Homework 20 Key

# Homework 20 Key - “disordered” are macrostates…...

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CHEM 1515 Homework 20 Key End-of-Chapter Problems

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Review and Discussion Questions 1. Each possible sequence of cards in a deck is a different microstate. There are 52! (fifty-two factorial) such microstates possible (the first card could be any of the fifty-two cards; the second card could be any of the remaining fifty-one cards; and so on), which is equal to roughly 8 x 10 67

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microstates. Only a very few of these microstates could be considered “ordered.” Ace through king in each suit, but perhaps allow the suits to be in any order, or maybe allow either ace-king OR king-ace. Maybe even allow AAAA222233334444. But even with all of these possibilities, you still only will have a small handful of them, probably less than a hundred of them, that you would consider “ordered.” The rest are “disordered.” These two descriptions, “ordered” and
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Unformatted text preview: “disordered” are macrostates… collections of microstates that together share a macroscopic description. The macrostate that we label “disordered” has so many more microstates within it than does the macrostate that we label “ordered” that it is vanishingly likely that we will ever, by random chance, find an ordered microstate. Entropy is a measure of the number of microstates within a given macrostate, and so we can restate our above observation as the entropy of a disordered deck of cards is much higher than the entropy of an ordered deck of cards. 3. A) Spontaneous at high temperature B) Spontaneous at all temperatures C) Spontaneous at no temperature D) Spontaneous at low temperature 8. ∆ ∆ o o S H Spontaneous at high temperature....
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## This note was uploaded on 01/08/2012 for the course CHEM 1515 taught by Professor White during the Fall '11 term at Oklahoma State.

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Homework 20 Key - “disordered” are macrostates…...

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