a. Radiation from a sodium lamp, such as a streetlight, appears as yellow light and has a wavelength of 589 nm. A burst of yellow light from the lamp contains 609 kJ of energy.  How many moles of photons are contained in the burst of light?  b. Consider the hydrogen atom with one electron.  Determine the wavelength of the photon emitted when the electron drops from a 4d orbital to a 2p orbital in a hydrogen atom. c. Draw the complete orbital diagram (line and arrows) for Sr2+.  Label all orbitals.  Hint:  it might be useful to first write the full electron configuration, then do the orbital diagram. d. Draw the complete orbital diagram (line and arrows) for Co2+.  Label all orbitals.  Hint:  it might be useful to first write the full electron configuration, then do the orbital diagram.

Light Energy, and the Hydrogen Atom a Which has the greater wavelength, blue light or red light? b How do the frequencies of blue light and red light compare? c How does the energy of blue light compare with that of red light? d Does blue light have a greater speed than red light? e How does the energy of three photons from a blue light source compare with the energy of one photon of blue light from the same source? How does the energy of two photons corresponding to a wavelength of 451 nm (blue light) compare with the energy of three photons corresponding to a wavelength of 704 nm (red light)? f A hydrogen atom with an electron in its ground state interacts with a photon of light with a wavelength of 1.22 106 m. Could the electron make a transition from the ground state to a higher energy level? If it does make a transition, indicate which one. If no transition can occur, explain. g If you have one mole of hydrogen atoms with their electrons in the n = 1 level, what is the minimum number of photons you would need to interact with these atoms in order to have all of their electrons promoted to the n = 3 level? What wavelength of light would you need to perform this experiment?

Heated lithium atoms emit photons of light with an energy of 2.9611019 J. Calculate the frequency and wavelength of one of these photons. What is the total energy in 1 mole of these photons? What is the color of the emitted light?

The spectra of hydrogen and of calcium are shown in Figure 6.13. What causes the lines in these spectra? Why are the colors of the lines different? Suggest a reason for the observation that the spectrum of calcium is more complicated than the spectrum of hydrogen.

As the weapons officer aboard the Srarship Chemistry, it is your duty to configure a photon torpedo to remove an electron from the outer hull of an enemy vessel. You know that the work function (the binding energy of the electron) of the hull of the enemy ship is 7.52 1019 J. a. What wavelength does your photon torpedo need to be to eject an electron? b. You find an extra photon torpedo with a wavelength of 259 nm and fire it at the enemy vessel. Does this photon torpedo do any damage to the ship (does it eject an electron)? c. If the hull of the enemy vessel is made of the element with an electron configura tion of [Ar]4s13d10, what metal is this?

The “Chemistry in Focus" segment Fireworks discusses some of the chemicals that give rise to the colors of fireworks. How do these colors support the existence of quantized energy levels in atoms?

Although no currently known elements contain electrons in g orbitals in the ground state, it is possible that these elements will be found or that electrons in excited states of known elements could being orbitals. For g orbitals, the value of l is 4. What is the lowest value of n for which g orbitals could exist? What are tile possible values of ml? How many electrons could a set of g orbitals hold?

Identify the subshell in which electrons with the following quantum numbers are found: (a) n=2,l=1 (b) n=4,l=2 (c) n=6,l=0

Suppose that the spin quantum number could have the values 12,0 and 12 . Assuming that the rules governing the values of the other quantum numbers and the order of filling sublevels were unchanged, (a) what would be the electron capacity of an s sublevel? a p sublevel? a d sublevel? (b) how many electrons could fit in the n=3 level? (c) what would be the electron configuration of the element with atomic number 8? 17?

What is the maximum number of electrons that can occupy a f subshell (l = 3)?