San Diego State University Rules for Quantum Numbers Chemistry Exercises

Question Description

1. Calculate the minimum uncertainty in position of an electron that is traveling at 2.4 x 10⁶ m/s, where the velocity is known to within 3%.

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Group of answer choices

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2 x 10^-11 m

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8 x 10^-10 m

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1 x 10^-58 m

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1 x 10^-9 m

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3 x 10^-59 m

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2. Calculate the minimum uncertainty in position of an electron that is traveling at 2.4 x 10⁶ m/s, where the velocity is known to within 3%.

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Group of answer choices

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2 x 10^-11 m

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8 x 10^-10 m

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1 x 10^-58 m

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1 x 10^-9 m

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3 x 10^-59 m

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3.Which of the following is a valid set of quantum numbers? (select all that apply)

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Group of answer choices

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(5,1,1,-1/2)

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(4,2,2,-1/2)

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(4,1,1,-1/2)

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(-2,1,1,-1/2)

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(0,0,0,-1/2)

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4. Which of the following is a valid set of quantum numbers? (select all that apply)

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Group of answer choices

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(0,0,0,-1/2)

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(1,0,0,-1)

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(1,0,0,+1/2)

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(6,1,-1,-1/2)

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(5,2,3,+1/2)

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5.What set of quantum numbers describes the electron represented by the thick arrow in red?

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[Xe]

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Group of answer choices

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(3, 3, 0, -1/2)

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(5, 3, 3, -1/2)

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(5, 2, 0, -1/2)

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(5, 4, 3, +1/2)

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6.Calculate the wavelength of an electron that travels at 8.6 x 10⁶ m/s. (Enter your answer in decimal form to two significant figures. Do not enter units since they are already given.)

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Calculate the wavelength of a photon with a frequency of 1.7 x 10¹⁷ Hz. (Enter your answer in decimal form to two significant figures. Do not enter units since they are already given.)

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7.Calculate the wavelength of electromagetic energy with a frequency of 31.70 kHz.

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Group of answer choices

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9.503 x 10¹⁵ nm

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9.457 x 10¹⁸ nm

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9.457 x 10¹² nm

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9.457 x 10⁶ nm

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9.503 x 10¹² nm

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8. A mole of identical photons has an energy of 4.437 kJ/mol. Calculate the wavelength of one of the photons.

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Group of answer choices

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2.696 x 10^-5 m

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1.112 x 10¹³ m

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4.477 x 10^-11 m

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2.234 x 10¹⁰ m

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6.696 x 10¹⁸ m

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9.A mole of identical photons has an energy of 28.72 kJ/mol. Calculate the frequency of one of the photons.

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Group of answer choices

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4.334 x 10¹⁷ Hz

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7.198 x 10¹³ Hz

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4.165 x 10^-6 Hz

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1.389 x 10^-14 Hz

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6.916 x 10^-10 Hz

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10.calculate the wavelength of electromagetic energy with a frequency of 6.174 MHz.

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Group of answer choices

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4.856 x 10²² nm

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4.856 x 10⁷ nm

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1.851 x 10¹⁵ nm

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1.851 x 10¹² nm

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4.856 x 10¹⁰ nm

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11.A photon has an energy of 6.841 x 10^-21 J. Calculate the wavelength of the photon.

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Group of answer choices

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1.032 x 10¹³ m

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2.904 x 10^-5 m

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1.714 x 10¹³ m

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3.444 x 10⁴ m

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1.749 x 10^-5 m

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12.Calculate the energy of a photon with a frequency of 173.3 GHz.

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Enter your answer in scientific notation to 4 significant figures. Do not enter units since they are already given. Do not enter spaces. Use the format as indicated:

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Example: 123456 m

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Enter: 1.235×10^4

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Calculate the energy of a mole of the same photons. Use the same scientific notation format as indicated above.

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kJ/mol

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Order the following types of electromagnetic energy in order of increasing energy.

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UV, red light, green light, radio waves, X-rays, microwaves

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(highest energy) to lowest energy

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The thereshold frequency of a metal is 4.98 x 10¹⁵ Hz. Calculate the kinetic energy of an electron ejected from the metal when it is irradiated with light of wavelength 11.4 nm.

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Group of answer choices

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3.30 x 10^-18 J

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2.07 x 10^-17 J

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1.74 x 10^-17 J

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1.41 x 10^-17 J

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8.51 x 10⁶ J

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When a metal is irradiated with light of wavelength 169.7 nm, the maximum velocity of an ejected electron is 1.39 x 10⁶ m/s. Calculate the thereshold frequency of the metal.

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Group of answer choices

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4.38 x 10¹⁴ Hz

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2.05 x 10^-18 Hz

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8.80 x 10^-16 Hz

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1.33 x 10¹⁸ Hz

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2.90 x 10^-19 Hz

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What is the best description of how electrons are arranged in atoms?

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Group of answer choices

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Electrons exist in clouds of space defined by where they have the highest probability of existing.

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Electrons orbit the atom nucleus like planets orbit the sun.

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Electrons exist within the boundaries of an atom like raisins exist in a muffin (Plum pudding model).

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Electrons exist in the nucleus of the atom where they neutralize the positive charge of protons.

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What was used to explain the quantized energy level of electrons in a hydrogen atom in the Bohr model of an atom?

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Group of answer choices

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The Heisenberg Uncertainty Principle only allowed certain electron energies.

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The Schrodinger equation limited the energies of electrons.

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Energies of electrons were modeled after the energies of plants orbiting the sun.

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Electrons could only exist in energy states where their de Broglie wavelength constructively interfered.

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Calculate the wavelength of light that is emitted when an electron in a hydrogen atom relaxes from n=9 to n=5.

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Group of answer choices

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3.034 x 10^-4 nm

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3.296 x 10^-6 nm

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3.034 x 10⁵ nm

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3.296 x 10³ nm

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6.029 x 10¹⁶ nm

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