# WCP%205 - causing the balloon to enter a state of free...

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ATMS 120A/ESES 120A Fall Semester 2009 Name: _____________________________ Weekly Challenge Problem #5: Atmospheric Stability Due: Tues. Oct. 13, 2009 (Same as textbook problem 6.1, page 124) You are taking a hot-air balloon ride on a clear, calm October evening. The environmental lapse rate is 5 ° C/km. As the balloon rises, you compare the temperature inside the balloon (via digital readout) with the reading of a thermometer you hold in the passenger basket. After a few bursts of flame at an altitude of 1 km, the temperature inside the balloon is 68 ° F (20 ° C), and the temperature in the basket is 32 ° F (0 ° C). All of the balloon’s controls, including the ballast control, then fail and become inoperative,
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Unformatted text preview: causing the balloon to enter a state of free drift. Assuming that the balloon’s expandable skin does not conduct any heat, what is the maximum altitude you can reach before the balloon stops rising? Hints: The maximum altitude would be reached if the balloon’s skin, basket and passengers had negligible weight. The balloon will rise until it is no longer warmer than its surrounding environment. The balloon may be regarded as a dry (unsaturated) air parcel. Hence its cooling rate during ascent is the same as that of a dry air parcel....
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## This note was uploaded on 12/28/2009 for the course ATMOS 120 taught by Professor Charlevoix-romine during the Fall '08 term at University of Illinois, Urbana Champaign.

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