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the keck
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[SOLVED] Basic Statistical Thermodynamics
Two distinguishable particles are to be distributed among nondegenerate energy levels 0,e,2e,3e... such that the total energy is U = 2e
If a distinguishable particle with zero energy is added to the system show that the entropy of the assembly is increased by a factor of 1.63 when compared to the entropy of the original assembly.
S=k*ln(W), where k is Boltzmann's Constant and W is thermodynamic probability
I know that without the particle added, W is three. And so a factor of 1.63 means that W must equal to 6 i.e. Solving ln(x)/ln(3) = 1.63 => x = 6
However, I do not know how adding an extra particle would produce three more states.
Regards,
The Keck
Homework Statement
Two distinguishable particles are to be distributed among nondegenerate energy levels 0,e,2e,3e... such that the total energy is U = 2e
If a distinguishable particle with zero energy is added to the system show that the entropy of the assembly is increased by a factor of 1.63 when compared to the entropy of the original assembly.
Homework Equations
S=k*ln(W), where k is Boltzmann's Constant and W is thermodynamic probability
The Attempt at a Solution
I know that without the particle added, W is three. And so a factor of 1.63 means that W must equal to 6 i.e. Solving ln(x)/ln(3) = 1.63 => x = 6
However, I do not know how adding an extra particle would produce three more states.
Regards,
The Keck