The Bohr Model Worksheet - Answer Key

 

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  1. What is the Bohr model based on?

    The Bohr model is used the hydrogen emission spectrum to create an equation that was built on the idea that electrons could only occupy certain areas of space relative to the nucleus.

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  2. What is the equation?

    E = –2.178 x 10 – 18  J (Z2/n2)

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  3. What is the only applicable case to use the Bohr model?

    This equation is valid only for atoms with 1 electron. 

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  4. An electron is excited from ground state to n=3 state in a hydrogen atom.   Which of the following statements are true?  Correct any false statements.
    • It takes more energy to ionize (remove) the electron from n=3 than from ground state.

      False.  At n=3 it would be easier as the electrons are farther away from the nucleus (to which they are attracted). 
    • The electron is farther from the nucleus on average in the n=3 state than in ground state.

      True
    • The wavelength of light emitted if the electron drops from n=3 to n=2 is shorter that the wavelength of light emitted if the electron falls from n=3 to n=1

      False.  It would take more energy (therefore a shorter wavelength) to transition from n=3 to n=1
    • The wavelength of light emitted when the electron returns to the ground state from n=3 is the same as the wavelength of light absorbed from n=1 to n=3.

      True

     

     

  5. ­­­­­­­­­­­­­­­­­Does a photon of visible light (λ=400-700nm) have sufficient energy to excite an electron in a hydrogen atom from the n=1 to the n=5 energy state?

    Visible light would not be able to excite the electron in this way.

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  6. An excited hydrogen atom emits light with a wavelength of 397.2 nm to reach the energy level for which n=2.  In which principal quantum level did the electron begin?

    ni = 7                   

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  7. Consider an electron for a hydrogen atom in an excited state.  The maximum wavelength of electromagnetic radiation that can ionize the electron from the H atom is 1460 nm.  Determine the initial excited state for the electron.

    ni = 4

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