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Assumptions of KTG

Indicate the ...

Question

Indicate the correct statement for equal volumes of $N_{2} (g)$ and $C O_{2} (g)$ at $25^{\circ} C$ and $1 a t m$ .

The average translational

K E

per molecule is the same for

N_{2}

and

C O_{2}

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The

r m s

speed remains constant for both

N_{2}

and

C O_{2}

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The density of

N_{2}

is less than that of

C O_{2}

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The total translational

K E

of both

N_{2}

and

C O_{2}

is the same

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Solution

The correct options are
A The average translational $K E$ per molecule is the same for $N_{2}$ and $C O_{2}$
C The density of $N_{2}$ is less than that of $C O_{2}$
D The total translational $K E$ of both $N_{2}$ and $C O_{2}$ is the same
As volume and pressure are equal so average translational $K E$ per molecule is the same for $N_{2}$ and $C O_{2}$ .
But $r m s$ speed is different as it depends on molecular wt.
$u_{r m s} = \sqrt{\frac{3 R T}{M}}$ .
Also, total translational K.E. of both $N_{2}$ and $C O_{2}$ is the same.

Hence, Options "A", "C" & "D" are correct answers.

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Similar questions

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

N_{2} (g)

C O_{2} (g)

25^{\circ} C

K E

C O_{2}

27^{\circ} C

E

N_{2}

(¯ ¯¯¯¯¯¯¯ ¯ K E)

C O

C O_{2}

N_{2}

C O_{2}

N_{2}

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