Question

6. There is a star with an atmosphere made of pure oxygen. Find the temperature at the middle of the O I partial ionization zone, where half of the O I atoms have been ionized. Oxygen ionization energies are x 13.6 eV and 35.1 eV, and partition functions are Z- 9.42 and Z 4.23

Answer 1

All the problem solving by using statistical physics in which Frist find the partition function in exponetial function of energy to more detail for the stistical physics to study any text book of statistical physics

We know that partition function Z = sigma Exp - E_i/k_BT Z_1 = Exp - 13.6/k_BT Z_2 = Exp - 35.1/k_BT The probability of ionization half the atom of oxygen atom. Z_1/Z_1 + Z_2 = 1/2 Exp - 13.6/k_BT Exp - 35.1/k_BT + Exp -B.6/k_BT = 1/2 K_B = 1.30 times 10^-23 times 1.6 times 10^-19 ev/kelvin, on putting the values we will get the middle of the temperature T = 313 K or = 40 degree C