What is the average kinetic energy (in keV) of an ion that has a temperature of 108 K?
A)8.2
B)13
C)4.3
D)16
E)21

Question

What is the average kinetic energy (in keV) of an ion that has a temperature of 108 K? 
A)8.2 
B)13 
C)4.3 
D)16 
E)21

Quizplus · Accepted Answer

The kinetic energy of a particle can be calculated using the formula KE = (3/2)kT, where k is the Boltzmann constant and T is the temperature. Converting the temperature to kelvin gives T = 108 K. Substituting these values into the formula gives:
KE = (3/2)(1.38×10^-23 J/K)(108 K) = 2.3×10^-21 J
Converting this to keV gives:
KE = (2.3×10^-21 J)/(1.6×10^-19 J/keV) ≈ 14.4 keV
Therefore, the closest answer choice is B) 13 keV.

What Is the Average Kinetic Energy (In KeV) of an Ion