Natural gas is a mixture of hydrocarbons, primarily methane (CH4) and ethane (C2H6). A typical mixture might have Xmethane = 0.915 and Xethane = 0.085. Let's assume that we have a 15.50 g sample of natural gas in a volume of 15.00 L at a temperature of 20.00 °C. (c) What is the partial pressure of each component in the sample in atmospheres?
Ch.10 - Gases: Their Properties & Behavior
Chapter 10, Problem 92
What are the basic assumptions of the kinetic–molecular theory?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Kinetic-Molecular Theory
The kinetic-molecular theory explains the behavior of gases based on the idea that gas particles are in constant, random motion. It posits that the temperature of a gas is directly related to the average kinetic energy of its particles, which helps to describe how gases expand, compress, and exert pressure.
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Assumptions of Ideal Gases
The kinetic-molecular theory is built on several key assumptions about ideal gases: gas particles are considered to have negligible volume, they do not attract or repel each other, and they collide elastically, meaning that energy is conserved in collisions. These assumptions simplify the complex interactions in real gases, allowing for easier calculations and predictions.
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Ideal Gas Law Formula
Pressure and Temperature Relationship
According to the kinetic-molecular theory, pressure is a result of collisions between gas particles and the walls of their container. As temperature increases, the kinetic energy of the particles increases, leading to more frequent and forceful collisions, which in turn raises the pressure. This relationship is fundamental in understanding gas behavior under varying conditions.
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Related Practice
Textbook Question
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Textbook Question
Gaseous compound Q contains only xenon and oxygen. When 0.100 g of Q is placed in a 50.0-mL steel vessel at 0 °C the pressure is 0.229 atm. (a) What is the molar mass of Q, and what is a likely formula?
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Textbook Question
Gaseous compound Q contains only xenon and oxygen. When 0.100 g of Q is placed in a 50.0-mL steel vessel at 0 °C the pressure is 0.229 atm. (b) When the vessel and its contents are warmed to 100 °C, Q decomposes into its constituent elements. What is the total pressure, and what are the partial pressures of xenon and oxygen in the container?
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Textbook Question
What is the difference between heat and temperature?
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Textbook Question
The average temperature at an altitude of 20 km is 220 K. What
is the average speed in m/s of an N2 molecule at this altitude?
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Textbook Question
Calculate the average speed of a nitrogen molecule in m/s
on a hot day in summer 1T = 37 °C2 and on a cold day in
winter 1T = -25 °C2.
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