Domanda del libro di testo
From the data in Table 18.1, calculate the partial pressures of carbon dioxide and argon when the total atmospheric pressure is 1.05 bar.
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Ch.18 - Chemistry of the Environment
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 18, Problema 17a
The dissociation energy of a carbon-bromine bond is typically about 276 kJ/mol. (a) What is the maximum wavelength of photons that can cause C-Br bond dissociation?
Guida verificata passo dopo passo1
Step 1: Understand that the dissociation energy of a bond is the energy required to break that bond. In this case, we are given the dissociation energy of a carbon-bromine bond in kJ/mol. We need to convert this energy into Joules (J) because the formula we will use requires the energy in Joules. To do this, we use the conversion factor 1 kJ = 1000 J and 1 mol = 6.022 x 10^23 molecules (Avogadro's number).
Step 2: Use the formula for the energy of a photon, E = h * c / λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength. We are solving for λ, so we rearrange the formula to get λ = h * c / E.
Step 3: Substitute the values of h, c, and E (converted to Joules per molecule in step 1) into the formula. Remember to keep the units consistent, i.e., use Joules for energy, meters per second for the speed of light, and Joules*seconds for Planck's constant.
Step 4: Calculate the value of λ. This will give you the maximum wavelength of photons that can cause C-Br bond dissociation.
Step 5: Check your answer. The wavelength should be in the range of ultraviolet or visible light, as these are the types of light that typically have enough energy to break chemical bonds.
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Dissociation Energy
Dissociation energy is the amount of energy required to break a bond between two atoms in a molecule. It is typically expressed in kilojoules per mole (kJ/mol) and indicates the strength of the bond; higher values correspond to stronger bonds. In this context, the dissociation energy of the carbon-bromine bond is 276 kJ/mol, which is crucial for determining the energy of photons needed for bond dissociation.
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Percorso guidato
00:53
Lattice Energy
Photon Energy
Photon energy is the energy carried by a single photon, which can be calculated using the equation E = hν, where E is energy, h is Planck's constant (6.626 x 10^-34 J·s), and ν (nu) is the frequency of the photon. This relationship shows that the energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength, allowing us to relate energy to wavelength using the equation λ = c/ν, where c is the speed of light.
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Percorso guidato
01:40Photon Energy Formulas
Wavelength and Energy Relationship
The relationship between wavelength and energy is fundamental in quantum chemistry. As the wavelength of light increases, its energy decreases, and vice versa. This inverse relationship is expressed in the equation E = hc/λ, where λ is the wavelength. To find the maximum wavelength that can cause C-Br bond dissociation, one must convert the dissociation energy from kJ/mol to joules per photon and then apply this equation to solve for λ.
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Percorso guidato
00:31Frequency-Wavelength Relationship
Pratica correlata
Domanda del libro di testo
(a) Distinguish between photodissociation and photoionization.
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Domanda del libro di testo
The dissociation energy of a carbon-bromine bond is typically about 276 kJ/mol. (b) Which kind of electromagnetic radiation—ultraviolet, visible, or infrared—does the wavelength you calculated in part (a) correspond to?