Twenty-five identical molecules are in a box. Microstates are designated by identifying the molecules in the left and right halves of the box. The Boltzmann constant is 1.38 * 10^-²³ J/K. The entropy associated with the configuration for which 15 molecules are in the left half and 10 molecules are in the right half is: A) 2.07 *10^-²² J/K B) 7.31 * 10^-²² J/K C) 4.44 * 10^-²³ J/K D) 6.91 *10^-²³ J/K E) 2.22 *10^-²³ J/K

Question

Quizplus · Accepted Answer

The entropy associated with the configuration for which 15 molecules are in the left half and 10 molecules are in the right half is:S = k ln W = k ln (25! / (15! * 10!)) = 2.07 * 10^-22 J/K

Twenty-Five Identical Molecules Are in a Box