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You have a sample of gas at 0 C. You wish to increase the
rms speed by a factor of 3. To what temperature should
the gas be heated?
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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 113d
Consider the following gases, all at STP: Ne, SF6, N2, CH4. (d) Which one has the highest total molecular volume relative to the space occupied by the gas?
Guida verificata passo dopo passo1
Understand that at STP (Standard Temperature and Pressure), all gases occupy the same volume per mole, which is 22.4 L.
Recognize that the total molecular volume of a gas is related to the size of its molecules and the number of molecules present.
Consider that the molecular volume of a gas is negligible compared to the volume it occupies at STP, but larger molecules will have a slightly higher molecular volume.
Compare the molecular sizes: Ne (neon) is a noble gas with small atomic size, SF_6 (sulfur hexafluoride) is a large molecule due to its six fluorine atoms, N_2 (nitrogen) is a diatomic molecule, and CH_4 (methane) is a small tetrahedral molecule.
Conclude that SF_6, being the largest molecule among the given gases, will have the highest total molecular volume relative to the space occupied by the gas.
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Ideal Gas Law
The Ideal Gas Law (PV=nRT) describes the relationship between pressure (P), volume (V), temperature (T), and the number of moles (n) of a gas. At standard temperature and pressure (STP), gases behave ideally, allowing for the comparison of their volumes. Understanding this law is crucial for analyzing how different gases occupy space under the same conditions.
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01:15
Ideal Gas Law Formula
Molar Volume of Gases
At STP, one mole of an ideal gas occupies a volume of 22.4 liters. This concept allows for the comparison of the volumes of different gases based on their molar masses and molecular structures. Gases with larger molar masses or more complex structures may occupy more space, influencing their total molecular volume.
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01:21Standard Molar Volume
Density of Gases
The density of a gas is defined as its mass per unit volume. It is influenced by the molecular weight and the conditions of temperature and pressure. In the context of the question, understanding the densities of Ne, SF6, N2, and CH4 helps determine which gas has the highest total molecular volume relative to the space it occupies, as denser gases will have more mass in the same volume.
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01:56Density Concepts
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Consider the following gases, all at STP: Ne, SF6, N2, CH4. (g) Which one would have the largest van der Waals b parameter?
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Consider the following gases, all at STP: Ne, SF6, N2, CH4. (a) Which gas is most likely to depart from the assumption of the kinetic-molecular theory that says there are no attractive or repulsive forces between molecules?
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Consider the following gases, all at STP: Ne, SF6, N2, CH4. (f) Which one would effuse more rapidly than N2?
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