We want to consider some different situations where entropy comes into play for

Question

We want to consider some different situations where entropy comes into play for molecular association reactions. Suppose we have a fixed volume that can be divided into volume elements. There are 100x100x100 boxes or cubes that make up the volume, so there are 106 total volume elements. Suppose there are two different particles placed into this volume, one molecule of protein A and one molecule of protein B, and each particle (or protein molecule) can occupy a single volume element at any given time. Calculate the number of microstates, W, for 2 different particles in 106 boxes.

Explanation / Answer

Number of microstates = 106!/2!(106 - 2)! = 106 x (106 -1)/ 2 = 499999500000

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