Posted: Jun 16, 2019 4:24 pm
by romansh
newolder wrote:The cards can be ordered 52! ways. The probability of any individual ordering is 1/52! One is the reciprocal of the other and depends in no way on any chemistry at page 6 of that link. :scratch:

from Cito's Link

The energy in a cube of ice is constantly being redistributed - in any one of a humanly incomprehensible large numbers of ways, microstates. From the above calculation via the Boltzmann equation, there are 10^1,300,000,000,000,000,000,000,000 microstates for "orderly" crystalline ice, with the energy of the ice in only in one microstate at one instant. Do you see now why it is not wise to talk about "order" and entropy in ice compared to "disorderly" water? What could be more disorderly than that incredible mess for ice of not just trillions times trillions times trillions times trillions of microstates (i.e., which would be only 10^48 !) but 10^1,300,000,000,000,000,000,000,000 ? (There are only about 10^70 particles in the entire universe!)


So water is 2.0/1.3 times more disorderly than ice? Lambert's point at the bottom of the page.