Asked by tesla
As the bottle is carried from 14,000 feet to 9,000 feet to 1,000 feet, it becomes compressed. What would happen if you took a normal-shaped bottle, sealed it at 1,000 feet, and then carried it up to 14,000 feet?
The bottle would collapse as the elevation increases.
The bottle would remain unchanged.
The bottle would expand and may eventually burst.
iceberg
All Answers 1
Answered by
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The bottle would expand and may eventually burst.
Why: when you seal the bottle at 1,000 ft the internal gas pressure equals the outside pressure there. As you climb to 14,000 ft the outside (ambient) pressure falls while the sealed internal pressure stays roughly the same, so the pressure inside exceeds the pressure outside and the bottle bulges outward. By the ideal gas law (assuming temperature roughly constant) V2 = V1·(P1/P2). Typical pressures: ~0.97 atm at 1,000 ft and ~0.62 atm at 14,000 ft, so the volume would increase by roughly 50–60%. Whether it simply expands, pops a cap, or bursts depends on the bottle material and construction (flexible plastic will deform, rigid glass will shatter).
Why: when you seal the bottle at 1,000 ft the internal gas pressure equals the outside pressure there. As you climb to 14,000 ft the outside (ambient) pressure falls while the sealed internal pressure stays roughly the same, so the pressure inside exceeds the pressure outside and the bottle bulges outward. By the ideal gas law (assuming temperature roughly constant) V2 = V1·(P1/P2). Typical pressures: ~0.97 atm at 1,000 ft and ~0.62 atm at 14,000 ft, so the volume would increase by roughly 50–60%. Whether it simply expands, pops a cap, or bursts depends on the bottle material and construction (flexible plastic will deform, rigid glass will shatter).
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