In general, the lighter a compound is (in terms of molecular weight), the more quickly it will evaporate. If you were to obtain liquid helium and then quickly remove it from its container, you would see it vanish quite quickly.
More commonly, we encounter liquids like water and alcohol (ethanol) which are a liquid at room temperature. These will undergo the same process as helium, only at a much slower rate and in a way could be thought of actually as gasses. Although evaporation will cease once the air is saturated.
However, it is not always true that a light compound will evaporate more quickly than a heavier one. Water (H20) has a molecular weight of 18 grams/mole, while alcohol (C2H5OH) has a molecular weight of 46 grams/mole and will evaporate or boil more quickly than water. This has to do with the polarity of each molecule and its interaction with its neighbors. Water HOH , which is a bent molecule and has polar bonds, likes to interact with itself and "resists" becoming a gas where it is no longer surrounded by its brethren. Alcohol also contains a polar O-H bond (which is why it actually seen as liquid), but the non-polar C-H bonds that make up the rest of the molecule provide only a small contribution to its "liquidness."
To answer the question, I would say liquid helium would probably evaporate the most quickly, although Hydrogen may also be a contender. Ultimately the answer depends on the experimental conditions in which the evaporation takes place.
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