H2 Physics 12 - Temperature & Ideal Gases: Finding the r.m.s. Speed

What you will learn

• Nitrogen at 300 K with molar mass 28.0 g/mol; goal is the root-mean-square molecular speed.
• Kinetic theory: 1/2 m c_rms^2 = 3/2 k_B T, so c_rms = square root of (3 k_B T / m).
• Mass of one molecule m = M / N_A = 0.0280 / 6.02 x 10^23 = 4.65 x 10^-26 kg.