Which assumptions of the kinetic–molecular theory explain the behavior of gases described by Charles's law? Explain your answer.
Ch.8 Gases, Liquids and Solids
McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187Non è quello che usi tu?Cambia libro di testo
Capitolo 8, Problema 27
Assume that you have a sample of gas at 350 K in a sealed container, as represented in part (a). Which of the drawings (b)–(d) represents the gas after the temperature is lowered from 350 K to 150 K and if the gas has a boiling point of 200 K? Which drawing represents the gas at 150 K if the gas has a boiling point of 100 K?
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Step 1: Analyze the initial conditions of the gas in the sealed container. At 350 K, the gas is represented in drawing (i), where the particles are evenly distributed throughout the container, indicating the gas phase.
Step 2: Consider the first scenario where the temperature is lowered to 150 K, and the gas has a boiling point of 200 K. Since the boiling point is higher than 150 K, the gas will condense into a liquid phase. Among the drawings, (ii) represents the liquid phase with particles concentrated at the bottom of the container and some remaining in the liquid.
Step 3: For the second scenario, where the temperature is lowered to 150 K and the gas has a boiling point of 100 K, the gas remains in the gaseous phase because the temperature is above its boiling point. Drawing (iv) represents the gas phase at 150 K, with particles evenly distributed throughout the container.
Step 4: Understand the relationship between temperature and phase changes. When the temperature is below the boiling point, the gas condenses into a liquid. When the temperature is above the boiling point, the substance remains in the gaseous phase.
Step 5: Match the visual representations to the physical states of matter. Drawing (ii) corresponds to the liquid phase at 150 K for a boiling point of 200 K, and drawing (iv) corresponds to the gaseous phase at 150 K for a boiling point of 100 K.

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The behavior of gases is significantly influenced by temperature. As temperature decreases, the kinetic energy of gas particles also decreases, leading to reduced movement and potential condensation. Understanding this relationship is crucial for predicting how gas will behave when subjected to temperature changes.
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The boiling point of a substance is the temperature at which it transitions from a liquid to a gas. For gases, if the temperature drops below the boiling point, the gas may condense into a liquid. This concept is essential for determining the state of the gas at different temperatures, especially in the context of the question.
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Phase diagrams illustrate the states of matter (solid, liquid, gas) of a substance at various temperatures and pressures. They help visualize how a substance transitions between states, which is vital for understanding the effects of temperature changes on gas behavior, particularly when analyzing the drawings provided in the question.
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