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This joke plays on a clever bit of word association and scientific terminology. The humor comes from the double meaning of "mole." In everyday language, a mole is a small, burrowing animal. However, in chemistry, a "mole" is a fundamental unit of measurement, representing a very specific, incredibly large quantity of something, like atoms or molecules.
That incredibly large quantity is where "Avogadro's number" comes in. Named after Italian scientist Amedeo Avogadro, this number is approximately 6.022 x 10^23. It's the number of particles (atoms, molecules, etc.) in one mole of any substance. The concept was first proposed by Avogadro in 1811, though the specific number was determined much later. So, while a person might be excited to "get someone's number" for a date, a chemical "mole" of oxygen molecules would be excited to finally "get" its designated numerical quantity.
The joke finds its punch by contrasting the tiny, perhaps socially awkward animal with the profound scientific concept. It's funny because it applies a very human desire (getting a number) to an abstract scientific measurement, all while using the dual meaning of "mole" to set up the unexpected twist.