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How to calculate half life of carbon 14

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How do you calculate the half-life of carbon 14? Study

If an initial population of size P has a half-life of d years (or any other unit of time), then the formula to find the final number A in t years is given by. A = P(1/2) t/d. Practice Problems. Problem 1 : The half-life of carbon-14 is approximately 6000 years. How much of 800 g of this substance will remain after 30,000 years? Solution The half-life of an isotope is the time taken by its nucleus to decay to half of its original number. It can be expressed as Example 1 - Carbon-14 has a half-life of 5.730 years Half-life is defined as the time required for half of the unstable nuclei to undergo their decay process. Each substance has a different half-life. For example, carbon-10 has a half-life of only 19 seconds, making it impossible for this isotope to be encountered in nature. Uranium-233, on the other hand, has the half-life of about 160 000 years Carbon (C) 14 Radioactive Isotope Decay Calculator. Online radioactive decay calculator that allows you to find out the radioactivity decay in Carbon (C) 14. Note: The calculation of radioactivity in minerals is based on certain assumptions Carbon-14 has a half-life of 5730 years and is produced in a nuclear reaction induced when solar neutrinos strike 14 N in the atmosphere. Radioactive carbon has the same chemistry as stable carbon, and so it mixes into the ecosphere, where it is consumed and becomes part of every living organism

The decay rate of carbon-14 in fresh wood today is 13.6 counts per minute per gram, and the half life of carbon-14 is 5730 years. Solution: 1) Determine decimal fraction of C-14 remaining: 6.00 / 13.6 = 0.4411765. 2) Determine how many half-lives have elapsed: (1/2) n = 0.441176 In this video I show how to use a circle to calculate the decay rate of a radioactive isotope. In this example is carbon-14 although it could be used with an.. The abundance of carbon-14 in atmospheric carbon and in living matter is 1.2 parts per trillion (1.2 x 10 -12) of total carbon. The half-life of carbon-14 is 5,700 years However, roughly one in a trillion carbon atoms weighs 14 atomic units. This carbon is called carbon-14. It is also called radio carbon because it is radio active (but not dangerous). Half of it will decay in about 5,730 years to form nitrogen Radioactive dating is a process by which the approximate age of an object is determined through the use of certain radioactive nuclides. For example, carbon-14 has a half-life of 5,730 years and is used to measure the age of organic material

If a fossil contains 60% of its original carbon, how old is the fossil? The half life of carbon 14 is 5600 years. That means this is how long it takes for half the nuclei to decay. After 5600 years, if we start with a gram, we end up with half a gram where ln is the natural logarithm, N f /N o is the percent of carbon-14 in the sample compared to the amount in living tissue, and t 1/2 is the half-life of carbon-14 (5,700 years). So, if you had a fossil that had 10 percent carbon-14 compared to a living sample, then that fossil would be: t = [ ln (0.10) / (-0.693) ] x 5,700 year Returning to our example of carbon, knowing that the half-life of 14 C is 5700 years, we can use this to find the constant, k. That is when t = 5700, there is half the initial amount of 14 C. Of course the initial amount of 14 C is the amount of 14 C when t = 0, or N0 (i.e. N (0) = N0e k⋅0 = N0e0 = N0). Thus, we can write Example #5: The radioactive element carbon-14 has a half-life of 5730. years. The percentage of carbon-14 present in the remains of plants and animals can be used to determine age. How old is an object that has lost 60% of its carbon-14? Solution: 1) Determine how many half-lives have elapsed: (1/2) n = 0.40 n log 0.5 = log 0.40 n = 1.3219 The carbon-14 isotope, created continuously in the upper regions of Earth's atmosphere, reacts with atmospheric oxygen or ozone to form 14 CO 2. As a result, the CO 2 that plants use as a carbon source for synthesizing organic compounds always includes a certain proportion of 14 CO 2 molecules as well as nonradioactive 12 CO 2 and 13 CO 2

Carbon 14 Dating Calculator - University of Pennsylvani

Carbon dating is a real-life example of a first-order reaction. This video explains half-life in the context of radioactive decay In the upper one, to find the percent of Carbon 14 remaining after a specified number of years, enter the number of years and click on Calculate. In the lower one, to find the years that have elapsed based on how much Carbon 14 remains, enter the C 14 remaining percent and click on Calculate

