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Ch.5 - Gases
Chapter 5, Problem 64

A 275-mL flask contains pure helium at a pressure of 752 torr. A second flask with a volume of 475 mL contains pure argon at a pressure of 722 torr. If we connect the two flasks through a stopcock and we open the stopcock, what is the partial pressure of argon?

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Key Concepts

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

Dalton's Law of Partial Pressures

Dalton's Law states that in a mixture of gases, the total pressure exerted is equal to the sum of the partial pressures of each individual gas. This principle allows us to calculate the pressure of a specific gas in a mixture by considering its contribution to the total pressure, which is essential for solving problems involving multiple gases.
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Gas Laws and Volume Relationships

Understanding the relationships between pressure, volume, and temperature of gases is crucial. According to Boyle's Law, for a given amount of gas at constant temperature, the pressure of a gas is inversely proportional to its volume. This concept helps in determining how the pressures of gases change when they are allowed to mix in different volumes.
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Ideal Gas Behavior

The ideal gas law (PV=nRT) describes the behavior of an ideal gas, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. While real gases may deviate from this behavior under certain conditions, the ideal gas law provides a foundational understanding for calculating pressures and volumes in gas mixtures, which is relevant for this question.
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Related Practice
Textbook Question

A gas mixture contains each of the following gases at the indicated partial pressures: N2, 215 torr; O2, 102 torr; and He, 117 torr. What is the total pressure of the mixture? What mass of each gas is present in a 1.35-L sample of this mixture at 25.0 °C?

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Textbook Question

A gas mixture with a total pressure of 745 mmHg contains each of the following gases at the indicated partial pressures: CO2, 125 mmHg; Ar, 214 mmHg; and O2, 187 mmHg. The mixture also contains helium gas. What is the partial pressure of the helium gas? What mass of helium gas is present in a 12.0-L sample of this mixture at 273 K?

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Textbook Question

A 1.20-g sample of dry ice is added to a 755 mL flask containing nitrogen gas at a temperature of 25.0 °C and a pressure of 725 mmHg. The dry ice sublimes (converts from solid to gas), and the mixture returns to 25.0 °C. What is the total pressure in the flask?

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Textbook Question

A gas mixture contains 1.25 g N2 and 0.85 g O2 in a 1.55 L container at 18 °C. Calculate the mole fraction and partial pressure of each component in the gas mixture.

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Textbook Question

What is the mole fraction of oxygen gas in air (see Table 5.3)? What volume of air contains 10.0 g of oxygen gas at 273 K and 1.00 atm?

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Textbook Question

The hydrogen gas formed in a chemical reaction is collected over water at 30.0 °C at a total pressure of 732 mmHg. What is the partial pressure of the hydrogen gas collected in this way? If the total volume of gas collected is 722 mL, what mass of hydrogen gas is collected?

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