Is milkshake a heterogeneous mixture?

In my textbook, one of the examples of a heterogeneous mixture is milkshake, I don't see how ?
I think the answer depends on the fact that How many phases are there in a milkshake, which I think should be only 1 (if we don't consider any "added stuffs":)




Yes, a milkshake is heterogeneous.


* milk is heterogeneous all on its own; [fat globules](https://www.compoundchem.com/2018/06/02/milk/) in the milk are a different phase than water solutions in the milk. (Curds vs. whey).
* ice cream adds two additional heterogeneities: it contains microscopic ice crystals, and ice is a different phase than both water and fat globules. It also contains tiny air bubbles, and this is a fourth phase.


 6

Homogenity/heterogenity is dependent on evaluation conditions.


A mixtures is heterogenous if both these conditions are true:


* Local variability of mixture properties are above the threshold of
	+ property value resolution AND
	+ mixture application requirement.
* Spacial granularity of the above variability is above the threshold of
	+ spacial resolution AND
	+ mixture application requirement.


Otherwise, a mixture is homogenous.


If values vary less than we notice or care  

OR if values vary within smaller distance than we notice or care  

THEN the mixture is homogenous.


Every mixture can be considered homogenous or heterogenous at certain ( sometime extreme) conditions.


* If there are floating evenly distributed potatoes in water, observed by a telescope with resolution $\pu{1 m}$, it is homogenous mixture.
* If there is an old favourite red T-shirt, a "16-Windows(3.x)-colors man" may say it is still homogenously colored, even if his wife disagrees.


 2

Milk is a [colloid dispersion](https://en.wikipedia.org/wiki/Colloid), i.e. a



> 
> "substance consisting of microscopically dispersed insoluble particles is suspended throughout another substance."
> 
> 
> 


(source: English [Wikipedia](https://en.wikipedia.org/wiki/Colloid))


As such, visible light is scattered when it passes this medium; equally known as [*Tyndall effect*](https://en.wikipedia.org/wiki/Tyndall_effect). In case you get your hands on a bright light source, you then can monitor the optical path across this medium. It needn't be a laser as in this video [recording](https://www.youtube.com/watch?v=t1d_B7_zWiQ) about a *very dilute* milk:


[![enter image description here](https://i.stack.imgur.com/pGzQI.png)](https://i.stack.imgur.com/pGzQI.png)


(screen photo of the mentioned video, 1:28 min into the recording)


*Addition after a comment:*


Replication with «true milk» requires a brilliant light source passing an aperture *narrow enough*. On the other hand, because of the high concentration of particles with a dimension about light's wavelength, scattering occurs so frequently that the beam fuzzes out rapidly: (For these two *transmission mode* observations, equally note color of the milk and glare (and apparent color) of the glass in the second run with milk which is less prominent for the experiment with tap water in the experiment.)


[![enter image description here](https://i.stack.imgur.com/tS6oX.png)](https://i.stack.imgur.com/tS6oX.png)


Setup: daylight-white light of a LED torch (focus to infinity) passes a flat bottom glass, perpendicular to the surface (aperture: $\pu{3 mm}$ diameter, thickness glass wall: $\approx \pu{2 mm}$). Path length $\approx \pu{10 mm}$ for either water (first experiment), or fresh milk (second experiment; 1.5% fat, purchased less than $\pu{12 h}$ earlier, which passed both [Pasteurization](https://en.wikipedia.org/wiki/Pasteurization) and [homogenization](https://en.wikipedia.org/wiki/Homogenization_(chemistry)). *Homogeneous* hereby is not about a discern between solution (e.g., $\ce{NaCl}$ dissolved in water), or collide (e.g., fat dispersed in milk), but refers to a narrowed (i.e., adjusted) [particle size distribution](https://en.wikipedia.org/wiki/Particle-size_distribution) of the *fat globules suspended* in milk after passing homogenization for which [Wikipedia](https://en.wikipedia.org/wiki/Milk) reports



> 
> an average diameter of two to four micrometers [of unhomogenized cow's milk] and with homogenization, [an] average [of] around 0.4 micrometers.
> 
> 
> 


($\pu{1 µm} = 1 \times \pu{10^-6 m}$, and $\pu{1 nm} = 1 \times \pu{10^-9 m}$; so $\pu{0.4 µm} \approx \pu{400 nm}$. For comparison: average diameter of a human hair $\approx \pu{100 µm}$ ([ref](https://en.wikipedia.org/wiki/Orders_of_magnitude_(length)#100_micrometres)), wavelength of visible light $\approx 250\ldots\pu{700 nm}$.)


 1