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Chapter 1: Q9DQ (page 389)

A rigid, lighter-than-air dirigible filled with helium cannot continue to rise indefinitely. Why? What determines the maximum height it can attain?

Short Answer

Expert verified

The point at which the density of atmosphere and helium is equal, is the maximum height attain by dirigible.

Step by step solution

01

Understanding the density

In this problem, to determine the maximum height attained by the dirigible, compare the densities of atmosphere as well as helium gas filled in it.

02

Determining the maximum height of dirigible

The maximum height reached by the rigid lighter-than-air dirigible filled with helium is the point where the density of the atmosphere and density of helium present in it is equivalent. Also, at this position, the volume of air (weight) released by the dirigible is approximately equal to its own weight. Therefore, there will be no upward force because buoyant force will eliminate its weight.

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