Solution Found!
Calculate the total thermal energy in a gram of lead at
Chapter 1, Problem 24P(choose chapter or problem)
Problem 24P
Calculate the total thermal energy in a gram of lead at room temperature, assuming that none of the degrees of freedom are “frozen out” (this happens to be a good assumption in this case).
Questions & Answers
QUESTION:
Problem 24P
Calculate the total thermal energy in a gram of lead at room temperature, assuming that none of the degrees of freedom are “frozen out” (this happens to be a good assumption in this case).
ANSWER:
Step 1 of 3
In this question, we are asked to find the thermal energy of a gram of lead at room temperature with none of the degrees of freedom frozen out.
To find the thermal energy we will use the Equipartition theorem which states that,
At temperature T, the average energy of any quadratic degree of freedom is given by
For a system with N particles and with degree of freedom f, with no other forms of energy (Non-quadratic) dependent on temperature then the thermal energy is given by,
k=Boltzmann constant
T= Temperature
N=Number of molecules
f=Degrees of freedom