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Clue #4: Welcome to the new age, to the new age…Living in Colorado, you are likely exposed to Radon-222 gas, a radioactive isotope found naturally in the Rocky Mountains. Luckily, the half-life of Radon-222 is about 3 minutes and once a sample of Radon-222 is exposed, it dissipates into the atmosphere.In an attempt to thwart your progress, the suspect releases a large amount of Radon222 that gas was trapped in a naturally occurring cavern thousands of years ago.If the cavern contains approximately 1 kg of gas (1000 g), how long will it take for thesample to decay until only 10 grams remain?Half-life equation: () = (1/2)^T/H where is the initial amount of the decaying quantity, H is the half-life of the quantity, and T is the amount of time that has passed in the same units as the half-life. Approximately how many minutes until the 1000 g initial sample decays to 10 g (half-life is 3 minutes)?
