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12.Kinetic Theory of Gases
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What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature $T$?
A
${k}_{{B}} {T}$
B
$\frac{3}{2} {k}_{{B}} {T}$
C
$\frac{2}{3} {k}_{{B}} T$
D
$\frac{1}{2} {k}_{{B}} T$
Solution
As per Equi-partition law $:$
Each degree of freedom contributes
$\frac{1}{2} {k}_{{B}}$ $T$ Average Energy
In monoatomic gas $D.O.F.$ $=3$
$\Rightarrow$ Average energy $=3 \times \frac{1}{2} {k}_{{B}} T=\frac{3}{2} {k}_{{B}} T$
Standard 11
Physics
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