Chapter 7: Problem 40
Scientists use emission spectra to confirm the presence of an element in materials of unknown composition. Why is this possible?
Chapter 7: Problem 40
Scientists use emission spectra to confirm the presence of an element in materials of unknown composition. Why is this possible?
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Get started for freeWe expect the atomic radius to increase going down a group in the periodic table. Can you suggest why the atomic radius of hafnium breaks this rule? (See data below.) $$\begin{array}{llll}{\mathrm{Sc}} & {157} & {\mathrm{Ti}} & {147.7} \\\ {\mathrm{Y}} & {169.3} & {\mathrm{Zr}} & {159.3} \\ {\mathrm{La}} & {191.5} & {\mathrm{Hf}} & {147.6}\end{array}$$
A particle has a velocity that is \(90 . \%\) of the speed of light. If the wavelength of the particle is \(1.5 \times 10^{-15} \mathrm{m},\) calculate the mass of the particle.
The wave function for the 2\(p_{z}\) orbital in the hydrogen atom is $$\psi_{2 p_{z}}=\frac{1}{4 \sqrt{2 \pi}}\left(\frac{Z}{a_{0}}\right)^{3 / 2} \sigma \mathrm{e}^{-\sigma / 2} \cos \theta$$ where \(a_{0}\) is the value for the radius of the first Bohr orbit in meters \(\left(5.29 \times 10^{-11}\right), \sigma\) is \(Z\left(r / a_{0}\right), r\) is the value for the distance from the nucleus in meters, and \(\theta\) is an angle. Calculate the value of \(\psi_{2 p_{z}}^{2}\) at \(r=a_{0}\) for \(\theta=0^{\circ}\left(z \text { axis ) and for } \theta=90^{\circ}\right.\) (xy plane).
Draw atomic orbital diagrams representing the ground-state electron configuration for each of the following elements. a. Na b. Co c. Kr How many unpaired electrons are present in each element?
In each of the following sets, which atom or ion has the smallest radius? a. H, He b. Cl, In, Se c. element 120, element 119, element 116 d. Nb, Zn, Si e. \(\mathrm{Na}^{-}, \mathrm{Na}, \mathrm{Na}^{+}\)
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