Many books say that entropy measures energy dispersal or energy spreading.

> Key point 1.4: Thermodynamic processes entail **spatial
redistributions** of internal energies, namely, the **spatial spreading**
of energy. Thermal equilibrium is reached when energy
has spread maximally; i.e., energy is distributed equitably
and entropy is maximized. Thus, entropy can be viewed as a
spreading function, with its symbol S standing for spreading.
Although not Clausius’ motivation for using S, this can serve
as a mnemonic device. Energy spreading can entail energy
exchanges among molecules, electromagnetic radiation, neutrinos,
and the like.

[link>>>][1]

Spreading *where*? Spreading in space? What kind of space? 

I mean, that in my mind "the spread of energy" is some kind of "density of energy in some *volume*". Why then in $\mathrm dS=Q/T$ the $Q$ factor gets divided by $T$ and not by some "abstract volume measure"? Why is *energy spreading*  measured in units $\mathrm{J/K}$ and not in $\mathrm{J/m^3}$ ?

Or, maybe, the temperature in $\mathrm S=Q/T$ is treated exactly like **some kind** of volume.


I can certainly think in this way: 

The greater the $T$, the greater the number of "microstates" consistent with that $T$.

P.S. I'm aware about Boltzmann definition of entropy. I understand it. I just can't handle entropy in phenomenological level (classical thermo level).


  [1]: http://energyandentropy.com/resources/Leff2012Phys.-Teach-1.pdf