Domanda del libro di testo
(b) Calculate the energy of a photon of radiation whose wavelength is 413 nm.
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Ch.6 - Electronic Structure of Atoms
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 25a
(a) Calculate the energy of a photon of electromagnetic radiation whose frequency is 2.94 × 1014 s-1.
Guida verificata passo dopo passo1
Identify the given frequency of the electromagnetic radiation, which is \(2.94 \times 10^{14} \, \text{s}^{-1}\).
Recall the formula for the energy of a photon, which is given by Planck's equation: \(E = h \nu\), where \(E\) is the energy of the photon, \(h\) is Planck's constant (\(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}\)), and \(\nu\) is the frequency of the radiation.
Substitute the given frequency and the value of Planck's constant into the equation.
Perform the multiplication to calculate the energy in joules (J).
Interpret the result, understanding that the energy calculated represents the energy carried by a single photon of the given electromagnetic radiation.
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Photon Energy
The energy of a photon is directly proportional to its frequency and 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 is the frequency in hertz. This relationship shows that higher frequency photons carry more energy.
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Percorso guidato
01:40
Photon Energy Formulas
Planck's Constant
Planck's constant is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency. It is a key component in the equation E = hν, and its value is approximately 6.626 x 10^-34 J·s. Understanding this constant is essential for calculating photon energy.
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00:50Photons and Planck's Constant
Frequency of Electromagnetic Radiation
Frequency refers to the number of cycles of a wave that pass a point in one second, measured in hertz (Hz). In the context of electromagnetic radiation, frequency is inversely related to wavelength, and it plays a crucial role in determining the energy of the photon, as described by the equation E = hν.
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01:02Electromagnetic Radiation Example
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If human height were quantized in 1-foot increments, what would happen to the height of a child as she grew up?
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b. The child’s height would continuously get greater.
c. The child’s height would increase in “jumps” of 1 foot at a time.
d. The child’s height would increase in jumps of 6 inches.
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