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Calculate the total thermal energy in a liter of helium at
Chapter 1, Problem 23P(choose chapter or problem)
Problem 23P
Calculate the total thermal energy in a liter of helium at room temperature and atmospheric pressure. Then repeat the calculation for a liter of air.
Questions & Answers
QUESTION:
Problem 23P
Calculate the total thermal energy in a liter of helium at room temperature and atmospheric pressure. Then repeat the calculation for a liter of air.
ANSWER:
Step 1 of 3
In this question, we are asked to find the thermal energy of a liter of Helium(He) and air at room temperature and atmospheric pressure.
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