Compute the root-mean-square speed of Ne molecules in a sample of neon gas at a temperature of 141°C.

Answer 1

Root mean square velocity = u = √3RT/M

R = 8.3145 (kg·m ²/sec ²)/K·mol

T = temperature in K = 141ºC + 273.15 = 414.15K

M = molar mass of Ne in kilograms = 20.18 g/mol x 1 kg/1000 g = 0.02018 kg/mol

u = √(3)(8.314)(414.15) / 0.02018

u = √511,880

u = 715 m/sec