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Chapter 7: Problem 26

Some copper compounds emit green light when they are heated in a flame. How would you determine whether the light is of one wavelength or a mixture of two or more wavelengths?

Short Answer

Expert verified
The determination of whether the light is of one wavelength or a mixture of two or more wavelengths can be made through spectral analysis. Heating the copper compound and directing the emitted green light through a spectrometer enables us to inspect the light's spectrum. If the light is of one wavelength, the spectrometer will show a peak at that wavelength. If the light is of a mixture of two or more wavelengths, there would be several peaks demonstrating the presence of multiple wavelengths.

Step by step solution

01

Understanding Spectral Analysis

Spectral analysis is a method to inspect the spectrum of light. This inspection can be done through a device called a spectrometer. A spectrometer works by dispersing the light into different wavelengths and recording the intensity of light for each separate wavelength.
02

Observation of Emitted Light

Heat the copper compound in a flame, observe the green light emitted. This green light is then directed through the spectrometer.
03

Interpreting Spectrometer Results

Analyse the results from the spectrometer. If the light is of one wavelength, the spectrometer will show a peak at that particular wavelength. If it's a mixture of two or more wavelengths, there would be more than one peak at the different wavelengths.

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Most popular questions from this chapter

A certain pitcher's fastballs have been clocked at about \(100 \mathrm{mph}\). (a) Calculate the wavelength of a \(0.141-\mathrm{kg}\) baseball (in \(\mathrm{nm})\) at this speed. (b) What is the wavelength of a hydrogen atom at the same speed? ( 1 mile \(=1609 \mathrm{~m}\) )

How many photons at \(660 \mathrm{nm}\) must be absorbed to melt \(5.0 \times 10^{2} \mathrm{~g}\) of ice \(?\) On average, how many \(\mathrm{H}_{2} \mathrm{O}\) molecules does one photon convert from ice to water? (Hint: It takes \(334 \mathrm{~J}\) to melt \(1 \mathrm{~g}\) of ice at \(0^{\circ} \mathrm{C}\).)

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$$ \begin{array}{lccccc} \lambda(\mathrm{nm}) & 405 & 435.8 & 480 & 520 & 577.7 \\ \hline \mathrm{KE}(\mathrm{J}) & 2.360 \times & 2.029 \times & 1.643 \times & 1.417 \times & 1.067 \times \\ & 10^{-19} & 10^{-19} & 10^{-19} & 10^{-19} & 10^{-19} \end{array} $$ (a) What is the lowest possible value of the principal quantum number \((n)\) when the angular momentum quantum number \((\ell)\) is \(1 ?\) (b) What are the possible values of the angular momentum quantum number ( \(\ell\) ) when the magnetic quantum number \(\left(m_{\ell}\right)\) is 0 , given than \(n \leq 4 ?\)

Describe the four quantum numbers used to characterize an electron in an atom.
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