The question "Why does a hard-boiled egg have more entropy than a normal egg?" was recently asked on one of my tests.
I said that entropy will decrease as a hard boiled egg has molecules in a more organised way than an raw egg, but I was marked wrong with a remark that entropy will increase because the proteins and other molecules are decomposed into simpler substances due to heat.
I did ask why I was not correct but what I got was the same explanation along with the decomposition reactions.
I don't feel this explanation is satisfying.
For example, do not 10 objects on a table organised properly have more entropy than 5 objects thrown anywhere on the table?
The definition of entropy is the measure of disorder in the system. So clearly in my above example the 10 objects are more organised and thus less disordered than the 5 objects in the second case and same can be said for the main question.
Can somebody please explain to me why a hard-boiled egg has more entropy than an un-boiled egg (I like if the explanation has some math)?