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

Question

Quizplus · Accepted Answer

The change in entropy for a process is given by: ΔS = kBln(Wf/Wi) where kB is the Boltzmann constant and Wf and Wi are the final and initial number of microstates, respectively. Plugging in the given values, we get: ΔS = kBln(3 × 10²³ / 2 × 10²³) ΔS = kBln(1.5) ΔS ≈ 5.6 × 10⁻²⁴ J/K Therefore, the correct answer is D.

A System in a Certain Macrostate Has 2 × 1023

A System in a Certain Macrostate Has 2 × 10²³