Exam 1 (Practice Problems) 1. What is the energy of a photon whose

Exam 1 (Practice Problems). 1. What is the energy of a photon whose frequency is 3.002 X 1012 Hz? 2. A red light traveling in a vacuum has a wavelengt...

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Exam 1 (Practice Problems) 1. What is the energy of a photon whose frequency is 3.002 X 10

12

Hz?

2. A red light traveling in a vacuum has a wavelength of 728.0 nm. a. What is the frequency of the light? b. What is the speed of the wave in m/s? 14

3. A purple light has a frequency of 7.420 x 10 Hz. a. What is its wavelength? b. What is the energy of one photon of light? 4. An electron in the hydrogen atom falls from one energy level to n = 2. The wavelength of the photon emitted in this process was 434.1 nm. What was the initial energy level of the electron? e-

n=? λ = 434.1 nm

n=2

5. Using the Rydberg equation, determine the wavelength of a photon emitted when an electron falls form n = 2 to n = 1 within the hydrogen atom? 6. The Bohr equation is used to calculate the energy of an electron within the hydrogen atom. a. What is the energy of an electron in n = 4 of the hydrogen atom? b. What is the energy of an electron in n = ∞ of the hydrogen atom? c. How much energy is needed to remove an electron from the hydrogen atom if the electron is in n = 4? d. What is the frequency and wavelength of light describes in part c? -18

J, what is its wavelength in nm?

-17

J. What is its frequency in s ?

7. If the energy of a photon is 1.320 × 10 8. A photon has an energy of 5.530 × 10

-1

9. What is the frequency of a photon emitted when an electron drops from n = 5 of the hydrogen atom to n= 1? 10. According to the Bohr theory of the hydrogen atom, what is the minimum energy (in J) needed to ionize a hydrogen atom from the n = 2 state? Hint: ionization of a hydrogen + atom indicates the electron has been removed to produce an H . 11. An electron in the hydrogen atom is excited from n = 1 to n = 3. What is the wavelength of light absorbed in order to allow this transition? 12. The hydrogen emission spectrum has a line at 1005 nm. If the electron’s final energy level is 3, what was the original n level?

13. Fill in the following table with the proper formula. 3NO3 PO4 Mg

O

2-

HSO4

-

2+

Hg2

2+

NH4 Cu

+

+

example: Cu2O

14. Fill in the following table. Isotopic Symbol Number of Protons 112

58

Number of Electrons

13

14

10

56

81

56

54

74

54

Cs

Fe

123

207

Number of Neutrons

Sb

Pb

2+

10

15. Boron has two stable isotopes; B (mass = 10.01 amu) and 10 What is the percent of naturally occurring B?

11

B (mass = 11.01 amu).