3. Which of the following sets of quantum numbers, do the following: i. If correct, draw an orbital diagram depicting the location of the electron. ii. In incorrect, state why it is incorrect. a. n=4, 1=1, m=1, m₁= +1/2 b. n=2, 1=1, m=-1, ms= -1 c. n=5, 1-3, m=2, m₁= +1/2 d. n-3, 1-2, m=2, m₁= -1/2

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Please help with question 3
Be sure to have your electromagnetic spectrum readily available (Chapter 11 in text).

1. A carbon–oxygen double bond in a certain organic molecule absorbs radiation that has a frequency of \(6.0 \times 10^{13} \, \text{s}^{-1}\).
   a. What is the wavelength of this radiation in nm?
   
   b. To what region of the spectrum does this radiation belong?
   
   c. What is the energy of this radiation per photon?
   
   d. A carbon–oxygen bond in a different molecule absorbs radiation with frequency equal to \(5.4 \times 10^{13} \, \text{s}^{-1}\). Is this radiation more or less energetic? Support your claim.

2. Determine the de Broglie Wavelength in nm an electron \( (9.11 \times 10^{-31} \, \text{kg}) \) with a velocity 15.0% of the speed of light.

3. Which of the following sets of quantum numbers, do the following:
   i. If correct, draw an orbital diagram depicting the location of the electron.
   
   ii. If incorrect, state why it is incorrect.
   - a. \(n=4\), \(l=1\), \(m_l=1\), \(m_s=+1/2\)
   - b. \(n=2\), \(l=1\), \(m_l=-1\), \(m_s=-1\)
   - c. \(n=5\), \(l=3\), \(m_l=2\), \(m_s=+1/2\)
   - d. \(n=3\), \(l=2\), \(m_l=2\), \(m_s=-1/2\)
Transcribed Image Text:Be sure to have your electromagnetic spectrum readily available (Chapter 11 in text). 1. A carbon–oxygen double bond in a certain organic molecule absorbs radiation that has a frequency of \(6.0 \times 10^{13} \, \text{s}^{-1}\). a. What is the wavelength of this radiation in nm? b. To what region of the spectrum does this radiation belong? c. What is the energy of this radiation per photon? d. A carbon–oxygen bond in a different molecule absorbs radiation with frequency equal to \(5.4 \times 10^{13} \, \text{s}^{-1}\). Is this radiation more or less energetic? Support your claim. 2. Determine the de Broglie Wavelength in nm an electron \( (9.11 \times 10^{-31} \, \text{kg}) \) with a velocity 15.0% of the speed of light. 3. Which of the following sets of quantum numbers, do the following: i. If correct, draw an orbital diagram depicting the location of the electron. ii. If incorrect, state why it is incorrect. - a. \(n=4\), \(l=1\), \(m_l=1\), \(m_s=+1/2\) - b. \(n=2\), \(l=1\), \(m_l=-1\), \(m_s=-1\) - c. \(n=5\), \(l=3\), \(m_l=2\), \(m_s=+1/2\) - d. \(n=3\), \(l=2\), \(m_l=2\), \(m_s=-1/2\)
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