Understanding the Clues:

* Density of 0.80: This means the liquid is less dense than water (water's density is approximately 1.0 g/mL).

* Soluble in cyclohexane: This indicates that the liquid is nonpolar or has a significant nonpolar component. Cyclohexane is a nonpolar solvent.

Possible Liquids:

Based on these clues, here are a few possibilities:

* Ethanol (C2H5OH): While ethanol has a slight polar component due to the hydroxyl group, it also has a significant nonpolar hydrocarbon chain. This makes it somewhat soluble in cyclohexane. Its density is around 0.79 g/mL, close to the given value.

* Diethyl ether (CH3CH2OCH2CH3): This is a very nonpolar solvent, making it readily soluble in cyclohexane. Its density is about 0.71 g/mL.

* Toluene (C7H8): A nonpolar aromatic hydrocarbon, it's miscible with cyclohexane and has a density of about 0.87 g/mL.

Important Note:

To definitively identify the liquid, you'd need additional information such as:

* Boiling Point: Each liquid has a unique boiling point.

* Chemical Tests: Specific chemical tests can help distinguish between different organic compounds.

Let me know if you have any other details, and I can help narrow down the possibilities further!