Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Question:**
How much is the energy of CO₂ increased when it absorbs infrared radiation with a wavenumber of 2300 cm⁻¹?
**Explanation:**
This question relates to the absorption of infrared radiation by carbon dioxide (CO₂) molecules, a crucial process in understanding greenhouse gas effects and molecular spectroscopy. The wavenumber is given as 2300 cm⁻¹, which is a measure of frequency in the infrared spectrum. To determine the energy increase, we can use the formula:
\[ E = h \times c \times \text{wavenumber} \]
where:
- \( E \) is the energy,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \text{ Js}\)),
- \( c \) is the speed of light (\(3.00 \times 10^8 \text{ m/s}\)), and
- the wavenumber is given in cm⁻¹ and needs to be converted to m⁻¹ by multiplying by 100.
In the absence of graphical or diagrammatic representation, this text is best accompanied by mathematical calculations and explanatory notes detailing the steps for solving the question regarding CO₂'s energy increase upon absorbing this specific infrared radiation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F773711d9-15ab-4ebd-b211-4dc06ccf5abd%2F146376ef-4a3c-4ec3-bea3-5629c46a90a7%2Fnonbbt9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
How much is the energy of CO₂ increased when it absorbs infrared radiation with a wavenumber of 2300 cm⁻¹?
**Explanation:**
This question relates to the absorption of infrared radiation by carbon dioxide (CO₂) molecules, a crucial process in understanding greenhouse gas effects and molecular spectroscopy. The wavenumber is given as 2300 cm⁻¹, which is a measure of frequency in the infrared spectrum. To determine the energy increase, we can use the formula:
\[ E = h \times c \times \text{wavenumber} \]
where:
- \( E \) is the energy,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \text{ Js}\)),
- \( c \) is the speed of light (\(3.00 \times 10^8 \text{ m/s}\)), and
- the wavenumber is given in cm⁻¹ and needs to be converted to m⁻¹ by multiplying by 100.
In the absence of graphical or diagrammatic representation, this text is best accompanied by mathematical calculations and explanatory notes detailing the steps for solving the question regarding CO₂'s energy increase upon absorbing this specific infrared radiation.
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