Quantum Mechanics
1.
A photon has a frequency (v) of 5.45 x 1014 Hz
a. Calculate the photons wavelength (λ) in nm
b. Calculate the energy of one photon in J
2. Determine the following:
a. Higher frequency
b. Higher Energy
c. Longer wavelength
IR
or
X-Rays or
yellow or
UV
Microwaves
purple
3. Consider the following transitions. Which will emit light with a longer wavelength?
a. n = 4  n = 2
or
n=3  n=2
b. n = 3  n = 1
or
n=1  n=3
c. n = 5  n = 3
or
n=3  n=1
4. Calculate the wavelengths in nm for the transitions in problem 3C for a hydrogen atom.
5. The ionization energy of gold is 891 kJ/mol. Calculate the maximum wavelength of light
require to remove an electron.
6. It takes 208.4 kJ of energy to remove 1 mol of electrons from the atoms on the surface of
rubidium metal. If rubidium metal is irradiated with 254-nm light, what is the
maximum kinetic energy the released electrons can have?
7. Compare the wavelengths of an electron (9.11 x 10-31 kg) traveling at 5 x 107 m/s to a 2.50
kg ball traveling at 40. m/s.
8. Which of the following sets of quantum numbers are unacceptable? Explain your
answers.
a. (1, 0, 1/2, -1/2)
b. (3, 0, 0, 1/2)
c. (2, 2, 1, 1/2)
d. (3, 2, 1, 1)
e. (4, 3, -2, 1/2)
9. How many electrons in any one atom can have the following quantum numbers?
a. n = 5
b. n = 6, l = 0
c. n = 4, l = 2
d. n = 3, ml = 1
e. n = 4, l = 3, ml = -2
f. n = 2, l = 0, ml = 0, ms = -1/2
10. Fill in the following table:
Element
Symbol
P
Tc
Cr
Ag
BrFe3+
Ground State Electron
Configuration
Number of Valence
Electrons
# of Unpaired
Electrons
11. Determine if each of the following corresponds with an excited state or ground state
electron configuration.
a. [Ar]4s24p5
b. [Kr]6s1
c. [Ne]3s23p4
12. Which of the following has the largest radius?
a. Al or Si
b. F or Cl
c. S or S2d. K or K+
13. Which of the following has the greatest ionization energy?
a. K or Ca
b. P or As
c. Sr or Sr2+
14. Which of the following has the most negative electron affinity?
a. Br or Kr
b. C or Si