The average translation 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 temperature is :

Engineering

Physics

Degree of Freedom and Internal Energy of Gas

Question

The average translation 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 temperature is :

0.0015

0.003

0.048

0.768

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Given data :
Average translation K.E of O₂, EO₂ = 0.048 C_V
Molar mass of O₂ = 32
Molar mass of N₂ = 28

To find:
Translational KE of N₂, EN₂ = ?
from kinetic energy of gas

$E = \frac{3}{2} KT$

K = Boltzmann constant

T = Temperature

∴ E ∝ T

Since the temperature is same for both oxygen and nitrogen

∴ EO₂ = EN₂

∴EN₂ = 0.048 eV

Hence option (C) is correct.

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