The Earth's atmosphere reaches hundreds of kilometers above the surface of the planet. The lowest layer, the troposphere, extends from the ground to a height of
approximately 12 km. Air pressure within the troposphere decreases with height above the ground, accompanied by a parallel trend in air density. The decrease in
density has important consequences for the dissipation of air pollution from industrial smoke stacks. The gas from the stack is typically hotter and less dense than
the surrounding air and rises. As a parcel of hot air rises, it expands approximately adiabatically doing work on the surrounding air. This results in a decrease in
both its temperature and its density.
Figure 1
A smoke stack functions to expel gaseous waste products from a chemical process. It is also an important means of removing heat from a reaction mixture. The
heat corresponding to a change in temperature of a gas at constant pressure is given by , where is the heat added to the
gas, n is the number of moles of gas, is the molar heat capacity of a particular gas at constant
pressure, and T is the change in temperature. At atmospheric pressure, the molar heat capacity for steam, O (g) is approximately four times that of air.
A combustion engine in a production plant is surrounded by pipes carrying water that function to cool the engine. The water is converted to steam and flows
through a long vertical pipe to be released into the atmosphere. Heat is transferred from the engine to the atmosphere by the following means:
The Earth's atmosphere reaches hundreds of kilometers above the surface of the planet. The lowest layer, the troposphere, extends from the ground to a height of
approximately 12 km. Air pressure within the troposphere decreases with height above the ground, accompanied by a parallel trend in air density. The decrease in
density has important consequences for the dissipation of air pollution from industrial smoke stacks. The gas from the stack is typically hotter and less dense than
the surrounding air and rises. As a parcel of hot air rises, it expands approximately adiabatically doing work on the surrounding air. This results in a decrease in
both its temperature and its density.
Figure 1
A smoke stack functions to expel gaseous waste products from a chemical process. It is also an important means of removing heat from a reaction mixture. The
heat corresponding to a change in temperature of a gas at constant pressure is given by , where is the heat added to the
gas, n is the number of moles of gas, is the molar heat capacity of a particular gas at constant
pressure, and T is the change in temperature. At atmospheric pressure, the molar heat capacity for steam, O (g) is approximately four times that of air.
At constant pressure, the ratio between the volume expansion of a mole of gas with a high to that of
a mole of gas with a low for a given heat input will be:
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10
A student conducts a chemical analysis of the components of a popular soft drink. The beverage label shows that the drink contains carbonated water, phosphoric
acid, caffeine, and caramel color, but does not indicate the concentrations of these chemicals.
Dissolved carbon dioxide will react reversibly with water to form carbonic acid. In an attempt to analyze the beverage composition, the student conducts the
following experiments on a one liter sample of the beverage.
Experiment 1
The sample is placed in a sealed beaker cooled to 10