Domanda del libro di testo
A heat lamp produces 32.8 watts of power at a wavelength of 6.5 µm. How many photons are emitted per second? (1 watt = 1 J/s)
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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 43
A laser pulse with wavelength 532 nm contains 3.85 mJ of energy. How many photons are in the laser pulse?
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Calculate the energy of one photon using the equation \(E = \frac{hc}{\lambda}\), where \(h\) is Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\)), \(c\) is the speed of light (\(3.00 \times 10^8 \, \text{m/s}\)), and \(\lambda\) is the wavelength of the photon (532 nm converted to meters).
Convert the energy of the laser pulse from millijoules to joules.
Divide the total energy of the laser pulse by the energy of one photon to find the number of photons. Use the formula \(N = \frac{E_{\text{total}}}{E_{\text{photon}}}\), where \(N\) is the number of photons, \(E_{\text{total}}\) is the total energy of the pulse, and \(E_{\text{photon}}\) is the energy of one photon.
Ensure the units are consistent when performing the calculations, particularly converting nm to meters for wavelength and mJ to J for energy.
Check the calculation for accuracy by verifying the units cancel appropriately, leaving a unitless count of photons.
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Photon Energy
The energy of a single photon can be calculated using the equation E = hc/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 in meters. This relationship shows how the energy of photons is inversely proportional to their wavelength.
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01:40
Photon Energy Formulas
Total Energy of the Laser Pulse
The total energy of the laser pulse is given as 3.85 mJ, which can be converted to joules (1 mJ = 0.001 J). This total energy represents the cumulative energy of all the photons emitted in the pulse, and is essential for determining the number of photons present.
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00:40Internal Energy
Calculating the Number of Photons
To find the number of photons in the laser pulse, divide the total energy of the pulse by the energy of a single photon. This calculation provides the total count of photons, illustrating the relationship between energy and the quantized nature of light.
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01:22Calculate Oxidation Numbers Example
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Domanda del libro di testo
Calculate the energy of a photon of electromagnetic radiation at each of the wavelengths indicated in Problem 39. a. 632.8 nm (wavelength of red light from helium–neon laser) b. 503 nm (wavelength of maximum solar radiation) c. 0.052 nm (wavelength contained in medical X-rays)
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Domanda del libro di testo
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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Domanda del libro di testo
How much energy is contained in 1 mol of each? a. X-ray photons with a wavelength of 0.135 nm b. γ-ray photons with a wavelength of 2.15×10–5 nm
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Domanda del libro di testo
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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Domanda del libro di testo
Calculate the frequency of each wavelength of electromagnetic radiation: a. 632.8 nm (wavelength of red light from helium–neon laser) b. 503 nm (wavelength of maximum solar radiation) c. 0.052 nm (wavelength contained in medical X-rays)
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