The results are shown below T(K) 5,000 000 7,000 8,000 10,000 12,000 14,000 16,000 nm 147×1024122X1 1.048×1024918×10237.34×10236.12×1035.24×10234.59×1023 s(m3)1.68×1034.26x10152.30×1027470×10183.393x1 5104×102|2.55×1 )4.97×1017216×104906×102072×1021545×10215565×011.203×1021.716×102 34×10659x10547×10-400023 0.0215 0.1000 0.298 c(m/s)4.39×105481×105520×1055.56×105621×1056.80×105.35×1057.86×10 Ina 5.68 05 6.36 662 7.07 744 7.74 8.01 a(s+)|1.46x10°1.72×1099.76x1093.51x10102.00×1031|5.77×1011.030×102|124×1012 van(s1)1.29×1011.15×1011.09×1011.02x101873x1010681x1010416×10101.82x100 v。(s1)1.29×101117×1011.19×1011.37x101287x1016.45×1011.072×102|1.262×1012 (S/m)1.09 17.4 116.3 426.7 1519 2434 3166 3836 Notice (a)Coulomb-dominated (v >>v)for T>8000 K (b)Rapid rise of ionization fraction a for 7000<t <10, 000 K 100 Si/m for T>7000 K (c) Conductivity above 1,000Si/m T>9000K Ohmic Dissipation -Stability, constriction The conductivity o increases rapidly with T in the fully Coulomb-dominated range 0.0153 (Te in K, o in Si/m) Notice also how, in this limit (which occurs at high temperature as a approaches the conductivity becomes independent of the kind of gas in question, except for 1) small influences hidden in In a 16.522, Space P pessan Lecture 10 Prof. Manuel martinez Page 6 of 12The results are shown below. T(K) 5,000 6,000 7,000 8,000 10,000 12,000 14,000 16,000 -3 ) 1.47x1024 1.22x1024 1.048x1024 9.18x1023 7.34x1023 6.12x1023 5.24x1023 4.59x1023 nm S(m-3) ( 1.68x1013 4.26x1015 2.30x1017 4.70x1018 3.393x1020 6.189x1021 5.104x1022 2.55x1023 -3 ) 4.97x1018 7.216x1019 4.906x1020 2.072x1021 1.545x1022 5.565x1022 1.203x1023 1.716x1023 n me ( α 3.4x10-6 5.9x10-5 4.7x10-4 0.0023 0.0215 0.1000 0.298 0.597 ce (m/s) 4.39x105 4.81x105 5.20x105 5.56x105 6.21x105 6.80x105 7.35x105 7.86x105 ln Λ 5.68 6.05 6.36 6.62 7.07 7.44 7.74 ν 8.01 ei (s-1) 1.46x108 1.72x109 9.76x109 3.51x1010 2.00x1011 5.77x1011 1.030x1012 1.244x1012 ν (s-1) 1.29x1011 1.15x1011 1.09x1011 1.02x1011 8.73x1010 6.81x1010 4.16x1010 1.82x1010 en ν (s-1) 1.29x1011 1.17x1011 1.19x1011 1.37x1011 2.87x1011 6.45x1011 1.072x1012 1.262x1012 e σ (Si/m) 1.09 17.4 116.3 426.7 1519 2434 3166 3836 Notice (a) Coulomb-dominated ( ν >> νen ) for T > 8000 K ei ∼ (b) Rapid rise of ionization fraction α for 7000 < T < 10, 000 K ∼ ∼ 100 Si/m for T > 7000 K ∼ (c) Conductivity above 1, 000 Si/m T > 9000 K ∼ Ohmic Dissipation - Stability, constriction The conductivity σ increases rapidly with T in the fully Coulomb-dominated range, 0.0153 T 3 2 e σ = (Te in K, σ in Si/m). ln Λ Notice also how, in this limit (which occurs at high temperature, as α approaches 1), the conductivity becomes independent of the kind of gas in question, except for small influences hidden in ln Λ. 16.522, Space Propulsion Lecture 10 Prof. Manuel Martinez-Sanchez Page 6 of 12