The average translational kinetic energy of O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2 (molar mass 28) molecules in eV at the same temperature is

Question

The average translational kinetic energy of O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2 (molar mass 28) molecules in eV at the same temperature is (A) 0.0015 (B) 0.003 (C) 0.048 (D) 0.768

Tardigrade Admin · Accepted Answer

Given, E O 2=0.048 eV We know that, Translational kinetic energy, E =(3/2) KT where, k = Boltzmann constant T =Temperature ∴ E propto T Since, the temperature is same for both oxygen and nitrogen therefore, E O 2= E N 2 ∴ E N 2=0.048 eV

Q. The average translational kinetic energy of $O_{2}$ (molar mass $32$ ) molecules at a particular temperature is $0.048 e V$ . The translational kinetic energy of $N_{2}$ (molar mass $28$ ) molecules in $e V$ at the same temperature is

0.0015

0.003

0.048

0.768

Given,
$E_{O_{2}} = 0.048 e V$
We know that,
Translational kinetic energy,
$E = \frac{3}{2} K T$
where, $k =$ Boltzmann constant
$T =$ Temperature }
$∴ E \propto T$
Since, the temperature is same for both oxygen and nitrogen
therefore, $E_{O_{2}} = E_{N_{2}}$
$∴ E_{N_{2}} = 0.048 e V$

Q. The average translational kinetic energy of O2​ (molar mass 32) molecules at a particular temperature is 0.048eV. The translational kinetic energy of N2​ (molar mass 28) molecules in eV at the same temperature is