Chapter 2: Problem 16
Is the following statement true or false? The hydrogen atom has a \(3 s\) orbital. Explain.
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Chapter 2: Problem 16
Is the following statement true or false? The hydrogen atom has a \(3 s\) orbital. Explain.
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The bright yellow light emitted by a sodium vapor lamp consists of two emission lines at 589.0 and \(589.6 \mathrm{nm}\). What are the frequency and the energy of a photon of light at each of these wavelengths? What are the energies in \(\mathrm{kJ} / \mathrm{mol} ?\)
Write the expected ground-state electron configuration for the following. a. the element with one unpaired \(5 p\) electron that forms a covalent compound with fluorine b. the (as yet undiscovered) alkaline earth metal after radium c. the noble gas with electrons occupying \(4 f\) orbitals d. the first-row transition metal with the most unpaired electrons
Which of the following sets of quantum numbers are not allowed in the hydrogen atom? For the sets of quantum numbers that are incorrect, state what is wrong in each set. a. \(n=3, \ell=2, m_{c}=2\) b. \(n=4, \ell=3, m_{\ell}=4\) c. \(n=0, \ell=0, m_{\ell}=0\) d. \(n=2, \ell=-1, m_{c}=1\)
Assume that we are in another universe with different physical laws. Electrons in this universe are described by four quantum numbers with meanings similar to those we use. We will call these quantum numbers \(p, q, r,\) and \(s .\) The rules for these quantum numbers are as follows: \(p=1,2,3,4,5, \dots\) \(q\) takes on positive odd integers and \(q \leq p\) \(r\) takes on all even integer values from \(-q\) to \(+q\). (Zero is considered an even number.) \(s=+\frac{1}{2}\) or \(-\frac{1}{2}\) a. Sketch what the first four periods of the periodic table will look like in this universe. b. What are the atomic numbers of the first four elements you would expect to be least reactive? c. Give an example, using elements in the first four rows, of ionic compounds with the formulas XY, XY \(_{2}, X_{2} Y, X Y_{3}\) and \(\mathrm{X}_{2} \mathrm{Y}_{3}\) d. How many electrons can have \(p=4, q=3 ?\) e. How many electrons can have \(p=3, q=0, r=0 ?\) f. How many electrons can have \(p=6 ?\)
Does a photon of visible light \((\lambda=400 \text { to } 700 \mathrm{nm}\) ) have sufficient energy to excite an electron in a hydrogen atom from the \(n=1\) to the \(n=5\) energy state? From the \(n=2\) to the \(n=\) 6 energy state?
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