Question

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature $T$? ($k_B$ is Boltzmann constant)

• A. $k_{B}T$
  
• B. $\frac{2}{3}{k}_{B}T$
  
• C. $\frac{3}{2}{k}_{B}T$
  
• D. $\frac{1}{2}{k}_{B}T$
  

Answer 1

The correct option is D $\frac{1}{2}{k}_{B}T$


Energy associated with each translational degree of freedom is $\frac{1}{2}{k}_{B}T$.