Answer :
Given:
The temperature is
[tex]T=\text{ 5.7}\times10^5\text{ K}[/tex]Required: Average kinetic energy
Explanation:
The average kinetic energy can be calculated by the formula
[tex]E_k=\frac{3}{2}k_BT[/tex]Here, the Boltzmann constant is
[tex]k_B=\text{ 1.38}\times10^{-23}\text{ J/K}[/tex]On substituting the values, the average kinetic energy will be
[tex]\begin{gathered} E_k=\frac{3}{2}k_BT \\ =\frac{3}{2}\times1.38\times10^{-23}\times5.7\times10^5 \\ =1.1799\times10^{-17}J \end{gathered}[/tex]Final Answer: The average kinetic energy of the helium atoms is 1.1799 x 10^(-17) J.