Answer:
See explanation
Explanation:
The tranlational energy of a molecule is obtained by; ET
=3/2
kT
T is the temperature while k is the Boltzmann constant (k)
The Boltzmann constant (kB) relates temperature to energy.
Substituting values;
ET
= 3/2 (1.3807 × 10−23 joule/K) * (22 + 273)K
ET
= 6.11 * 10^-21 J
The average translational kinetic energy per molecule= 6.11 * 10^-21 J/ 3.01*10^24 molecules = 2.03 * 10^-45 J per molecule
<u>vrms = √</u>3RT/M
vrms = √3 * 8.314 * 295/32
vrms = 15.2 m/s
Most probable speed = √2RT/M
Most probable speed = √2 * 8.314 * 295/32
Most probable speed = 12.38 m/s