Download CH1710 HW#7 (2017)-Quanta, electron config

CH1710 - Homework #7
(Due: March 27, 2017)
Name:_____________________________
1. An FM station broadcasts classical music at 93.5 MHz (megahertz or 106 Hz). Find the
wavelength (in m, nm and Å) of these radio waves.
2. In addition to continuous radiation, fluorescent lamps emit sharp lines in the visible region
from a mercury discharge within the tube. Much of this light has a wavelength of 436 nm.
a. What is the energy (in J) of one photon of this light?
b. What is the energy (in J) of 1 mole of photons of this light?
3. Cobalt-60 is a radioactive isotope used to treat cancers of the brain and other tissues. A
gamma ray emitted by an atom of the isotope has an energy of 1.33 MeV (million electron
volts).
a. If 1 eV= 1.602 x 10-19 J, what is the frequency (in Hz) of this gamma ray ?
b. What is the wavelength (in m) of this gamma ray ?
4. Consider the photon absorbed when a hydrogen electron undergoes a transition from n=1
to n=3.
a) Use the Rydberg equation to calculate the wavelength (in Å) of this photon.
b) Calculate the energy difference (∆E) for the transition for 1 mol of H atoms.
5. Are the following quantum number combinations allowed ? If not, show how to correct
them.
a) n = 1; l = 0; ml = 0
b) n = 2; l = 2; ml = +1
c) n = 7; l = 1; ml = +2
d) n = 3; l = 1; ml = -2
6. Give all possible ml values for orbitals that have each of the following:
a) l = 3
b) n = 2
c) n = 6, l = 1
7. How many orbitals in an atom can have each of the following designations?
a) 5 f
b) 4 p
c) 5 d
d) n = 2
8. How many electrons in an atom can have each of the following quantum number or sublevel
designations ?
a) n = 2, l = 1, ml = 0
b) 5p
c) n = 4, l = 3
d) 2s
e) n = 3, l = 2
9. Write a full set of quantum numbers for each of the following:
a) The outermost electron in a Li atom
b) The electron gained when a Br atom gains an electron
c) The electron lost when a Cs atom ionizes
d) The highest energy electron in the ground-state B atom
10. Write the full and condensed ground state electron configurations and draw an orbital
diagram for
a) Mg
b) Sr
c) S
d) Se