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Carbon dating is a method for determining the age of an object containing organic material by using the properties of "C, a radioactive isotope of carbon. The isotope MC, a radioactive form of carbon, produced as a secondary effect of cosmic-ray bombardment of the upper atmosphere 'N nuclei. The isotope, "4C, is transported as "CO2, absorbed by plants, and eaten by animals. If we were to measure the ratio of "C to "C today, we would find a value of about one " C atom for each one-trillion "C atoms. This ratio is the same for all living things-the same for humans as for trees or algae. Once living things die, they no longer can exchange carbon with the environment. The isotope 14C is radioactive, and beta-decays. Thus, the ratio of "C to "C will slowly reduce. The current amount of radioactive *C present in the remains of dead organism can be measured, and the percentage of the current amount of "C to its initial amount, CIt), can be used to determine age. The last percentage ratio is described by the function, C(t) = 100 x 0.5sme , where r is time (in years). State the half-life of 14C. On a piece of graph paper, plot the graph of C(t) against t for 0 S t $ 10000 Use a suitable graph plotting software to verify your graph. m Otzi, the man who was entombed in glacial ice was discovered in September 1991. A carbon dating measurement on 1992 indicated that the "C content was 52% of the initial amount. Use your graph to estimate the year when Otzi was entombed. NN Use mathematical calculation to find out the answer to (c)