State the law of equipartition of energy.
(N/A) The law of equipartition of energy states that for a dynamic system in thermal equilibrium,the total energy of the system is distributed equally amongst all the degrees of freedom. The energy associated with each degree of freedom per molecule is $\frac{1}{2} k_B T$,where $k_B$ is the Boltzmann constant and $T$ is the absolute temperature of the system.
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For two different gases $X$ and $Y,$ having degrees of freedom $f_1$ and $f_2$ and molar heat capacities at constant volume $C_{v_1}$ and $C_{v_2}$ respectively, for an adiabatic process, the $\ln P$ versus $\ln V$ graph is plotted as shown:
Medium
View SolutionAn ideal gas is made of polyatomic molecules. Each of the molecules has three translational, three rotational and $f$ number of vibrational modes. If the ratio of heat capacities $C_p/C_v$ of the gas is $8/7$, then the value of $f$ is:
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View SolutionWhat will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature $T$? ($k_{B}$ is Boltzmann constant)
At a certain temperature,the degrees of freedom per molecule for a gas is $8$. The gas performs $150 \; J$ of work when it expands under constant pressure. The amount of heat absorbed by the gas will be $..... \; J$.
For polyatomic gases,the ratio of molar specific heat at constant pressure to constant volume is $(f=$ degrees of freedom $)$
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