Which statements are correct about degrees of freedom? A. A molecule with n degrees of freedom has n 2 different ways of storing energy. B. Each degree of freedom is associated with 1 2 R T average en

Question

Which statements are correct about degrees of freedom?

A. A molecule with $n$ degrees of freedom has $n^{2}$ different ways of storing energy.

B. Each degree of freedom is associated with $\frac{1}{2} R T$ average energy per mole.

C. A monoatomic gas molecule has $1$ rotational degree of freedom where as diatomic molecule has $2$ rotational degrees of freedom

D. ${CH}_{4}$ has a total to $6$ degrees of freedom.

Choose the correct answer from the option given below:

TestHub · Accepted Answer

According to the equipartition of energy, each degree of freedom carries $\frac{1}{2} R T$ energy per mole and total energy per mole of a gas having $n$ degrees of freedom is $\frac{1}{2} n R T$ . Therefore, statement A is wrong and statement B is correct.
A monoatomic molecule only has translational degrees of freedom and does not have rotational degree of freedom. For a polyatomic model there are three rotational degrees of freedom and three translational degrees of freedom. Therefore, statement C is incorrect and statement D is correct.

Physics - Heat & Thermo Question with Solution | TestHub

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