Which of the following represents the change in entropy for a system going from 142 possible microstates to 830 possible microstates? (k = 1.381 × 10^-23 J/K) A) J/K B) J/K C) − J/K D) J/K E) − J/K

Question

Quizplus · Accepted Answer

The change in entropy can be calculated using the equation ΔS = k ln(W2/W1), where k is the Boltzmann constant, ln is the natural logarithm, W1 is the initial number of microstates, and W2 is the final number of microstates.

Plugging in the values given:
ΔS = (1.381 × 10-23 J/K) ln(830/142)
ΔS ≈ 1.65 × 10-22 J/K

Converting the value to scientific notation: 
ΔS ≈ 1.65e-22 J/K

Therefore, the correct choice is D, 11eac9a9_4b86_c1c1_acc3_5d862f17561d_TB7480_11 J/K.

Which of the Following Represents the Change in Entropy for a System