It's not so much a matter of justifying it as recognizing that the function δq/T has been assigned the name "entropy" - specifically:
dS = δq/T (by definition)
The quantity δq/T was assigned a name because it is so useful in thermodyanmics for predicting direction of heat flow, efficiency of cycles, and natural (spontaneous) processes.
The idea that entropy is a measure of disorder comes from the proof by by Ludwig Boltzmann in the 1870s who analyzed the statistical behavior of the microscopic components of system. Boltzmann showed that the statistical-mechanical definition of entropy was equivalent to the thermodynamic entropy to within a constant number which has since been known as Boltzmann's constant.
The change in entropy equals zero when a process is reversible, meaning that the system and surroundings return to their original state without any net change in entropy.
determine whether each relation is a function y equals -8
When equals are subtracted from equals, the results are equal.
Yes
Blood relation equals incest, law relation equals strange. Either way it's taboo and your gonna have to accept that if you "love" your uncle.
Yes.
An expression does not have an equals sign, An equation has an equals sign,
The increase in entropy of water as it warms from 0 degrees to 4 degrees is due to the water molecules gaining kinetic energy and becoming more disordered. At higher temperatures, the molecules have more freedom of movement and can explore a greater number of microstates, leading to an increase in entropy.
Probably not, though it is hard to work out the mapping "r equals 1 2"
The range depends on the domain and conversely.
no because if you dont have a number after the X, it wont equal anything.
...and Mass