Five gas molecules are found to have speeds of 100, 200, 300, 400, and 500 m/s. The rms speed (in m/s) is

Question

Quizplus · Accepted Answer

The root mean square (rms) speed is calculated using the formula: sqrt[(1/n) * Σ(v_i^2)], where v_i is the speed of each molecule and n is the total number of molecules. For the given speeds, the calculation is sqrt[(1/5) * (100^2 + 200^2 + 300^2 + 400^2 + 500^2)] = sqrt[(1/5) * (10000 + 40000 + 90000 + 160000 + 250000)] = sqrt[(1/5) * 550000] = sqrt[110000] ≈ 331.66 m/s, which rounds to 330 m/s.

Five Gas Molecules Are Found to Have Speeds of 100