Indicate the correct statement for a 1 L sam | vedclass

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(D) The average translational kinetic energy $(KE)$ per molecule is given by $\frac{3}{2}kT$,which depends only on temperature. Since both gases are a

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All of the above.

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(D) The average translational kinetic energy $(KE)$ per molecule is given by $\frac{3}{2}kT$,which depends only on temperature. Since both gases are at $298 \ K$,their average translational $KE$ per molecule is the same.According to Avogadro's Law,at the same temperature and pressure,equal volumes of gases contain the same number of molecules $(n)$. Since $KE_{total} = n 	imes (	ext{average } KE 	ext{ per molecule})$,the total translational $KE$ is also the same.Density $(d)$ is given by $d = \frac{PM}{RT}$. Since $P$,$T$,and $R$ are constant,$d \propto M$. The molar mass of $N_2$ $(28 \ g/mol)$ is less than that of $CO_2$ $(44 \ g/mol)$,so the density of $N_2$ is less than that of $CO_2$.Therefore,all statements are correct.

Indicate the correct statement for a $1 \ L$ sample of $N_{2(g)}$ and $CO_{2(g)}$ at $298 \ K$ and $1 \ atm$ pressure.

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