Atomic Structure Homework Problem Set

1. Carbon dioxide (CO₂) in the atmosphere acts as a greenhouse gas by absorbing infrared radiation at a wavelength of 15µm. What is the frequency of this radiation (Hz)? What is the energy of a single photon of this radiation (J)? What is the energy of a mole of photons at this wavelength (J mole^-1)?
2. Ozone (O₃) in the stratosphere filters out ultraviolet radiation by absorbing light at a wavelength of 250 nm. What is the frequency of this radiation (Hz)? What is the energy of a single photon of this radiation (J)? What is the energy of a mole of photons at this wavelength (J mole^-1)?
3. What is the wavelength (nm), frequency (Hz), energy per photon (J) and energy per mole of photons (J mole^-1) of the radiation produced by the transition of an electron in hydrogen
   1. from the n=2 to n=1 level
   2. from the n=3 to n=1 level
   3. from the n=5 to n=1 level
   4. from the n=10 to n=1 level
   5. from the n=100 to n=1 level
4. Make a table of the possible quantum numbers for a hydrogen electron that has been excited to a,
   1. 2s orbital
   2. 4p orbital
   3. 5d orbital
   4. 6f orbital
5. Draw diagrams of the following orbitals,
   1. 1s
   2. 2p_x
   3. 2p_y
   4. 2p_z