Define degree of freedom.

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(N/A) The degree of freedom is defined as the number of independent ways in which a molecule of a gas can possess energy or undergo motion.
The degree of freedom depends on the following factors:
$(1)$ The number of atoms in the molecule (atomicity).
$(2)$ The temperature of the gas (which determines the activation of vibrational modes).
Mathematically,the total number of independent quadratic terms in the expression for the total energy of a molecule is called its degree of freedom $(f)$.

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At $STP$,the speed of a sound wave in a gas is $330 \ m/s$ and the density of the gas is $1.3 \ kg/m^3$. Calculate the degrees of freedom $(f)$ of the gas.

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature $T$?

At standard temperature and pressure $(STP)$,the density of a gas is $1.3 \ kg/m^3$ and the speed of sound in the gas is $330 \ m/s$. The degree of freedom of the gas is:

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$Assertion :$ For a gas atom,the number of degrees of freedom is $3$.
$Reason :$ $\frac{C_P}{C_V} = \gamma $

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