A system in a certain macro state has 2 $\times$ 10²³ microstates.Through some process,the system changes the number of microstates to 3 $\times$ 10²³.What is the change in entropy for the process? A) 2.5 $\times$ 10²³ J/K B) 1.2 $\times$ 10¹³ J/K C) 4.2 $\times$ 10^-10 J/K D) 5.6 $\times$ 10^-24 J/K

Question

Quizplus · Accepted Answer

The change in entropy for the process can be calculated using the formula: ΔS = kB lnΩ2/Ω1 where kB is Boltzmann constant, Ω1 is the initial number of microstates and Ω2 is the final number of microstates. ΔS = kB ln(3 F1F1F1S1F1F1F10 10²³)/ (2 F1F1F1S1F1F1F10 10²³) ΔS = kB ln(3/2) ΔS = (1.38 x 10^-23 J/K) ln(3/2) ΔS ≈ 5.6 F1F1F1S1F1F1F10 10^-24 J/K Therefore, the best choice is (D).

A System in a Certain Macro State Has 2 ×\times× 1023 Microstates

A System in a Certain Macro State Has 2 $\times$ 10²³ Microstates