Pearson eText for Exercises for Weather & Climate -- Instant Access (Pearson+)
Pearson eText for Exercises for Weather & Climate -- Instant Access (Pearson+)
9th Edition
ISBN: 9780137612949
Author: Greg Carbone
Publisher: PEARSON+
Question
100%
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Chapter 1, Problem 1E
To determine

The percentage of the atmosphere above each height in Table 1-1 using the rule.

Expert Solution & Answer
Check Mark

Answer to Problem 1E

Height (km)% Above
22.46.25%
16.812.5%
11.225%
5.650%
Sea level100%

Explanation of Solution

A simple rule can be used to determine the rate at which density decreases with height. The percentage of atmosphere at sea level is 100%, and it will be halved for every 5.6km from its previous sea level.

Percentage of atmosphere at sea level=100%

The expression for calculating the percentage of atmosphere at various heights from the sea level or previous height from the sea level using the above rule is as follows:

Percentageofatmosphereataheightfromsealevel=Percentageofatmosphereatsealevel2

Substitute percentage of atmosphere at sea level as 100% to find the percentage of atmosphere at height of 5.6km from the sea level.

Percentageofatmosphereataheightof5.6kmfromsealevel=100%2=50%

To calculate the percentage of atmosphere at the remaining heights from the sea level, the percentage of atmosphere at the previous level is used, and it can be given as follows:

% ofatmosphereataheightfromsealevel=%ofatmosphereat previous height fromsealevel2

Substitute the given values of height to determine the percentage of atmosphere at that level. Then,

Percentageofatmosphereataheightof11.2kmfromsealevel=50%2=25%

Percentageofatmosphereataheightof16.8kmfromsealevel=25%2=12.5%

Percentageofatmosphereataheightof22.4kmfromsealevel=12.5%2=6.25%

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Pearson eText for Exercises for Weather & Climate -- Instant Access (Pearson+)

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