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Multiple Choice
Which of the following statements about the atmosphere is true according to the Ideal Gas Law?
A
The density of the atmosphere is constant at all altitudes.
B
The pressure of the atmosphere increases with altitude.
C
The volume of a gas is directly proportional to its temperature at constant pressure.
D
The pressure of the atmosphere is independent of temperature.
Verified step by step guidance
1
Identify the Ideal Gas Law equation: \( PV = nRT \), where \( P \) is pressure, \( V \) is volume, \( n \) is the number of moles, \( R \) is the ideal gas constant, and \( T \) is temperature.
Understand that according to the Ideal Gas Law, if the pressure \( P \) is constant, the volume \( V \) of a gas is directly proportional to its temperature \( T \). This is expressed as \( V \propto T \) when \( P \) is constant.
Evaluate the given statements: The statement 'The volume of a gas is directly proportional to its temperature at constant pressure' aligns with the Ideal Gas Law, as it describes the relationship between volume and temperature when pressure is held constant.
Consider the other statements: 'The density of the atmosphere is constant at all altitudes' is incorrect because atmospheric density decreases with altitude. 'The pressure of the atmosphere increases with altitude' is incorrect because atmospheric pressure decreases with altitude. 'The pressure of the atmosphere is independent of temperature' is incorrect because pressure can change with temperature according to the Ideal Gas Law.
Conclude that the correct statement according to the Ideal Gas Law is: 'The volume of a gas is directly proportional to its temperature at constant pressure.'