What is the kinetic energy of 1 , g of CO_2 ( | vedclass

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

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$7/88 NkT$

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(D) The total kinetic energy $E$ of a gas is given by $E = \mu \frac{f}{2} RT$,where $\mu$ is the number of moles,$f$ is the degrees of freedom,$R$ is the universal gas constant,and $T$ is the absolute temperature.Since $R = N_A k$,we can write $E = \mu \frac{f}{2} N_A k T = n \frac{f}{2} kT$,where $n$ is the total number of molecules.For $CO_2$,which is a linear triatomic molecule,the degrees of freedom $f = 7$ ($3$ translational + $2$ rotational + $2$ vibrational).The molar mass $M$ of $CO_2$ is $12 + 2(16) = 44 \, g/mol$.The number of moles $\mu = \frac{m}{M} = \frac{1}{44} \, mol$.Substituting these values: $E = \frac{1}{44} 	imes \frac{7}{2} NkT = \frac{7}{88} NkT$.

What is the kinetic energy of $1 \, g$ of $CO_2$ $(O-C-O)$?

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