Final answer:
To separate Red#40 from ZnO, use their solubility differences by dissolving Red#40 in water and filtering out the insoluble ZnO.
Step-by-step explanation:
To separate Red#40 dye from Zinc Oxide (ZnO), one could exploit the differences in solubility and physical properties of the two substances. Since Red#40 is an organic dye, it is likely soluble in water while zinc oxide is not. A simple filtration process could be used to achieve this separation. Add water to the mixture of Red#40 and ZnO, shake or stir the mixture to dissolve the Red#40, and then filter the mixture. The Red#40 will pass through the filter in the water solution, leaving the ZnO behind as a residue.