CO_2 (O-C-O) is a triatomic gas. The mean kin | vedclass

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(D) The mean kinetic energy of a gas is given by $E = \frac{f}{2} \mu RT$,where $f$ is the degrees of freedom,$\mu$ is the number of moles,$R$ is the

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$(7/88)NkT$

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(D) The mean kinetic energy of a gas is given by $E = \frac{f}{2} \mu RT$,where $f$ is the degrees of freedom,$\mu$ is the number of moles,$R$ is the universal gas constant,and $T$ is the temperature.For a triatomic non-linear gas like $CO_2$ at moderate temperatures,the degrees of freedom $f = 7$ ($3$ translational,$2$ rotational,and $2$ vibrational).Given mass $m = 1 \ g$ and molecular weight $M = 44 \ g/mol$,the number of moles $\mu = \frac{m}{M} = \frac{1}{44}$.Using $R = Nk$,the expression becomes:$E = \frac{7}{2} 	imes \frac{1}{44} 	imes Nk 	imes T$$E = \frac{7}{88} NkT$.

$CO_2$ $(O-C-O)$ is a triatomic gas. The mean kinetic energy of one gram of the gas will be (where $N$ is Avogadro's number,$k$ is Boltzmann's constant,and the molecular weight of $CO_2 = 44$).

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