The mass of a hot-air balloon and its occupants is 358 kg (excluding the hot air inside the balloon). The air outside the balloon has a pressure of 1.01 x 105 Pa and a density of 1.29 kg/m³. To lift off, the air inside the balloon is heated. The volume of the heated balloon is 898 m³. The pressure of the heated air remains the same as that of the outside air. To what temperature in kelvins must the air be heated so that the balloon just lifts off? The molecular mass of air is 29 u. Buoyant force Weight

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
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The mass of a hot-air balloon and its occupants is 358 kg (excluding the hot air inside the balloon). The air outside the balloon has a
pressure of 1.01 x 105 Pa and a density of 1.29 kg/m³. To lift off, the air inside the balloon is heated. The volume of the heated balloon is
898 m³. The pressure of the heated air remains the same as that of the outside air. To what temperature in kelvins must the air be
heated so that the balloon just lifts off? The molecular mass of air is 29 u.
Number i
Units
Buoyant
force
Weight
Transcribed Image Text:The mass of a hot-air balloon and its occupants is 358 kg (excluding the hot air inside the balloon). The air outside the balloon has a pressure of 1.01 x 105 Pa and a density of 1.29 kg/m³. To lift off, the air inside the balloon is heated. The volume of the heated balloon is 898 m³. The pressure of the heated air remains the same as that of the outside air. To what temperature in kelvins must the air be heated so that the balloon just lifts off? The molecular mass of air is 29 u. Number i Units Buoyant force Weight
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