Q7. The partition function for the Maxwell Boltzmann distribution is given by Z = E19;eßɛ, Where N is the number of particles, g is the degeneracy, and ɛ is the energy. a. Write the expression of the parameter ß. b. A system consisting of 6 non-interacting particles possesses 3 energy levels E, = E, E, = 2 €, and Eg = 3 € with degeneracy 3, 2, and 1 respectively. If the system is lkent at a constant tewmneratura urite doun the nartitioon finction of the svetam

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Q7. The partition function for the Maxwell Boltzmann distribution is given by Z =
Li=1.
Where N is the number of particles, g is the degeneracy, and ɛ is the energy.
a. Write the expression of the parameter ß.
b. A system consisting of 6 non-interacting particles possesses 3 energy levels E, = E,
E, = 2 €, and Eg = 3 E with degeneracy 3, 2, and 1 respectively. If the system is
kept at a constant temperature, write down the partition function of the system
c. Given that e= kgT calculate the value of the partition function
d. Determine the value of the Free Energy A.
e. Determine the Entropy 'S' of the system.
Transcribed Image Text:Q7. The partition function for the Maxwell Boltzmann distribution is given by Z = Li=1. Where N is the number of particles, g is the degeneracy, and ɛ is the energy. a. Write the expression of the parameter ß. b. A system consisting of 6 non-interacting particles possesses 3 energy levels E, = E, E, = 2 €, and Eg = 3 E with degeneracy 3, 2, and 1 respectively. If the system is kept at a constant temperature, write down the partition function of the system c. Given that e= kgT calculate the value of the partition function d. Determine the value of the Free Energy A. e. Determine the Entropy 'S' of the system.
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