Question Detail

CHM 101 CHM 101 Past Questions Objective Question

Question

A system has 500 microstates. Calculate the entropy of the system in joules per kelvin (J/K). Use the Boltzmann constant k = 1.38 × 10⁻²³ J/K.
Options
A S = 1.38 × 10⁻²³ × 500
B S = 1.38 × 10⁻²³ × 500 ln(10)
C S = 1.38 × 10⁻²³ × ln(500)
Correct Answer
D S = 500 × ln(1.38 × 10⁻²³)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Entropy S = k ln Ω = 1.38×10⁻²³ × ln(500). Option C correctly represents this.

Hint

S = k ln Ω.

Question Info