In lecture we derived the canonical partition function QN(V,N) for the idea gas using a factorization method. One can also directly compute it by taking the Laplace transform of the microcanonical partition function Q(E,V,N). Using our result from lecture, Q(E,V,N) = [3 (2TME)3/2 ]N [(3N/2) - 1]! N! (Δ/Ε) compute directly the Laplace transform, QN(T,V) = | dE A Q(E,V,N)e-BE and show that you get the same result for QN(T,V) as found in lecture using the factorization method.
In lecture we derived the canonical partition function QN(V,N) for the idea gas using a factorization method. One can also directly compute it by taking the Laplace transform of the microcanonical partition function Q(E,V,N). Using our result from lecture, Q(E,V,N) = [3 (2TME)3/2 ]N [(3N/2) - 1]! N! (Δ/Ε) compute directly the Laplace transform, QN(T,V) = | dE A Q(E,V,N)e-BE and show that you get the same result for QN(T,V) as found in lecture using the factorization method.
Related questions
Question
It's a statistical mechanics question.
![In lecture we derived the canonical partition function QN(V,N) for the idea gas using a factorization method. One can also directly compute it
by taking the Laplace transform of the microcanonical partition function Q(E,V,N). Using our result from lecture,
Q(E,V,N) = [3 (2TME)3/2 ]N
[(3N/2) - 1]! N!
(Δ/Ε)
compute directly the Laplace transform,
QN(T,V) = |
dE
A Q(E,V,N)e-BE
and show that you get the same result for QN(T,V) as found in lecture using the factorization method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9faf22f-10a8-4cb5-bec9-d63452f6293a%2F4df03bd7-b47b-4c2a-9df4-fb4dd1be899c%2Fr5gkl1n.png&w=3840&q=75)
Transcribed Image Text:In lecture we derived the canonical partition function QN(V,N) for the idea gas using a factorization method. One can also directly compute it
by taking the Laplace transform of the microcanonical partition function Q(E,V,N). Using our result from lecture,
Q(E,V,N) = [3 (2TME)3/2 ]N
[(3N/2) - 1]! N!
(Δ/Ε)
compute directly the Laplace transform,
QN(T,V) = |
dE
A Q(E,V,N)e-BE
and show that you get the same result for QN(T,V) as found in lecture using the factorization method.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
