Root Mean Square Velocity Calculator

Calculate Molecular Speeds and Kinetic Energy

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RMS Velocity Calculator

Calculate root mean square velocity of gas molecules.

RMS Velocity: - m/s

Kinetic Energy Calculator

Calculate average kinetic energy of gas molecules.

Average Kinetic Energy: - J

Velocity Distribution Calculator

Calculate most probable and average velocities.

Velocity Distribution: -

Understanding RMS Velocity

What is RMS Velocity?

Key concepts of molecular motion:

  • Statistical average
  • Temperature dependence
  • Mass dependence
  • Energy relationships

Maxwell-Boltzmann Distribution

Understanding velocity distribution:

  • Most probable velocity
  • Average velocity
  • RMS velocity
  • Distribution shape

Kinetic Energy

Energy relationships:

  • Temperature dependence
  • Equipartition theorem
  • Molecular motion
  • Energy distribution

Applications

RMS velocity is important for:

  • Gas behavior prediction
  • Reaction kinetics
  • Diffusion processes
  • Temperature measurement
  • Gas separation

Essential RMS Velocity Formulas

RMS Velocity

v_rms = √(3RT/M)

Where R is gas constant

Kinetic Energy

KE = (3/2)kT

Per molecule

Most Probable Velocity

v_mp = √(2RT/M)

Peak of distribution