Compute the root-mean-square speed of At molecules in a sample of argon gas at a temperature of 102C?

Answer 1

μ_rms = sqrt 3RT/M

R = 8.3145 J/mol-K

T = temperature in K = 102 = 273 = 375K

M = molar mass in kg/mol. For Ar this is 39.95/mol x 1kg/1000g = 0.03995 kg/mol

μ_rms = sqrt [(3 x 8.3145 x 375) / 0.0.03995)] = sqrt 234,138

μ_rms = 484 m/sec

(assuming I did the math correctly)