Which of the following expressions correctly represents the relationship between the average kinetic energy $(¯ ¯¯¯¯¯¯¯ ¯ K E)$ of $C O$ , $C O_{2}$ and $N_{2}$ molecules at the same temperature?

{¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O} > {¯ ¯¯¯¯¯¯¯ ¯ K E}_{N_{2}} > {¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O_{2}}

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{¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O_{2}} > {¯ ¯¯¯¯¯¯¯ ¯ K E}_{N_{2}} > {¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O}

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{¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O} = {¯ ¯¯¯¯¯¯¯ ¯ K E}_{N_{2}} = {¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O_{2}}

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{¯ ¯¯¯¯¯¯¯ ¯ K E}_{N_{2}} = {¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O} > {¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O_{2}}

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Solution

The correct option is C ${¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O} = {¯ ¯¯¯¯¯¯¯ ¯ K E}_{N_{2}} = {¯ ¯¯¯¯¯¯¯ ¯ K E}_{C O_{2}}$
As we know,
kinetic energy per molecule is
$K E / m o l e c u l e = ¯ ¯¯¯¯¯¯¯ ¯ K E = \frac{3}{2} \frac{R}{N} T = \frac{3}{2} k T$ independent of mass so it will be equal for all gases at the same temperature.
Option C is correct..

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Which of the following expressions correctly represents the relationship between the average kinetic energy (¯¯¯¯¯¯¯¯¯KE) of CO, CO2 and N2 molecules at the same temperature?

The correct option is C ¯¯¯¯¯¯¯¯¯KECO=¯¯¯¯¯¯¯¯¯KEN2=¯¯¯¯¯¯¯¯¯KECO2As we know,kinetic energy per molecule is KE/molecule=¯¯¯¯¯¯¯¯¯KE=32RNT=32kT independent of mass so it will be equal for all gases at the same temperature. Option C is correct..

Which of the following expressions correctly represents the relationship between the average kinetic energy $(¯ ¯¯¯¯¯¯¯ ¯ K E)$ of $C O$ , $C O_{2}$ and $N_{2}$ molecules at the same temperature?