Home/Basic Physics/Thermodynamics/Root-mean-square speed15. ThermodynamicsRoot-mean-square speedIn 15. ThermodynamicsFormulaCopy LaTeXvrms=3RTMv_{\text{rms}}=\sqrt{\frac{3RT}{M}}vrms=M3RTEquivalentlyCopy LaTeXvrms=3kBTmv_{\text{rms}}=\sqrt{\frac{3k_BT}{m}}vrms=m3kBTTagsphysicsphysics formulathermodynamicsDetailThe root-mean-square speed of the molecules is proportional to the square root of T.Found an error? Contact us.Related formulasRelatedMean molecular kinetic energy⟨K⟩=32kBT\langle K\rangle=\frac32k_BT⟨K⟩=23kBTOpen formulaOpen in section