Domanda del libro di testo
(b) What is the molar volume of an ideal gas at STP?
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Ch.10 - Gases
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 10, Problema 27a
(a) Amonton's law expresses the relationship between pressure and temperature. Use Charles's law and Boyle's law to derive the proportionality relationship between P and T.
Guida verificata passo dopo passo1
Start by recalling Charles's Law, which states that the volume of a gas is directly proportional to its temperature at constant pressure: \( V \propto T \) or \( V = kT \), where \( k \) is a constant.
Recall Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume at constant temperature: \( P \propto \frac{1}{V} \) or \( PV = k' \), where \( k' \) is a constant.
Combine the two laws by substituting the expression for \( V \) from Charles's Law into Boyle's Law: \( P(kT) = k' \).
Simplify the equation to express the relationship between pressure and temperature: \( P \propto T \) or \( P = k''T \), where \( k'' \) is a new constant.
Conclude that Amonton's Law, which is also known as Gay-Lussac's Law, states that the pressure of a gas is directly proportional to its temperature when volume is held constant.
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Amonton's Law
Amonton's Law, also known as the pressure-temperature law, states that the pressure of a gas is directly proportional to its absolute temperature when the volume is held constant. This relationship implies that as the temperature increases, the kinetic energy of gas molecules increases, leading to higher pressure if the volume does not change.
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Percorso guidato
02:03
Hess's Law
Charles's Law
Charles's Law describes how the volume of a gas is directly proportional to its absolute temperature when pressure is held constant. This means that if the temperature of a gas increases, its volume will also increase, provided the pressure remains unchanged. This law is essential for understanding how temperature affects gas behavior.
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Percorso guidato
02:06Charles's Law
Boyle's Law
Boyle's Law states that the pressure of a gas is inversely proportional to its volume when the temperature is held constant. This means that if the volume of a gas decreases, its pressure increases, assuming the temperature remains constant. This law is crucial for analyzing the relationships between pressure, volume, and temperature in gas systems.
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Percorso guidato
03:13Boyle's Law
Pratica correlata
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(b) If a car tire is filled to a pressure of 220.6 kPa measured at 24 °C, what will be the tire pressure if the tires heat up to 49 °C during driving?
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Domanda del libro di testo
An open-end manometer containing mercury is connected to a container of gas, as depicted in Sample Exercise 10.2. What is the pressure of the enclosed gas in torr in each of the following situations? (a) The mercury in the arm attached to the gas is 15.4 mm higher than in the one open to the atmosphere; atmospheric pressure is 0.985 atm.
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Domanda del libro di testo
You have a gas at 25 C confined to a cylinder with a movable piston. Which of the following actions would double the gas pressure? (a) Lifting up on the piston to double the volume while keeping the temperature constant (b) Heating the gas so that its temperature rises from 25 C to 50 C, while keeping the volume constant (c) Pushing down on the piston to halve the volume while keeping the temperature constant.
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