Practice: A brand new deck of cards which hasn’t been shuffled yet, possesses only one arrangement. Another, older deck has been shuffled and possesses 8 × 1067 arrangements. Calculate and compare entropies of each deck.
The Third Law of Thermodynamics examines the state of entropy for a given substance at absolute zero.
Concept #1: The entropy of a closed system can be related to its temperature.
Generally as the temperature of the system increases there will be an increase in the number of microstates and therefore an increase in entropy.
Example #1: All the statements are correct except:
a) greater number of molecular motion, greater number of possible microstates
b) a perfectly ordered system has more than 1 microstate
c) any system at a temperature above 0 K has a positive ∆S
d) perfect crystal exhibits no molecular motion
Concept #2: The Boltzmann Equation allows for the calculation of entropy by examining the different energetic configurations of a compound.
Example #2: Consider a system with a total of 3 x 1026 number of microstates, what is the entropy of such a system?
Practice: A brand new deck of cards which hasn’t been shuffled yet, possesses only one arrangement. Another, older deck has been shuffled and possesses 8 × 1067 arrangements. Calculate and compare entropies of each deck.