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Ch.5 - Gases
Chapter 5, Problem 92

Which postulate of the kinetic molecular theory breaks down under conditions of low temperature?

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Identify the postulates of the kinetic molecular theory. These include: 1) Gas particles are in constant, random motion. 2) The volume of the gas particles is negligible compared to the volume of the container. 3) Gas particles exert no forces on each other; they neither attract nor repel each other. 4) The average kinetic energy of gas particles is proportional to the temperature in Kelvin.
Consider the conditions of low temperature. At low temperatures, the kinetic energy of gas particles decreases.
Analyze how decreased kinetic energy affects the behavior of gas particles. With lower kinetic energy, the particles move more slowly and are more likely to experience intermolecular forces.
Determine which postulate is affected by these conditions. The postulate that gas particles exert no forces on each other breaks down because, at low temperatures, attractive forces between particles become significant.
Conclude that under low temperature conditions, the assumption that gas particles do not attract or repel each other is no longer valid, leading to deviations from ideal gas behavior.

Key Concepts

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

Kinetic Molecular Theory

The Kinetic Molecular Theory (KMT) explains the behavior of gases in terms of particles in constant motion. It posits that gas particles are in continuous, random motion and that their collisions with each other and the walls of their container are perfectly elastic. This theory helps to describe properties such as pressure, temperature, and volume in gases.
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Ideal Gas Behavior

Ideal gas behavior refers to the assumptions made in the Kinetic Molecular Theory that gases behave ideally under certain conditions, specifically at high temperatures and low pressures. Under these conditions, the volume of gas particles is negligible, and intermolecular forces are minimal. However, deviations from ideal behavior occur at low temperatures and high pressures, where interactions between particles become significant.
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Intermolecular Forces

Intermolecular forces are the attractive or repulsive forces between molecules that influence their physical properties. At low temperatures, these forces become more pronounced as the kinetic energy of the particles decreases, leading to potential condensation or solidification. This breakdown of the assumption of negligible intermolecular forces is a key limitation of the Kinetic Molecular Theory under low-temperature conditions.
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Related Practice
Textbook Question

The graph shows the distribution of molecular velocities for two different molecules (A and B) at the same temperature. Which molecule has the higher molar mass? Which molecule has the higher rate of effusion?

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Textbook Question

The graph shows the distribution of molecular velocities for the same molecule at two different temperatures (T1 and T2). Which temperature is greater? Explain.

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Textbook Question

Which postulate of the kinetic molecular theory breaks down under conditions of high pressure? Explain.

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Textbook Question

Use the van der Waals equation and the ideal gas equation to calculate the volume of 1.000 mol of neon at a pressure of 500.0 atm and a temperature of 355.0 K. Explain why the two values are different. (Hint: One way to solve the van der Waals equation for V is to use successive approximations. Use the ideal gas law to get a preliminary estimate for V.)

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Textbook Question

Use the van der Waals equation and the ideal gas equation to calculate the pressure exerted by 1.000 mol of Cl2 in a volume of 5.000 L at a temperature of 273.0 K. Explain why the two values are different.

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Textbook Question

Modern pennies are composed of zinc coated with copper. A student determines the mass of a penny to be 2.482 g and then makes several scratches in the copper coating (to expose the underlying zinc). The student puts the scratched penny in hydrochloric acid, where the following reaction occurs between the zinc and the HCl (the copper remains undissolved): Zn(s) + 2 HCl(aq)¡ H2( g) + ZnCl2(aq) The student collects the hydrogen produced over water at 25 °C. The collected gas occupies a volume of 0.899 L at a total pressure of 791 mmHg. Calculate the percent zinc (by mass) in the penny. (Assume that all the Zn in the penny dissolves.)

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