Question Detail
Question
The number of microstates Ω for a system is 100. Using the Boltzmann constant k=1.38 × 10⁻²³ J/K, calculate the entropy S of the system.
Correct Answer
Option A is the correct answer.
Detailed Explanation
S = k ln Ω = (1.38×10⁻²³) × ln(100) = 1.38×10⁻²³ × 4.605 = 6.35×10⁻²³ J/K. This does not match any option. For Ω=1000, S≈9.5×10⁻²³. There may be a typo; 9.2×10⁻²² is closest if Ω=10⁷.
Hint
Use S = k ln Ω.