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Ch.6 - Gases
Chapter 6, Problem 91

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

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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 (KMT) describes the behavior of gases in terms of particles in constant motion. It posits that gas particles are small, have negligible volume, and experience elastic collisions. This theory helps explain gas properties such as pressure, temperature, and volume, providing a framework for understanding gas behavior under various conditions.
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Ideal Gas Behavior

Ideal gas behavior refers to the assumption that gas particles do not interact with each other and occupy no volume. This behavior is described by the Ideal Gas Law (PV=nRT), which holds true under low pressure and high temperature. However, deviations from ideal behavior occur at high pressures, where particle volume and intermolecular forces become significant.
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High Pressure Effects

Under high pressure, the assumptions of the Kinetic Molecular Theory begin to break down because gas particles are forced closer together, leading to significant intermolecular forces and a noticeable volume of the particles themselves. This results in deviations from the Ideal Gas Law, as real gases do not behave ideally under such conditions, affecting their pressure, volume, and temperature relationships.
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Related Practice
Textbook Question

A sample of N2O effuses from a container in 42 seconds. How long will it take the same amount of gaseous I2 to effuse from the same container under identical conditions?

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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

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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