The temperature

CHEMISTRY · Single correct · ISC · Physics · Gravitation · Escape velocity

Problem

The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to : [Boltzmann Constant kB=1.38×10−23 J/Kk_B = 1.38 \times 10^{-23} \text{ J/K} Avogadro Number NA=6.02×1026/kgN_A = 6.02 \times 10^{26} / \text{kg} Radius of Earth : 6.4×106 m6.4 \times 10^6 \text{ m} Gravitational acceleration on Earth = 10 ms−210 \text{ ms}^{-2} ] (1) 800 K (2) 3×1053 \times 10^5 K (3) 10410^4 K (4) 650 K

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