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Apparently they typically contain 109 mg (0.109 g) of lithium, however, the Maxell 2032 contains only 70 mg (0.07 g). I imagine 109 mg is a conservative estimate.

CR2032 Industry Standard Data Sheet

CR2032 battery (Lithium Coin) is a Lithium / Manganese Dioxide (Li/MnO2) in chemistry. The CR2032 has a nominal voltage of 3.0 Volts with typical capacity ranging from 220 ~ 240 mAh (to 2.0 volts) (Rated at 15K ohms at 21°C). The CR2032's energy density is 198 milliwatt hr/g, 653 milliwatt hr/cc with typical lithium content at 0.109 grams (0.0038 oz.). Shipping method is designated as Ground Transport Only.

From http://www.atbatt.com/s/cr2032.asp

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Q: How many grams of lithium are in one 2032 battery?
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