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The radioactive isotope 14C is produced in the earth’s atmosphere by bombardment of nitrogen by cosmic...

The radioactive isotope 14C is produced in the earth’s atmosphere by bombardment of nitrogen by cosmic rays. The 14C enters living organisms, where the ratio of 14C to 12C is the same as in the atmosphere, about . After 1.20×10―12an organism dies, the 14C decays with a half-life of 5730 years. The mass of a neutral 12C atom is 1.993kg.×10―26

(a) A tapestry is determined by mas spectroscopy to contain a ratio of 14C to 12C of . How old is the tapestry? (5 points)1.10×10―12

(b) How many radioactive decays take place per minute in 0.283 grams of carbon taken from the tapestry? (5 points)

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