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The average kinetic energy of a helium atom at 30°C is:

A

Less than 1 eV

B

A few KeV

C

50-60 eV

D

13.6 eV

Step-by-Step Solution

The average kinetic energy (EE) of a monoatomic gas atom (like Helium) is given by the formula E=32kBTE = \frac{3}{2} k_B T. Given temperature T=30C=30+273.15=303.15 KT = 30^\circ\text{C} = 30 + 273.15 = 303.15 \text{ K} . The Boltzmann constant kB1.38×1023 J K1k_B \approx 1.38 \times 10^{-23} \text{ J K}^{-1} . Substituting the values: E=32×(1.38×1023 J K1)×303.15 K6.27×1021 JE = \frac{3}{2} \times (1.38 \times 10^{-23} \text{ J K}^{-1}) \times 303.15 \text{ K} \approx 6.27 \times 10^{-21} \text{ J}. To convert this energy into electron-volts (eV), we use the conversion factor 1 eV=1.602×1019 J1 \text{ eV} = 1.602 \times 10^{-19} \text{ J} : EeV=6.27×10211.602×10190.039 eVE_{\text{eV}} = \frac{6.27 \times 10^{-21}}{1.602 \times 10^{-19}} \approx 0.039 \text{ eV}. This value is significantly less than 1 eV.

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