At what temperature will the RMS speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule (m) = 2.76 × 10^–26 kg Boltzmann's constant k_B = 1.38 × 10^–23 JK^–1)

8.360 x 10⁴ K

\(V_{escape} = 11200 m/s\)

Let T be the temperature at which it attains velocity \(V_{escape}\)

\(\sqrt{\frac{3 k_B T}{m_{O_{2}}}}\) = 11200 m/s

T = 8.360 x 10⁴ K