The other comment is partially incorrect. If the drug molecules dissolve in blood, they do not have an anesthetic effect. If they have a low blood solubility, they do NOT dissolve in blood well which leads to a faster anesthetic effect.
The potency is related to the lipid solubility because the drug has to be lipid soluble to cross the blood-brain barrier. A drug with a higher lipid solubility will be able to reach a therapeutic dose in the brain at a lower administered dose, so lower lipid solubility = more potent.
This question asked about a quick induction time, so we want a drug with a low blood solubility so the drug will not dissolve in the blood and will more quickly cross into the brain.
In other terms, a low blood:gas partition coefficient = low blood solubility = short induction time.
โBlood solubility: slow speed
โBlood solubility: fast speed
โLipid solubility: very potent
โLipid solubility: not potent
Potency = 1/ MAC
submitted by โmatch95(56)
Inhaled anesthetics that have low blood:gas partition coefficient/blood solubility dissolve in blood more easily. Therefore, there is LESS gas needed to saturate blood -- aka faster saturation of blood. This leads to faster saturation of brain.
tldr; low solubility --> faster onset --> faster recovery