RMS molecular speed calculator

u_rms = √(3RT/M) with M in g/mol and T in K.

Calculator

Model / formula

u_rms = √(3RT/M) — M in g/mol, T in K, ideal monatomic gas model

Molar mass M (g/mol)

Temperature (K)

Result

u_rms = 515.2744 m/s

$$u_{\text{rms}} = \sqrt{\frac{3RT}{M}}$$

M in g/mol; kinetic-theory model.

Educational use only. Double-check values for labs, homework, and exams.