Answer:
minimum of 1.7 10⁵ K
Explanation:
To determine the temperature at which the air is changed to plasma we use the ratio of energy and absolute temperature
E = K T
Where K is the Bolztmann constant that is worth 1.38 10⁻²³ J /K and T the absolute temperature
The air is mainly composed of nitrogen and oxygen, the ionization energy of these elements are in the periodic table
Nitrogen E = 14.53 eV
Oxygen E = 13.62 eV
Let's reduce to SI units
E = 14.53 (1.6 10⁻¹⁹ J / 1eV) = 23.246 10⁻¹⁹J
E = 13.62 eV = 21.648 10-19 J
T = E / K
Nitrogen
T = 23,246 10⁻¹⁹ / 1.38 10⁻²³
T = 16.8 10⁴ K
Oxygen
T = 21.648 10⁻¹⁹ / 1.38 10⁻²³
T = 15.7 10⁴K
Therefore, to ionize all the atmospheric gas, we must reach a minimum of 1.7 10⁵ K