Domanda del libro di testo
List these types of electromagnetic radiation in order of (i) increasing frequency and (ii) decreasing energy per photon. a. gamma rays b. radio waves c. microwaves d. visible light
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Ch.7 - Quantum-Mechanical Model of the Atom
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831
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TOC.tableOfContents
- Ch.1 - Matter, Measurement & Problem Solving136
- Ch.2 - Atoms & Elements112
- Ch.3 - Molecules, Compounds & Chemical Equations159
- Ch.4 - Chemical Quantities & Aqueous Reactions140
- Ch.5 - Gases118
- Ch.6 - Thermochemistry106
- Ch.7 - Quantum-Mechanical Model of the Atom62
- Ch.8 - Periodic Properties of the Elements103
- Ch.9 - Chemical Bonding I: The Lewis Model104
- Ch.10 - Chemical Bonding II: Molecular Shapes & Valence Bond Theory89
- Ch.11 - Liquids, Solids & Intermolecular Forces73
- Ch.12 - Solids and Modern Material59
- Ch.13 - Solutions110
- Ch.14 - Chemical Kinetics140
- Ch.15 - Chemical Equilibrium78
- Ch.16 - Acids and Bases155
- Ch.17 - Aqueous Ionic Equilibrium176
- Ch.18 - Free Energy and Thermodynamics108
- Ch.19 - Electrochemistry118
- Ch.20 - Radioactivity and Nuclear Chemistry82
- Ch.21 - Organic Chemistry150
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 7, Problema 42
Calculate the energy of a photon of electromagnetic radiation at each of the frequencies indicated in Problem 40. a. 100.2 MHz (typical frequency for FM radio broadcasting) b. 1070 kHz (typical frequency for AM radio broadcasting) (assume four significant figures) c. 835.6 MHz (common frequency used for cell phone communication)
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Identify the formula to calculate the energy of a photon: \( E = h \cdot f \), where \( E \) is the energy, \( h \) is Planck's constant \( 6.626 \times 10^{-34} \text{ J} \cdot \text{s} \), and \( f \) is the frequency.
Convert the given frequencies to hertz (Hz) if necessary: a. 100.2 MHz = 100.2 \(\times\) 10^6 \(\text{ Hz}\), b. 1070 kHz = 1070 \(\times\) 10^3 \(\text{ Hz}\), c. 835.6 MHz = 835.6 \(\times\) 10^6 \(\text{ Hz}\).
Substitute the frequency values into the energy formula for each case: a. \( E = 6.626 \times 10^{-34} \text{ J} \cdot \text{s} \times 100.2 \times 10^6 \text{ Hz} \), b. \( E = 6.626 \times 10^{-34} \text{ J} \cdot \text{s} \times 1070 \times 10^3 \text{ Hz} \), c. \( E = 6.626 \times 10^{-34} \text{ J} \cdot \text{s} \times 835.6 \times 10^6 \text{ Hz} \).
Calculate the energy for each frequency using the formula and ensure the result is expressed with four significant figures.
Review the calculated energies to ensure they are reasonable and consistent with the expected range for electromagnetic radiation energies.
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Photon Energy
The energy of a photon is directly proportional to its frequency, described by 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 in hertz. This relationship indicates that higher frequency photons carry more energy, which is crucial for understanding electromagnetic radiation.
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Percorso guidato
01:40
Photon Energy Formulas
Electromagnetic Spectrum
The electromagnetic spectrum encompasses all types of electromagnetic radiation, ranging from radio waves to gamma rays. Frequencies mentioned in the question, such as MHz and kHz, fall within the radio wave region of the spectrum, which is used for various communication technologies, including FM and AM radio broadcasting.
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Percorso guidato
02:53Electromagnetic Spectrum
Significant Figures
Significant figures are the digits in a number that contribute to its precision. When performing calculations, especially in scientific contexts, it is essential to maintain the correct number of significant figures to ensure accuracy and reliability in the results, as indicated in the problem's instruction to assume four significant figures.
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01:09Significant Figures Example
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Determine the energy of 1 mol of photons for each kind of light. (Assume three significant figures.) a. infrared radiation (1500 nm) b. visible light (500 nm) c. ultraviolet radiation (150 nm)
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