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Which statements are correct about degrees of freedom?
(A) A molecule with \mathrm{n} degrees of freedom has \mathrm{n}^{2} different ways of storing energy.
(B) Each degree of freedom is associated with \mathrm{\frac{1}{2} RT} average energy per mole.
(C) A monatomic gas molecule has 1 rotational degree of freedom where as diatomic molecule has 2 rotational degrees of freedom.
(D) \mathrm{CH}_{4} has a total of 6 degrees of freedom.
Choose the correct answer from the options given below :
 

Option: 1

(B) and (C) only
 


Option: 2

(B) and (D) only
 


Option: 3

(A) and (B) only
 


Option: 4

(C) and (D) only


Answers (1)

best_answer

\rightarrow A molecule with \mathrm{n} degrees of freedom has \mathrm{n} different ways of storing energy.
\rightarrow Energy corresponding to each degree of freedom is \mathrm{\frac{1}{2}RT} per mole
\rightarrow Monoatomic gas has just three translational degrees and no rotational degree.
\rightarrow Diatomic gas has thee translational and two rotational degree if freedom
\rightarrow \mathrm{CH}_4  has three translational and three rotational degree of freedom

Hence 2 is correct option.

Posted by

Divya Prakash Singh

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