A system in a certain macro state has 1.2 $\times$ 10³ microstates.Through some process,the system changes the number of microstates to 3 $\times$ 10⁴.What is the change in entropy for the process? A) 1.1 $\times$ 10^-23 J/K B) 2.1 $\times$ 10^-23 J/K C) 4.4 $\times$ 10^-23 J/K D) 5.6 $\times$ 10^-23 J/K

Question

Quizplus · Accepted Answer

The change in entropy is given by: ΔS = klnWf - klnWi where k is the Boltzmann constant, Wf is the final number of microstates and Wi is the initial number of microstates. Substituting the given values, we get: ΔS = kln(3×10^14) - kln(1.2×10^13) ΔS = k[ln(3) + 14ln(10) - ln(1.2) - 13ln(10)] ΔS = k[ln(3/1.2)] ΔS ≈ 4.4 F1F1F1S1F1F1F10 10^-23 J/K Therefore, the best choice is C.

A System in a Certain Macro State Has 1 ×\times× 103 Microstates

A System in a Certain Macro State Has 1 $\times$ 10³ Microstates