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Ch.10 - Gases
Chapter 10, Problem 91

Which statement concerning the van der Waals constants a and b is true? (a) The magnitude of a relates to molecular volume, whereas b relates to attractions between molecules. (b) The magnitude of a relates to attractions between molecules, whereas b relates to molecular volume. (c) The magnitudes of a and b depend on pressure. (d) The magnitudes of a and b depend on temperature.

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Key Concepts

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

van der Waals Equation

The van der Waals equation is an adjustment of the ideal gas law that accounts for the volume occupied by gas molecules and the attractive forces between them. It introduces two constants, 'a' and 'b', which correct for these non-ideal behaviors. The constant 'a' quantifies the strength of intermolecular attractions, while 'b' represents the volume occupied by the gas molecules themselves.
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Van der Waals Equation

Constant 'a'

In the van der Waals equation, the constant 'a' is associated with the attractive forces between molecules. A larger value of 'a' indicates stronger intermolecular attractions, which can lead to deviations from ideal gas behavior, especially at high pressures and low temperatures. This constant is crucial for understanding how real gases behave compared to ideal gases.
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Equilibrium Constant K

Constant 'b'

The constant 'b' in the van der Waals equation represents the effective volume occupied by gas molecules, accounting for the finite size of the particles. It reflects the volume excluded from the available space for molecular motion due to the presence of the molecules themselves. A larger 'b' value indicates that the gas molecules occupy more space, which is significant in understanding the behavior of gases under various conditions.
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Related Practice
Textbook Question

A gas of unknown molecular mass was allowed to effuse through a small opening under constant-pressure conditions. It required 105 s for 1.0 L of the gas to effuse. Under identical experimental conditions it required 31 s for 1.0 L of O2 gas to effuse. Calculate the molar mass of the unknown gas. (Remember that the faster the rate of effusion, the shorter the time required for effusion of 1.0 L; in other words, rate is the amount that diffuses over the time it takes to diffuse.)

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Textbook Question

(b) List two reasons why the gases deviate from ideal behavior.

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Textbook Question

The planet Jupiter has a surface temperature of 140 K and a mass 318 times that of Earth. Mercury (the planet) has a surface temperature between 600 K and 700 K and a mass 0.05 times that of Earth. On which planet is the atmosphere more likely to obey the ideal-gas law? Explain.

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Textbook Question

Calculate the pressure that CCl4 will exert at 80 °C if 1.00 mol occupies 33.3 L, assuming that (a) CCl4 obeys the ideal-gas equation (b) CCl4 obeys the van der Waals equation. (Values for the van der Waals constants are given in Table 10.3.)

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Textbook Question

Table 10.3 shows that the van der Waals b parameter has units of L/mol. This means that we can calculate the sizes of atoms or molecules from the b parameter. Refer back to the discussion in Section 7.3. Is the van der Waals radius we calculate from the b parameter of Table 10.3 more closely associated with the bonding or nonbonding atomic radius discussed there? Explain.

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Textbook Question

A gas bubble with a volume of 1.0 mm3 originates at the bottom of a lake where the pressure is 3.0 atm. Calculate its volume when the bubble reaches the surface of the lake where the pressure is 730 torr, assuming that the temperature does not change.

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