Final answer:
The root mean square velocity of gaseous xenon atoms at 25°C can be calculated using the formula v = sqrt(2 kBT / m), where v is the velocity, kB is the Boltzmann constant, and T is the temperature in Kelvin.
Step-by-step explanation:
The root mean square velocity of gaseous xenon atoms at 25 °C can be calculated using the formula K = mv² = 2 kBT, where K is the kinetic energy, m is the mass, v is the velocity, kB is the Boltzmann constant, and T is the temperature in Kelvin. To solve for the root-mean-square (rms) velocity, we can rearrange the formula to v = sqrt(2 kBT / m). Given the temperature of 25 °C, which is 298 K, and the molar mass of xenon (131.293 g/mol), we can calculate the rms velocity of gaseous xenon atoms.