A 0.10-m³ gas tank holds 5.0 moles of nitrogen gas (N₂), at a temperature of 370 K. The atomic mass of nitrogen is 14 g/mol, the molecular radius is 3.0 × 10^-10 m, and the Boltzmann constant is 1.38 × 10^-23J/K. The root-mean-square speed (thermal speed) of the molecules is closest to

Question

Quizplus · Accepted Answer

The root-mean-square speed $ v_{rms} $ is calculated using the formula $ v_{rms} = \sqrt{\frac{3kT}{m}} $, where $ k $ is the Boltzmann constant, $ T $ is the temperature, and $ m $ is the mass of one molecule. For nitrogen, $ m = \frac{28 \times 10^{-3}}{6.022 \times 10^{23}} $ kg. Plugging in the values, $ v_{rms} \approx 570 $ m/s.

A 010-M3 Gas Tank Holds 5

A 010-M³ Gas Tank Holds 5