Question

Degree of freedom for polyatomic gas

• A. $\ge$ 4
• B. $\ge$ 5
• C. $\ge$ 6
• D. $\ge$ 7

Hint:

A polyatomic gas has 3 translational. 2 rotational degrees of freedom and 1 vibrational mode.

Answer 1

The Correct Option is C

A polyatomic gas has 3 translational, 2 rotational degrees of freedom, and 1 vibrational mode. Hence, the degree of freedom for polyatomic gas with more than 2 atoms in one molecule will be more than or equal to 6.

Hence, the Correct Option is C)

Discover More Topics From This Chapter: Kinetic Theory

Answer 2

The Correct Answer is (C)

Real Life Applications

Examples of polyatomic gases in the real world include:

•  Oxygen 
• Carbon dioxide 
• Ammonia
•  Methane 
• Vaporised water

Question can also be asked as

• What are the different types of degrees of freedom for a polyatomic gas molecule? 
• How do the degrees of freedom for a polyatomic gas molecule relate to its temperature? 
• How do the degrees of freedom for a polyatomic gas molecule relate to its specific heat capacity? 
• What are the different factors that can affect the degrees of freedom for a polyatomic gas molecule? 
• What are the applications of the degrees of freedom for polyatomic gas molecules?
• Why does a diatomic gas have 6 degrees of freedom, while a polyatomic gas has more than 6 degrees of freedom? 
• What happens to the degrees of freedom for a polyatomic gas molecule as the temperature increases?
• How does the number of vibrational degrees of freedom for a polyatomic gas molecule affect its specific heat capacity? 
• What is the effect of rotation on the degrees of freedom for a polyatomic gas molecule? How can the degrees of freedom for a polyatomic gas molecule be used to calculate its internal energy?

Answer 3

The Correct Answer is (C)

The entire number of independent coordinates needed to indicate a molecule's location or the total number of independent motions each molecule is capable of can be used to define the degree of freedom. 

• A molecule has one degree of freedom if it moves in a straight path.
• Monatomic gas molecules such as neon, argon, helium, and others have three degrees of freedom.
• O₂, N₂, H₂, and other diatomic molecules have six degrees of freedom.

How to calculate degrees of freedom?

• The sample size less the number of limitations is the statistic's degrees of freedom.
• The limitations are typically approximated parameters used as intermediary stages in the statistic calculation.
• n − r Where: The sample size is n. R is the number of limitations, which is typically equal to the number of estimated parameters.
• Negative degrees of freedom are not possible.

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Melting and Boiling Point	Dispersion Forces	Vaporization