead
11.3 X 10
8.92 X 10
0.806 X 103
Copper
Mercury
13.6 X 103
Ethyl alcohol
Oak
0.710 X 10
Fresh water
1.00 X 103
Oxygen gas
1.43
Glycerin
1.26 X 103
Pine
0.373 X 103
Gold
19.3 X 103
Platinum
21.4 X 103
Helium gas
1.79 X 10-1
Seawater
1.03 X 103
Hydrogen gas
8.99 X 10-2
Silver
10.5 X 103
Chapter 14 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 14.1 - Suppose you are standing directly behind someone...Ch. 14.2 - The pressure at the bottom of a filled glass of...Ch. 14.3 - Several common barometers are built, with a...Ch. 14.4 - You are shipwrecked and floating in the middle of...Ch. 14.6 - You observe two helium balloons floating next to...Ch. 14 - A large man sits on a four-legged chair with his...Ch. 14 - Prob. 2PCh. 14 - Estimate the total mass of the Earths atmosphere....Ch. 14 - Prob. 4PCh. 14 - Prob. 5P
Ch. 14 - Prob. 6PCh. 14 - Review. A solid sphere of brass (bulk modulus of...Ch. 14 - The human brain and spinal cord are immersed in...Ch. 14 - Blaise Pascal duplicated Torricellis barometer...Ch. 14 - Prob. 10PCh. 14 - Prob. 11PCh. 14 - A 10.0-kg block of metal measuring 12.0 cm by 10.0...Ch. 14 - A plastic sphere floats in water with 50.0% of its...Ch. 14 - The weight of a rectangular block of low-density...Ch. 14 - A wooden block of volume 5.24 104 m3 floats in...Ch. 14 - A hydrometer is an instrument used to determine...Ch. 14 - Prob. 17PCh. 14 - Prob. 18PCh. 14 - Prob. 19PCh. 14 - Water flowing through a garden hose of diameter...Ch. 14 - Water falls over a dam of height h with a mass...Ch. 14 - A legendary Dutch boy saved Holland by plugging a...Ch. 14 - Water is pumped up from the Colorado River to...Ch. 14 - Prob. 24PCh. 14 - Review. Old Faithful Geyser in Yellowstone...Ch. 14 - You are working as an expert witness for the owner...Ch. 14 - A thin 1.50-mm coating of glycerin has been placed...Ch. 14 - A hypodermic needle is 3.00 cm in length and 0.300...Ch. 14 - What radius needle should be used to inject a...Ch. 14 - An airplane has a mass of 1.60 104 kg, and each...Ch. 14 - Prob. 31PCh. 14 - Decades ago, it was thought that huge herbivorous...Ch. 14 - Prob. 33APCh. 14 - The true weight of an object can be measured in a...Ch. 14 - Prob. 35APCh. 14 - Review. Assume a certain liquid, with density 1...Ch. 14 - Evangelista Torricelli was the first person to...Ch. 14 - A common parameter that can be used to predict...Ch. 14 - In 1983, the United States began coining the...Ch. 14 - Review. With reference to the dam studied in...Ch. 14 - The spirit-in-glass thermometer, invented in...Ch. 14 - A woman is draining her fish tank by siphoning the...Ch. 14 - Prob. 43APCh. 14 - Prob. 44APCh. 14 - Prob. 45APCh. 14 - Review. In a water pistol, a piston drives water...Ch. 14 - Prob. 47APCh. 14 - Prob. 48APCh. 14 - Prob. 49CPCh. 14 - Prob. 50CP
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