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Ch.10 - Gases: Their Properties & Behavior
Chapter 10, Problem 13

Identify the true statement about deviations from ideal gas behavior. (LO 10.12) (a) The attractive forces between gas particles cause the true volume of the sample to be larger than predicted by the ideal gas law. (b) The attractive forces between gas particles most influence the volume of a sample at low pressure. (c) The volume of the gas particles themselves most influences the volume of the sample at low pressure. (d) The volume of the gas particles themselves causes the true volume of the sample to be larger than predicted by the ideal gas law.

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1
Understand the concept of ideal gas law, which assumes that gas particles have no volume and no intermolecular forces. This law is PV = nRT, where P is pressure, V is volume, n is moles of gas, R is the gas constant, and T is temperature.
Recognize that real gases deviate from ideal behavior due to the volume of gas particles and intermolecular forces. These deviations become significant at high pressures and low temperatures.
Analyze statement (a): Consider if attractive forces between particles would cause the actual volume to be larger or smaller. Attractive forces tend to pull particles closer, reducing the volume compared to ideal conditions.
Analyze statement (d): Reflect on how the finite volume of gas particles affects the total volume of the gas. The volume occupied by the particles themselves would make the actual volume larger than what is predicted by the ideal gas law, which assumes particles have no volume.
Evaluate statements (b) and (c) by considering the impact of pressure on the behavior of gas particles. At low pressures, the volume of the gas particles themselves (not the attractive forces) is more likely to influence the total volume of the gas.

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Key Concepts

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

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as 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. This law assumes that gas particles do not interact and occupy no volume, which is not true for real gases under certain conditions.
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Deviations from Ideal Behavior

Real gases deviate from ideal behavior due to intermolecular forces and the finite volume of gas particles. At high pressures and low temperatures, these deviations become significant as attractive forces between particles can lead to lower pressure than predicted, and the volume occupied by the gas particles themselves becomes non-negligible. Understanding these deviations is crucial for accurately predicting gas behavior in real-world applications.
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Influence of Pressure and Volume

At low pressures, gas particles are far apart, and the volume of the gas is primarily determined by the space between them rather than the volume of the particles themselves. However, as pressure increases, the volume occupied by the gas particles becomes more significant, and attractive forces between particles can lead to a reduction in the volume of the gas compared to what the Ideal Gas Law predicts. This relationship is essential for understanding how gases behave under varying conditions.
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Related Practice
Textbook Question

Two identical 732.0-L tanks each contain 212.0 g of gas at 293 K, with neon in one tank and nitrogen in the other. Based on the assumptions of kinetic–molecular theory, rank the gases from low to high for each of the following properties.

(a) Average speed

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Textbook Question
The coldest temperature recorded at ground level on Earth was -89.2 °C at the Vostok Station in Antarctica. What is the speed of a nitrogen molecule at this temperature? (LO 10.9)(a) 933 m/s (b) 40.2 m/s(c) 404 m/s (d) 12.8 m/s
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Textbook Question
An unknown gas is found to diffuse through a porous membrane 2.92 times more slowly than H2. What is the molecular weight of the gas? (a) 17.0 g/mol (b) 5.84 g/mol (c) 8.52 g/mol
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Textbook Question
A glass tube has one end in a dish of mercury and the otherend closed by a stopcock. The distance from the surface ofthe mercury to the bottom of the stopcock is 850 mm. Theapparatus is at 25 °C, and the mercury level in the tube isthe same as that in the dish.

(a) Show on drawing (1) what the approximate level ofmercury in the tube will be when the temperature of theentire apparatus is lowered from +25 °C to -25 °C.
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Textbook Question

Assume that you have a sample of gas in a cylinder with a movable piston, as shown in the following drawing:

Redraw the apparatus to show what the sample will look like after (a) the temperature is increased from 300 K to 450 K at constant pressure

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Textbook Question

Assume that you have a sample of gas in a cylinder with a movable piston, as shown in the following drawing:

Redraw the apparatus to show what the sample will look like after (b) the pressure is increased from 1 atm to 2 atm at constant temperature

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