Consider a classical system of N noninteracting diatomic molecules enclosed in a box of volume V and temperature T. The Hamiltonian for a single molecule is taken to be 1 H (P\» P2; "1, r2) = + ) +;K\r1 – (Pỉ + p³) + ¿K\r1 – r2l? (14) 2m where p1, p2, r1, r2, are the momenta and coordinates of the two atoms in a molecule. Find a) The Helmoholtz free energy of the system; b) The specific heat a constant volume; c) The mean square molecule diameter < ]r1 – r2[² >
Consider a classical system of N noninteracting diatomic molecules enclosed in a box of volume V and temperature T. The Hamiltonian for a single molecule is taken to be 1 H (P\» P2; "1, r2) = + ) +;K\r1 – (Pỉ + p³) + ¿K\r1 – r2l? (14) 2m where p1, p2, r1, r2, are the momenta and coordinates of the two atoms in a molecule. Find a) The Helmoholtz free energy of the system; b) The specific heat a constant volume; c) The mean square molecule diameter < ]r1 – r2[² >
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![Consider a classical system of N noninteracting diatomic molecules enclosed in a box of volume V
and temperature T. The Hamiltonian for a single molecule is taken to be
1
H (P\» P2; "1, r2) = + ) +;K\r1 –
(Pỉ + p³) + ¿K\r1 – r2l?
(14)
2m
where p1, p2, r1, r2, are the momenta and coordinates of the two atoms in a molecule. Find
a) The Helmoholtz free energy of the system;
b) The specific heat a constant volume;
c) The mean square molecule diameter < ]r1 – r2[² >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e5067aa-1b6a-43f8-b151-e6033df78f55%2F682e3e0d-7652-453d-9d9e-a04a48d9d67f%2F1bm56k7.png&w=3840&q=75)
Transcribed Image Text:Consider a classical system of N noninteracting diatomic molecules enclosed in a box of volume V
and temperature T. The Hamiltonian for a single molecule is taken to be
1
H (P\» P2; "1, r2) = + ) +;K\r1 –
(Pỉ + p³) + ¿K\r1 – r2l?
(14)
2m
where p1, p2, r1, r2, are the momenta and coordinates of the two atoms in a molecule. Find
a) The Helmoholtz free energy of the system;
b) The specific heat a constant volume;
c) The mean square molecule diameter < ]r1 – r2[² >
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