Question: What is the root mean square speed of nitrogen gas (N2) at 300 K? (Molar mass of N2 = 28 g/mol)
Options:
Correct Answer: 500 m/s
Solution:
The root mean square speed is given by the formula v_rms = sqrt(3RT/M), where R = 8.314 J/(mol·K), T = 300 K, and M = 0.028 kg/mol. v_rms = sqrt(3 * 8.314 * 300 / 0.028) ≈ 500 m/s.