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How many total degrees of freedom for energy modes are available in methane gas? (Methane gas is CH4.)   a. 6   b. 5   c. 4   d. 3   e. 2

How many total degrees of freedom for energy modes are available in methane gas? (Methane gas is CH4.)   a. 6   b. 5   c. 4   d. 3   e. 2

Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
9th Edition
ISBN:9781337399425
Author:Steven S. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Donald J. DeCoste
Chapter10: Energy
Section: Chapter Questions
Problem 50QAP
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  1. How many total degrees of freedom for energy modes are available in methane gas? (Methane gas is CH4.)

      a.

    6
      b.

    5
      c.

    4
      d.

    3
      e.

    2
Expert Solution
Step 1 Theory

For a polyatomic molecule containing n atoms, total degree of freedom = 3n

Translational mode = 3

Rotational mode = 3

Vibrational mode = 3n-6

These mode together contribute to the energy of the molecules.

The contribution from vibrational mode is considered only at high temperature.

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