Half Life Calculato

  1. Some of the carbon atoms are carbon-14, which is a radioactive isotope of carbon. Carbon-14 has a half-life of about 5,700 years. When a living thing dies, it stops absorbing carbon-14
  2. The short half-life of carbon-14 means it cannot be used to date fossils that are allegedly extremely old, e.g. dinosaurs the evolution alleges lived millions of years ago. Levels of carbon-14 become difficult to measure and compare after about 50,000 years (between 8 and 9 half lives; where 1% of the original carbon-14 would remain undecayed)
  3. The ratio of the carbon-14 and carbon-12 drops from the steady-state ratio in the living matter, 6 C 14 → 7 N 14 + -1 e 0 (t ½ = 5760 years). By measuring this ratio and comparing radioactive decay with living plants, we can estimate when the plant died or the age of dead substances. Problem: A piece of wood was found to have a carbon-14 and.
  4. Half-Life formula. You can find the half-life of a radioactive element using the formula: where t 1/2 is the half-life of the particle, t is the elapsed time, N 0 is the quantity in the beginning, and N t is the quantity at time t. This equation is used in the calculator when solving for half-life time. Exponential decay application
  5. Carbon-14 is different in that it occurs in organic remains rather than in rocks. Clock is set when an organism dies. Carbon-14 is absorbed by all living organisms from the atmosphere or the food they eat. Useful for about 10 half lives, or only about 57,000 years. Materials dated using the Carbon-14 metho
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5 Ways to Calculate Half Life - wikiHo

Carbon-14 (14 C), or radiocarbon, is a radioactive isotope of carbon with an atomic nucleus containing 6 protons and 8 neutrons.Its presence in organic materials is the basis of the radiocarbon dating method pioneered by Willard Libby and colleagues (1949) to date archaeological, geological and hydrogeological samples. Carbon-14 was discovered on February 27, 1940, by Martin Kamen and Sam. For Carbon dating we have already experimentally measured the amount of Carbon-14 left, and Libby has already measured the half-life of Carbon-14 to an acceptable exactness, however how much Carbon-14 was there in the specimen at the time of death. The amount of Carbon-14 in an organic body is constant with the amount of Carbon-14 in the.

An artifact containing carbon-14 contains 8.4 × 10 −9 g of carbon-14 in it. If the age of the artifact is 10,670 y, how much carbon-14 did it have originally? The half-life of carbon-14 is 5,730 y Radiometric Dating: Carbon-14 dating employs the principle that every 5750 years, the half-life of Carbon-14, one-half of the initial quantity of Carbon-14 dissipates After it dies, an organism's body continues to intake C-14. Radiocarbon dating is useful for dating objects up to 100,000 years old. Radiocarbon dating assumes that half-life for radioisotopes change over time. The half-life of C-14 is 5,730 years Carbon-14 Dating. Carbon-14 is a radioisotope formed in our atmosphere by the bombardment of nitrogen-14 by cosmic rays. The amount of carbon-14 in the atomosphere is, on an average, relatively constant. Plants take in carbon-14 through the process of photosynthesis. Animals eat the plants so they too have carbon-14 in their tissues This half life has later been re-determined by Godwin. The new half life is 5730 years. Libby recognized that due to its occurrence in natural materials, 14 C can be used as a dating tool for materials that contain carbon compounds derived from atmospheric CO 2 either by simple mixing processes or by carbon exchange. The mean life time of.

Carbon 14 Dating Calculator - 101science

The Half-Life calculator can be used to understand the radioactive decay principles. It can be used to calculate the half-life of a radioactive element, the time elapsed, initial quantity, and remaining quantity of an element. Each radioactive element has a different half life decay time. The half-life of carbon-10, for example, is only 19. Carbon-14 is used for archaeological carbon dating. Its half-life is 5,730 years. How much of a 250g sample of carbon-14 will be left in 5,000 years? Write your answer rounded to the nearest hundredth The half-life (t 1/2) is the name given to this value which Libby measured at 5568±30 years. This became known as the Libby half-life. After 10 half-lives, there is a very small amount of radioactive carbon present in a sample At one half-life, you would have approximately 50% Carbon-14 and 50% Nitrogen-14. In other words, half (50%) of the Carbon-14 you started with has decayed into the daughter isotope Nitrogen-14. However, your readout from your radioactivity measuring instrument says you have only 25% Carbon-14 and 75% Nitrogen-14, so your fossil must have been. carbon.14 decays with half life of 5730, we all knw dat. the que is, hw do i calculate the amount that has not decayed with nothing else known except for the beta decay reaction with emission of nitrogen, electron and an antineutrin

The best estimate of the half-life of Carbon-14 is 5730 years. Thus problems in calculus books read like number 11 on page 535 of Calculus, Concepts and Contexts by James Stewart. Scientists can determine the age of ancient objects by a method called radiocarbon dating 5 counts per minute.The activity is due to the disintegration of Carbon 13 atoms.The half-life of Carbon 14 is 5568 years.Calculate the age of the ship..... