// multi-utility computation suite · offline · instant · precise
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sci.molecular-speed-distribution Calculator
Calculates the Maxwell-Boltzmann molecular speed distribution f(v) = 4π(m/2πkT)^(3/2) v² exp(−mv²/2kT) from temperature and molecular mass. For nitrogen at 25 °C, most-probable speed = 420 m/s, mean speed = 475 m/s, and rms speed = 515 m/s.
Inputs
Temperature K
Thermal state of the substance. Check whether the formula needs Celsius, Fahrenheit, or Kelvin (K = °C + 273.15).
Molar Mass G Mol
Mass of one mole of the substance (g/mol). Found by summing atomic weights. Converts between grams and moles.
Results
most probable speed (m/s)
The computed rate of movement or processing.
mean speed (m/s)
The computed rate of movement or processing.
RMS speed (m/s)
The computed rate of movement or processing.
v_mp : v_mean : v_rms
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.