Question

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

• A. The average translational KE per molecule is the same in and
• B. The rms speed remains constant for both and
• C. The density of is less than that of
• D. The total translational KE of both and is the same

Answer 1

Answer: (A), (C), (D)

The correct options are
A

The average translational KE per molecule is the same in and

C

The density of is less than that of

D

The total translational KE of both and is the same

Kinetic energies per molecule will be same because it is proportional to absolute temperature only.

$\frac{d_{N_2}}{d_{C{O}_2}}=\frac{M_{N_2}}{M_{C{O}_2}}=\frac{28}{44}i.e.d{N}_2<dC{O}_2$

Total translational kinetic energy will also be same because at same temperature & pressure number of molecules present in same volume would be same (according to Avogadro's Law)