By what factor does the rms speed of a molecule change if the temperature is increased from 20 C to 100 C?

Question

By what factor does the rms speed of a molecule change if the temperature is increased from 20 C to 100 C?

Answer 1

The rms speed of a molecule is defined as: sqrt((3*RT)/Mm), where R is the Molar gas constant, T is the temperature in Kelvin and Mm is the Molar mass.  Since 20 C =293.15 K and 100 C = 373.15 K and R and Mm remain the same, the speed change factor would be sqrt(373.15/293.15) = 1.12823.