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Ch.5 - Periodicity & Electronic Structure of Atoms
Chapter 5, Problem 57

Sodium-vapor lamps are a common source of lighting. The emission spectrum from this type of lamp is shown. Is this a continuous or line emission spectrum? Emission spectrum of sodium-vapor lamp showing light intensity at various wavelengths.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Emission Spectrum

An emission spectrum is produced when atoms or molecules emit light at specific wavelengths as they transition from a higher energy state to a lower one. Each element has a unique emission spectrum, which consists of distinct lines corresponding to the wavelengths of light emitted. This spectrum can be used to identify the presence of specific elements in a sample.
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Emission Spectra

Line vs. Continuous Spectrum

A line emission spectrum consists of discrete lines at specific wavelengths, indicating the presence of particular elements, while a continuous spectrum displays a smooth range of wavelengths without gaps. In the case of sodium-vapor lamps, the emitted light produces a line spectrum due to the quantized energy transitions of sodium atoms, which can be visually represented as sharp peaks in the spectrum.
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Electromagnetic Spectrum

Sodium Vapor Lamps

Sodium vapor lamps are a type of gas discharge lamp that emits light by passing an electric current through vaporized sodium. These lamps are known for their characteristic yellow-orange light and are commonly used in street lighting. The emission spectrum of sodium vapor lamps primarily features strong lines in the yellow region, which are indicative of the sodium element's specific energy transitions.
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Related Practice
Textbook Question
The work function of silver metal is 436 kJ/mol. What frequency of light is needed to eject electrons from a sample of silver?
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Cesium metal is frequently used in photoelectric cells because the amount of energy necessary to eject electrons from a cesium surface is relatively small—only 206.5 kJ/mol. What wavelength of light in nanometers does this correspond to?
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Textbook Question
Spectroscopy is a technique that uses the interaction of radiant energy with matter to identify or quantify a substance in a sample. A deuterium lamp is often used a light source in the ultraviolet region of the spectrum and the emission spectrum is shown. Is this a continuous or line emission spectrum?

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Textbook Question
According to the equation for the Balmer line spectrum of hydrogen, a value of n = 3 gives a red spectral line at 656.3 nm, a value of n = 4 gives a green line at 486.1 nm, and a value of n = 5 gives a blue line at 434.0 nm. Calculate the energy in kilojoules per mole of the radiation corresponding to each of these spectral lines.
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Textbook Question
Calculate the wavelength and energy in kilojoules necessary to completely remove an electron from the second shell (m = 2) of a hydrogen atom (R∞ = 1.097 * 10-2 nm-1).
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Textbook Question
Use the Balmer equation to calculate the wavelength in nano-meters of the spectral line for hydrogen when n = 6 and m = 2. What is the energy in kilojoules per mole of the radiation corresponding to this line?
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