Its possible to use the ideal gas law to show that the density of the earths atmosphere decreases exponentially with height That is, 0 exp( z z 0 ), where z is the height above sea level, 0 is the density at sea level (you can use the Table 14 1 value), and z 0 is called the scale height of the atmosphere Table 14 1 Substance (kg m 3 ) Helium gas 0 18 Air 1 29 Gasoline 680 Ethyl alcohol 790 Benzene 880 Oil (typical) 900 Water 1000 Seawater 1030 Glycerin 1260 Mercury 13,600 a Determine the value of z 0 b What is the density of the air in Denver, at an elevation of 1600 m What percent of sea level density is this

Question: Its possible to use the ideal-gas law to show that the density of the earths atmosphere decreases exponentially with height. That is, =

It’s possible to use the ideal-gas law to show that the density of the earth’s atmosphere decreases exponentially with height. That is, ρ = ρ₀ exp(-z/z₀), where z is the height above sea level, ρ₀ is the density at sea level (you can use the Table 14.1 value), and z₀is called the scale height of the atmosphere.

Table 14.1

Substance…………..ρ(kg/m³)

Helium gas…………...…...…..0.18

Air …………………………………1.29

Gasoline ………………….…….680

Ethyl alcohol ………....……..790

Benzene ……………………….880

Oil (typical) ………………...….900

Water …………………….…..1000

Seawater ……………….…...1030

Glycerin ………………….....1260

Mercury ………………......13,600

a. Determine the value of z₀.
b. What is the density of the air in Denver, at an elevation of 1600 m? What percent of sea-level density is this?

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