Ch.5 - Periodicity & Electronic Structure of Atoms

McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo

McMurry 8th Edition

Ch.5 - Periodicity & Electronic Structure of Atoms

Problema 1

Capitolo 5, Problema 1

Which wave corresponds to higher energy radiation? (LO 5.1) (a)
(b)

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Identify the relationship between wavelength and energy. Recall that energy (E) of a wave is inversely proportional to its wavelength (\(\lambda\)), as described by the equation \(E = \frac{hc}{\lambda}\), where \(h\) is Planck's constant and \(c\) is the speed of light.

Determine the wavelengths of the waves in options (a) and (b). If not directly given, use any provided information or context clues to infer or calculate the wavelengths.

Compare the wavelengths of the two waves. The wave with the shorter wavelength will have higher energy, according to the inverse relationship between energy and wavelength.

Conclude which wave, (a) or (b), has the shorter wavelength and therefore corresponds to higher energy radiation.

Apply this understanding to any further analysis or questions related to the properties of electromagnetic radiation and their implications in various contexts.

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Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, arranged by wavelength and frequency. It ranges from radio waves with long wavelengths to gamma rays with very short wavelengths. Higher energy radiation corresponds to shorter wavelengths and higher frequencies, which are found at the ultraviolet, X-ray, and gamma-ray regions of the spectrum.

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02:53

Electromagnetic Spectrum

Energy-Frequency Relationship

The energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength, as described by the equation E = hν, where E is energy, h is Planck's constant, and ν is frequency. This means that as the frequency of radiation increases, so does its energy, making high-frequency waves like X-rays and gamma rays more energetic than lower-frequency waves like radio waves.

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00:31

Frequency-Wavelength Relationship

Photon Energy

Photons are the fundamental particles of light and other forms of electromagnetic radiation. The energy of a photon is quantized and can be calculated using the formula E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength. Thus, shorter wavelengths correspond to higher energy photons, which is crucial for understanding the nature of radiation and its effects.

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Photon Energy Formulas

Pratica correlata

Domanda del libro di testo

What is the energy (in kJ) of one mole of photons of ultraviolet light with a wavelength of 85 nm? (LO 5.3) (a) 1.4 * 10-6 kJ (b) 1.4 * 103 kJ (c) 2.4 * 1014 kJ (d) 2.4 * 10-15 kJ

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Domanda del libro di testo

When a copper salt such as Cu(NO3)2 is burned in a flame, a blue-green color is emitted. Which figure represents the emission spectrum for the element copper? (LO 5.6)? (a)

(b)

(c)

(d)

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Domanda del libro di testo

Which type of electromagnetic radiation will cause the greatest number of electrons to be ejected from zinc metal with a work function of 350 kJ/mol? (LO 5.4, 5.5) (a) Dim light with a wavelength of 320 nm (b) Dim light with a wavelength of 360 nm (c) Bright light with a wavelength of 360 nm (d) Bright light with a wavelength of 375 nm

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