Earth Science (15th Edition)
Earth Science (15th Edition)
15th Edition
ISBN: 9780134543536
Author: Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher: PEARSON
Question
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Chapter 18, Problem 1GST
To determine

The height of the barometer that is required to measure the standard sea level pressure if the barometer is built using mercury.

Expert Solution & Answer
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Answer to Problem 1GST

The height of the required barometer is 403.65 inches.

Explanation of Solution

Given info:

The density of the mercury is 13.5 times heavier than water.

Density is given as the ratio of the mass to the volume and the volume is the product of area and height.

Express the relation for density.

Density=massarea×height

Hence, the density is inversely proportional to the height (DensityHeight) .

The average sea-level pressure in the normal mercury barometer is recorded at 29.94 inches on the mercury barometer.

The expression for calculating the height of barometer with water is as follows:

Height of water barometer=Density of mercuryDensity of water×{height shown on mecury barometer to record average sea level pressure

Substitute 13.5g/cm3 for density of mercury, 1g/cm3 for density of water, and the height shown on the mercury barometer to record the average sea level pressure as 29.94 inches.

Height of water barometer=13.5g/cm31g/cm3×29.94inches=403.65inches

Conclusion:

The height of the barometer that is required to measure the standard sea level pressure if the barometer is built using mercury is 403.65inches

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