Can Macroscopically Distinguishable Objects Have the Same Entropy?

[shimzz5]

I'm kinda confused on the concept of entropy of everyday, low entropy states like macroscopic objects. It is said that the entropy is a measure of disorder, or distinguishability between macroscopic states.

Can two objects which are macroscopically distinguishable/look different have the same entropy, despite the fact that their atomic structure/configuration is different? Or the only states which can possesses the same entropy are completely indistinguishable macroscopically?

Thanks in advance.

 

[PeroK]

What definition of entropy are you using?

A house and a football are distinguishable, but I wouldn't say that's to do with having different entropy, per se.

 

[shimzz5]

The Boltzmann entropy -the number of microstates.

We can imagine two balls of the same volume but which are macroscopically different - can they have the same entropy?

 

[jbriggs444]

The Boltzmann entropy -the number of microstates.

We can imagine two balls of the same volume but which are macroscopically different - can they have the same entropy?

Yes, obviously. Entropy is a single variable. One dimension. Macroscopic appearance is multi-dimensional.

Consider a red ball on the one hand and a green ball on the other. Either they already have the same entropy or one can be adjusted in size to have the same entropy as the other.