Degree of freedom of a gas depends on which factors?

  • A
    Only temperature
  • B
    Only atomicity
  • C
    Atomicity and temperature
  • D
    Pressure and volume

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For a gas, $\frac{R}{C_v} = 0.4$, where $R$ is the universal gas constant and $C_v$ is the molar specific heat at constant volume. The gas is made up of molecules which are

$A$ diatomic gas consisting of rigid molecules is at a temperature of $87^{\circ} C$. If the moment of inertia of the rotating diatomic rigid molecule is $2.76 \times 10^{-46} kg \cdot m^2$,then the rms angular speed of the molecule is (Boltzmann constant $= 1.38 \times 10^{-23} J \cdot K^{-1}$)

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 $\frac{1}{2} RT$ average energy per mole.
$C.$ $A$ monoatomic gas molecule has $1$ rotational degree of freedom whereas a diatomic molecule has $2$ rotational degrees of freedom.
$D.$ $CH_{4}$ has a total of $6$ degrees of freedom.
Choose the correct answer from the options given below:

The ratio of specific heat at constant pressure to specific heat at constant volume $(\gamma)$ for a gas is given by $\gamma = 1 + \frac{2}{f}$,where $f$ is the number of degrees of freedom of a molecule of the gas. What is the ratio of $\gamma_{d}$ for a rigid diatomic gas to $\gamma_{m}$ for a monoatomic gas?

What is the degree of freedom of a honey bee flying in a room?

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