Question

calculate the RMS velocity of oxygen molecules at NTP (Density of oxygen = 1.43 kg/m³ Density of mercury = 13600 kg/m³, g = 9.8 m/s²), Normal atmospheric pressure = 76 cm of Hg.

Answer 1

Dear student

$$\begin{gathered} u\sin gformulaofrmsspeed \\ {v}_{rms}=\sqrt{\frac{3P}{\rho }}=\sqrt{\frac{3\times {\rho }_{hg}\times g\times h}{{\rho }_{oxygen}}}=\sqrt{\frac{3\times 13600\times 9.8\times 0.76}{1.43}}=460.97\approx 461m/s \\ Regards \end{gathered}$$