Question Detail

CHM 101 Chemical Thermodynamics Objective Question

Question

A system in State A has 4 microstates and in State B has 16 microstates. What is the entropy change for A → B? (k = 1.38 × 10⁻²³ J K⁻¹)
Options
A -1.91 × 10⁻²³ J K⁻¹
B 0 J K⁻¹
C 2.77 × 10⁻²³ J K⁻¹
D 1.91 × 10⁻²³ J K⁻¹
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

ΔS = k ln(W_B/W_A) = (1.38 × 10⁻²³) ln(16/4) = (1.38 × 10⁻²³) ln(4) = (1.38 × 10⁻²³)(1.386) = 1.91 × 10⁻²³ J K⁻¹.

Hint

The notes provide this exact calculation.

Question Info