The average kinetic energy (E) of a monoatomic gas atom (like Helium) is given by the formula E=23kBT.
Given temperature T=30∘C=30+273.15=303.15 K .
The Boltzmann constant kB≈1.38×10−23 J K−1 .
Substituting the values:
E=23×(1.38×10−23 J K−1)×303.15 K≈6.27×10−21 J.
To convert this energy into electron-volts (eV), we use the conversion factor 1 eV=1.602×10−19 J :
EeV=1.602×10−196.27×10−21≈0.039 eV.
This value is significantly less than 1 eV.