1. The graph below shows the radioactive decay of Carbon-14 through time. The X
ID: 277030 • Letter: 1
Question
1. The graph below shows the radioactive decay of Carbon-14 through time. The X axis shows time (in number of half-lives and calendar years) and the y-axis shows the amount of Carbon-14 remaining in the fossil, relative to what was initially present. Arrows at each of the points show the fraction of Carbon-14 remaining in the fossil at each point on the line (these have also been converted to decimals and to scientific notation). 0.5-5 x 10-1 4-0.25-2.5×10-1 0.125 -1.25 x 10-1 16- 0.0625-6.25 x 10-2 20.0313 3.13 x 10-2 ?-0.0156-1.56 x 10-2 -0.00781-7.81x 103 1.0 0.9 0.8", 0.7 0.6 0.5 0.4 0.3- 0.2 ·sa-0.00391-3.91 x 10 256 -0.00195-1.95 x 10-a G 0.1 0.000977-9.77 x 104 0 1 2 3 4 5 6 78 9 10 Time (half-lives) o 5,730 11,460 17,190 22,920 28,650 34,380 40,110 45,840 51,570 57,300 Time (years) You discover a new Neanderthal foss 7.80 x 103 as much 1C as was present in the atmosphere. Approximately how many half-lives have passed since the Neanderthal died? a. il. Your analysis indicates it contains about b. What is the approximate age of your Neanderthal fossil?Explanation / Answer
a) If the sample contains 7.80*10-3 amount of 14C then according to the graph approximately 7 Half-lives have passed since that neanderthal had died. As your estimate is close enough to 7.81* 10-3 so we can say that 7 half-lives have passed.
b) Coming to the age of the NEANDERTHAL fossil, it must be 40,110 Years old as can be matched up easily in the graph..
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