Answer to Question #143607 in Molecular Physics | Thermodynamics for Nicodemus Mwendwa

Question

For nitrogen the molar volume at s.t.p is 0.0024m³ and the relative molecular mass is 28. Calculate the root mean square molecular speed at s.t.p

Answer 1

$V_m=\frac{RT}{p}$

$v=\sqrt{\frac{3RT}{M}}=\sqrt{\frac{3pV_m}{M}}=\sqrt{\frac{3\cdot1.01\cdot10^5\cdot2.4\cdot10^{-3}}{28\cdot10^{-3}}}=161$ $\frac ms$