CORRECT-INCORRECT STATEMENT In a container \( 10 \mathrm{~mol} \mathrm{~N}_{2} \) and \( 10 \mat...

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CORRECT-INCORRECT STATEMENT
In a container \( 10 \mathrm{~mol} \mathrm{~N}_{2} \) and \( 10 \mathrm{~mol} \) of \( \mathrm{CO}_{2} \) are present at \( 25^{\circ} \mathrm{C} \). Which of the following is incorrect statement?
(1) The average translational K.E. per molecule is the same for \( \mathrm{N}_{2} \) and \( \mathrm{CO}_{2} \)
(2) The RMS speed is the same for both \( \mathrm{N}_{2} \) and \( \mathrm{CO}_{2} \)
(3) The density of \( \mathrm{N}_{2} \) is less than that of \( \mathrm{CO}_{2} \)
(4) The total translational K.E. of both \( \mathrm{N}_{2} \) and \( \mathrm{CO}_{2} \) is the same.
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