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Chemistry
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Use boltzmann equation.

A given gas molecule can be arranged in different ways with equal energies. What is the entropy of a system composed of of this gas molecule at ?

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Related questions

The connection between the number of microstates,W, and the entropy, S, of a system is expressed by the Boltzmann equation S=klnW where k is the Boltzmann constant per molecule (particle), 1.38×10−23 J/(K⋠particle). From this equation the entropy change, ΔS, for a system can be related to the change in the number of microstates as ΔS=klnWfinalWinitial where Wfinal in the final number of microstates and Winitial is the initial number of microstates.

A gaseous system undergoes a change in temperature and volume. What is the entropy change for a particle in this system if the final number of microstates is 0.501 times that of the initial number of microstates?

The connection between the number of microstates,W, and the entropy, S, of a system is expressed by the Boltzmann equation

S=klnW

where k is the Boltzmann constant per molecule (particle), 1.38×10−23 J/(K⋠particle). From this equation the entropy change, ΔS, for a system can be related to the change in the number of microstates as

ΔS=klnWfinalWinitial

where Wfinal in the final number of microstates and Winitial is the initial number of microstates.

A gaseous system undergoes a change in temperature and volume. What is the entropy change for a particle in this system if the final number of microstates is 0.418 times that of the initial number of microstates?

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