Domanda del libro di testo
What is the molecular weight of a gas that diffuses through
a porous membrane 1.86 times faster than Xe? What might
the gas be?
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Ch.10 - Gases: Their Properties & Behavior
McMurry8th EditionChemistryISBN: 9781292336145
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TOC.tableOfContents
- Ch.1 - Chemical Tools: Experimentation & Measurement170
- Ch.2 - Atoms, Molecules & Ions160
- Ch.3 - Mass Relationships in Chemical Reactions169
- Ch.4 - Reactions in Aqueous Solution199
- Ch.5 - Periodicity & Electronic Structure of Atoms102
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory92
- Ch.7 - Covalent Bonding and Electron-Dot Structures61
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure59
- Ch.9 - Thermochemistry: Chemical Energy122
- Ch.10 - Gases: Their Properties & Behavior155
- Ch.11 - Liquids & Phase Changes54
- Ch.12 - Solids and Solid-State Materials73
- Ch.13 - Solutions & Their Properties120
- Ch.14 - Chemical Kinetics98
- Ch.15 - Chemical Equilibrium125
- Ch.16 - Aqueous Equilibria: Acids & Bases110
- Ch.17 - Applications of Aqueous Equilibria147
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium86
- Ch.19 - Electrochemistry154
- Ch.20 - Nuclear Chemistry96
- Ch.21 - Transition Elements and Coordination Chemistry156
- Ch.22 - The Main Group Elements187
- Ch.23 - Organic and Biological Chemistry51
Capitolo 10, Problema 107
Which will diffuse through a membrane more rapidly, CO or N2? Assume that the samples contain only the most abundant isotopes of each element, 12C, 16O, and 14N.
Guida verificata passo dopo passo1
Identify the molecular weights of CO and N2 using the most abundant isotopes: CO is composed of 12C and 16O, and N2 is composed of two 14N atoms.
Calculate the molar mass of CO: Add the atomic masses of carbon (12 amu) and oxygen (16 amu) to get the molar mass of CO.
Calculate the molar mass of N2: Add the atomic masses of two nitrogen atoms (14 amu each) to get the molar mass of N2.
Use Graham's law of effusion to compare the rates of diffusion: According to Graham's law, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.
Compare the square roots of the molar masses of CO and N2 to determine which gas will diffuse more rapidly.
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Graham's Law of Effusion
Graham's Law states that the rate of effusion (or diffusion) of a gas is inversely proportional to the square root of its molar mass. This means that lighter gases will diffuse more rapidly than heavier gases. In this context, comparing the molar masses of CO and N2 will help determine which gas diffuses faster through the membrane.
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Percorso guidato
2:03
Graham's Law of Effusion
Molar Mass Calculation
To apply Graham's Law, it is essential to calculate the molar mass of each gas. For CO, the molar mass is the sum of the atomic masses of carbon (12 g/mol) and oxygen (16 g/mol), totaling 28 g/mol. For N2, the molar mass is twice the atomic mass of nitrogen (14 g/mol), resulting in 28 g/mol as well. Understanding these calculations is crucial for comparing diffusion rates.
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Percorso guidato
03:12Molar Mass Calculation Example
Diffusion and Membrane Permeability
Diffusion is the process by which molecules move from an area of higher concentration to an area of lower concentration. The permeability of a membrane can affect the rate of diffusion, but in this case, since both gases have the same molar mass, the rate of diffusion will primarily depend on their molecular properties and the conditions of the environment.
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Percorso guidato
01:18Osmosis and Semipermeable Membranes
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