Which statements are correct about degrees of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Statement $A$ is incorrect because energy is stored in each degree of freedom independently,not as $n^2$.Statement $B$ is correct according to the

Vedclass · Accepted Answer

$B$ and $D$ only

Vedclass · Answer

(B) Statement $A$ is incorrect because energy is stored in each degree of freedom independently,not as $n^2$.Statement $B$ is correct according to the Law of Equipartition of Energy,which states that each degree of freedom contributes $\frac{1}{2} RT$ per mole to the internal energy.Statement $C$ is incorrect because a monoatomic gas molecule has $0$ rotational degrees of freedom,while a diatomic molecule has $2$ rotational degrees of freedom.Statement $D$ is correct. $CH_{4}$ is a non-linear polyatomic molecule. The total degrees of freedom $f$ for a non-linear molecule with $N$ atoms is $3N$. For $CH_{4}$,$N=5$,so $f = 3 	imes 5 = 15$. However,if we consider rigid molecules at moderate temperatures,the degrees of freedom are $3$ (translational) $+ 3$ (rotational) $= 6$. Thus,$D$ is considered correct in the context of rigid body dynamics.Therefore,$B$ and $D$ are the correct statements.

Similar Questions

The ratio of specific heats of a gas is $\frac{9}{7}$. The number of degrees of freedom of the gas molecules for translational motion is:

The translational degrees of freedom $(f_t)$ and rotational degrees of freedom $(f_r)$ of a $CH_4$ molecule are:

The specific heats,$C_P$ and $C_V$ of a gas of diatomic molecules,$A$,are given (in units of $J\, mol^{-1}\, K^{-1}$) by $29$ and $22$,respectively. Another gas of diatomic molecules,$B$,has the corresponding values $30$ and $21$. If they are treated as ideal gases,then:

The total thermal energy associated with $200 \, g$ of oxygen at $27 \, ^\circ C$ is ......... $J$. (Assume oxygen molecules as rigid rotators.)

Degree of freedom of a gas depends on which factors?

Vedclass Test Series

Exam Paper Generator

Online Exam Module