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 value of $\gamma \left( = \frac{C_{p}}{C_{v}} \right)$ for hydrogen,helium,and another ideal diatomic gas $X$ (whose molecules are not rigid but have an additional vibrational mode) are respectively equal to:

The number of rotational degrees of freedom of a diatomic molecule is:

If the internal energy of $3$ moles of a gas at a temperature of $27^{\circ} C$ is $2250 R$,then the number of degrees of freedom of the gas is (where $R$ is the universal gas constant).

The degrees of freedom of a stationary rigid body rotating about its axis will be

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module