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 multiplicity of the configuration with 15 molecules in the right half and 10 molecules in the left half is: A)1.03 * 10²³ B)3.27 * 10⁶ C)150 D)25 E)5

Question

Quizplus · Accepted Answer

The multiplicity of a configuration with 15 molecules in the right half and 10 in the left half of the box can be calculated using the binomial coefficient, which is given by the formula $ \binom{N}{n} = \frac{N!}{n!(N-n)!} $, where $N$ is the total number of molecules, and $n$ is the number of molecules in one half of the box. For 25 molecules with 15 in one half, the calculation is $ \binom{25}{15} $, which results in a value that corresponds to choice B when calculated correctly.

Twenty-Five Identical Molecules Are in a Box