Domanda del libro di testo
Is energy emitted or absorbed when the following electronic transitions occur in hydrogen? (a) from n = 3 to n = 2 (c) an electron adds to the H+ ion and ends up in the n = 2 shell?
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Ch.6 - Electronic Structure of Atoms
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 6, Problema 39a
(a) Using Equation 6.5, calculate the energy of an electron in the hydrogen atom when n = 3 and when n = 6. Calculate the wavelength of the radiation released when an electron moves from n = 6 to n = 3.
Guida verificata passo dopo passo1
Identify the equation for the energy of an electron in a hydrogen atom, which is typically given by the formula: E_n = -\(\frac{Z^2 \times 13.6 \text{ eV}\)}{n^2}, where Z is the atomic number (1 for hydrogen) and n is the principal quantum number.
Substitute n = 3 into the energy equation to find the energy of the electron when n = 3.
Substitute n = 6 into the energy equation to find the energy of the electron when n = 6.
Calculate the energy difference (\(\Delta\) E) between the two energy levels (n = 6 and n = 3) by subtracting the energy at n = 3 from the energy at n = 6.
Use the energy difference calculated in the previous step to find the wavelength of the radiation released using the formula: \(\lambda\) = \(\frac{hc}{\Delta E}\), where h is Planck's constant (6.626 x 10^{-34} J s) and c is the speed of light (3.00 x 10^8 m/s).
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Energy Levels in Hydrogen Atom
In a hydrogen atom, electrons occupy discrete energy levels, denoted by the principal quantum number 'n'. The energy of an electron in a given level can be calculated using the formula E_n = -13.6 eV/n², where E_n is the energy in electron volts and n is the principal quantum number. Higher values of n correspond to higher energy levels, and the energy becomes less negative as n increases.
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01:22
Hydrogenation Reactions
Photon Emission and Wavelength
When an electron transitions between energy levels, it can emit or absorb a photon, which corresponds to the energy difference between the two levels. The energy of the emitted photon can be calculated using the equation ΔE = E_initial - E_final. The wavelength of the emitted radiation can then be determined using the equation λ = hc/ΔE, where h is Planck's constant and c is the speed of light.
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01:51Emission Spectra
Calculating Energy Differences
To find the energy difference when an electron moves from a higher energy level (n=6) to a lower one (n=3), you first calculate the energies at both levels using the energy formula. The difference in energy (ΔE) will give you the energy of the photon emitted during the transition. This energy can then be used to find the wavelength of the emitted radiation, which is crucial for understanding the spectral lines of hydrogen.
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01:51Gibbs Free Energy of Reactions
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Domanda del libro di testo
(b) Is this line in the visible region of the electromagnetic spectrum?
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Domanda del libro di testo
The visible emission lines observed by Balmer all involved nf = 2. (a) Which of the following is the best explanation of why the lines with nf = 3 are not observed in the visible portion of the spectrum: (i) Transitions to nf = 3 are not allowed to happen, (ii) transitions to nf = 3 emit photons in the infrared portion of the spectrum, (iii) transitions to nf = 3 emit photons in the ultraviolet portion of the spectrum, or (iv) transitions to nf = 3 emit photons that are at exactly the same wavelengths as those to nf = 2.
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Domanda del libro di testo
Indicate whether energy is emitted or absorbed when the following electronic transitions occur in hydrogen: (a) from n = 2 to n = 3 (c) from the n = 9 to the n = 6 state.
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Domanda del libro di testo
Consider a transition of the electron in the hydrogen atom from n = 8 to n = 3. (b) Will the light be absorbed or emitted?
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Domanda del libro di testo
Is energy emitted or absorbed when the following electronic transitions occur in hydrogen? (b) from an orbit of radius 0.846 nm to one of radius 0.212 nm
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