question_answer

The temperature (in kelvin), at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is [Boltzmann Constant \[{{k}_{B}}=1.38\times {{10}^{-23}}J/K\] Avogadro Number\[{{N}_{A}}=6.02\times {{10}^{26}}/Kg\] Radius of Earth:\[~6.4\text{ }\times \text{ }{{10}^{6}}\text{ }m\] Gravitational acceleration on\[Earth=10\text{ }m{{s}^{-2}}\]

Answer:

\[({{10}^{4}})\]