A light balloon is filled with 397 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) p(kg/m3) Substance 0.917 X 10 7.86 X 10 Air 1.29 Ice Aluminum 2.70 X 10 Iron Benzene 0.879 X 103 Lead 11.3 X 10 Copper 8.92 X 103 Mercury 13.6 X 103 Ethyl alcohol Fresh water 0.806 X 10% Oak 0.710 X 10 1.00 X 10 Oxygen gas 1.43 Glycerin 1.26 X 103 Pine 0.373 X 103 19.3 X 10 1.79 X 10-1 21.4 X 10 1.03 X 10 10.5 X 103 Gold Platinum Helium gas Seawater Hydrogen gas 8.99 X 10-2 Silver

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Fluid Mechanics
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Problem 29P: How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of...
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A light balloon is filled with 397 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)
p(kg/m3)
Substance
0.917 X 10
7.86 X 10
Air
1.29
Ice
Aluminum
2.70 X 10
Iron
Benzene
0.879 X 103
Lead
11.3 X 10
Copper
8.92 X 103
Mercury
13.6 X 103
Ethyl alcohol
Fresh water
0.806 X 10%
Oak
0.710 X 10
1.00 X 10
Oxygen gas
1.43
Glycerin
1.26 X 103
Pine
0.373 X 103
19.3 X 10
1.79 X 10-1
21.4 X 10
1.03 X 10
10.5 X 103
Gold
Platinum
Helium gas
Seawater
Hydrogen gas
8.99 X 10-2
Silver
Transcribed Image Text:A light balloon is filled with 397 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) p(kg/m3) Substance 0.917 X 10 7.86 X 10 Air 1.29 Ice Aluminum 2.70 X 10 Iron Benzene 0.879 X 103 Lead 11.3 X 10 Copper 8.92 X 103 Mercury 13.6 X 103 Ethyl alcohol Fresh water 0.806 X 10% Oak 0.710 X 10 1.00 X 10 Oxygen gas 1.43 Glycerin 1.26 X 103 Pine 0.373 X 103 19.3 X 10 1.79 X 10-1 21.4 X 10 1.03 X 10 10.5 X 103 Gold Platinum Helium gas Seawater Hydrogen gas 8.99 X 10-2 Silver
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