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Ch.10 - Gases: Their Properties & Behavior
Chapter 10, Problem 118

The troposphere contains about three quarters of the mass of the entire atmosphere. The troposphere is only 12 km thick while the whole atmosphere is about 120 km thick. Explain why the troposphere contains such a large fraction of the total mass.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Atmospheric Composition

The atmosphere is composed of various gases, primarily nitrogen (78%) and oxygen (21%), with trace amounts of other gases. The distribution of these gases is not uniform; most of the mass is concentrated in the lower layers, particularly the troposphere, due to gravitational forces that hold denser gases closer to the Earth's surface.
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Pressure and Density

Atmospheric pressure decreases with altitude, leading to a corresponding decrease in gas density. In the troposphere, the pressure is highest, resulting in greater density and, consequently, a larger mass of air. This phenomenon explains why the troposphere, despite its relatively small thickness, contains a significant portion of the atmosphere's total mass.
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Temperature Gradient

The troposphere experiences a temperature decrease with altitude, which affects the behavior of air molecules. Warmer air at lower altitudes is less dense and can hold more moisture, contributing to the mass of the troposphere. This temperature gradient helps maintain a stable layer of air that retains most of the atmosphere's mass.
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Related Practice
Textbook Question
The reaction NO1g2 + NO21g2 ∆ N2O31g2 takes place in the atmosphere with Kc = 13 at 298 K. A gas mixture is prepared with 2.0 mol NO and 3.0 mol NO2 and an initial total pressure of 1.65 atm. (b) What is the volume of the container?
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Textbook Question
Name the regions of the atmosphere. What property is used to distinguish between different regions of the atmosphere?
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Textbook Question
The Earth's atmosphere has a mass of approximately 5.15 * 1015 kg. If the average molar mass of air is 28.8 g/mol, how many moles of gas make up the atmosphere? What is the volume of the atmosphere in liters under conditions of STP? (Note: The average molar mass of air is the weighted average of the molar mass of nitrogen and oxygen. 0.20132.0 g>mol2 + 0.80128.0 g>mol2 = 28.8 g>mol.)
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Textbook Question
The percent by volume of oxygen (20.95%) is constant throughout the troposphere. (a) Express this percentage as a mole fraction.
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Textbook Question
A driver with a nearly empty fuel tank may say she is 'running on fumes.' If a 15.0-gallon automobile gas tank had only gasoline vapor remaining in it, what is the farthest the vehicle could travel if it gets 20.0 miles per gallon on liquid gasoline? Assume the average molar mass of molecules in gasoline is 105 g/mol, the density of liquid gasoline is 0.75 g/mL, the pressure is 743 mm Hg, and the temperature is 25 °C.
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Textbook Question

Pakistan's K2 is the world's second-tallest mountain, with an altitude of 28,251 ft. Its base camp, where climbers stop to acclimate, is located about 16,400 ft above sea level. (a) Approximate atmospheric pressure P at different altitudes is given by the equation P = e-h/7000, where P is in atmospheres and h is the altitude in meters. What is the approximate atmospheric pressure in mm Hg at K2 base camp?

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