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Solved: Imagine a giant dry-cleaners bag full of air at a

Chapter 10, Problem 38TAS

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QUESTION:

Imagine a giant dry-cleaner’s bag full of air at a temperature of \(-35^{\circ} \mathrm{C}\) floating like a balloon with a string hanging from it 10 km above the ground. Estimate what its temperature would be if you were able to yank it suddenly back to Earth’s surface.

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QUESTION:

Imagine a giant dry-cleaner’s bag full of air at a temperature of \(-35^{\circ} \mathrm{C}\) floating like a balloon with a string hanging from it 10 km above the ground. Estimate what its temperature would be if you were able to yank it suddenly back to Earth’s surface.

ANSWER:

Step 1 of 2

The adiabatic compression would heat the confined air by about  for every kilometer decrease in elevation.

Given the bag is floating like a balloon at a distance  from the ground,  we can calculate its heating if it pulled down suddenly back to the Earth's surface.

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