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(b) Write the two nuclear equations that are the basis for the radio-dating process that is based on carbon-14 (c) What types of materials can be radio-dated using carbon-14? (d) Briefly explain how the carbon-14 dating method works. (e) Radioisotope dating depends on constant rate of decay and formation of various nuclides in a sample. How is the proportion of carbon-14 kept relatively constant in organisms ? (f) How old does a sample have to be before the carbon dating methods becomes unreliable ? (g) A Geiger counter measures the radioactivity of carbon-14 in a living plant sample at 15.4 disintegrations per second. If the half-life of carbon-14 is 5,715 years, how old is a scroll found in the Dead Sea area of the Middle East if the Geiger counter measured its carbon-14 radioactivity at 11.5 disintegrations per second? (h) Plutonium-239 (a emitter, t12 2.41x101 years) represents a serious nuclear waste hazard. If it takes seven half-lives until only ~ 1% of original plutonium-239 remains, how long must 29Pu be stored before it reaches that level?

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