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19 August, 10:29

At sufficiently high temperatures, the thermal speeds of gas molecules may be high enough that collisions may ionize a molecule (that is, remove an outer electron). An ionized gas in which each molecule has lost an electron is called a "plasma." Determine approximately the temperature at which air becomes a plasma.

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  1. 19 August, 10:57
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    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
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