压缩因子计算器 — 公式

Root-Mean-Square Speed

Formula

v_rms = √(3RT / M)

Where:

  • v_rms = root-mean-square speed (m/s)
  • R = 8.314 J/(mol·K)
  • T = temperature (K)
  • M = molar mass (kg/mol)

    • RMS speed is slightly higher than the average molecular speed due to the squaring in the averaging.

    计算示例

    Calculate the RMS speed of N₂ molecules (M = 0.028 kg/mol) at 298 K.

    1. v_rms = √(3RT/M)
    2. v_rms = √(3 × 8.314 × 298 / 0.028)
    3. v_rms = √(7434.6 / 0.028)
    4. v_rms = √(265521)
    5. v_rms = 515.3 m/s