Calculate the root mean square velocity of nitrogen molecules at 25 °C. A) 729 m s^-1 B) 515 m s^-1 C) 149 m s^-1 D) 297 m s^-1

Question

Quizplus · Accepted Answer

The root mean square velocity (v_rms) is calculated using the formula v_rms = sqrt(3RT/M), where R is the gas constant (8.314 J/mol·K), T is the temperature in Kelvin (298 K for 25 °C), and M is the molar mass of nitrogen in kg/mol (0.028 kg/mol). Plugging in these values gives v_rms ≈ 515 m/s.

Calculate the Root Mean Square Velocity of Nitrogen Molecules at 25