Question

calculate how many microstates are avaliable to a single molecule of liquid H20 at 298K

calculate how many microstates are avaliable to a single molecule of liquid H20 at 298K

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Answer #1

Hi for the proof purpose i have reproduced the image from author permission.

Ludwig Boltzmann relation for microstates

S = kB ln W, where S is the value of entropy in joules/mole at T,

kB is Boltzmann's constant of 1.38 x 10-23 J/K and

W is the number of microstates.

Liquid water at 273 K has an So of 70.0 J/K,

So value can be accessed from

https://sites.google.com/site/chempendix/thermo

W = eS/KB = e(70 J/K / 1.38 x 10-23 J/K) = 101,991,000,000,000,000,000,000,000 = infinity

there are 101,991,000,000,000,000,000,000,000 accessible microstates for water.

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