In a helium ion He⁺, the energy required to excite an electron from the ground state (𝑛 = 1) to the first excited state (𝑛 = 2) is 40.8 eV. Determine the temperature at which the average kinetic energy of a helium ion is sufficient to excite an electron from the 𝑛 = 1 state to the 𝑛 = 2 state. Use Boltzmann constant k = 8.617 × 10⁻⁵ eV/K.

• A. $3.16\times 10^5\mathrm{~K}$
• B. $9.47\times 10^5\mathrm{~K}$
• C. $2.23\times 10^6\mathrm{~K}$
• D. $3.61\times 10^6\mathrm{~K}$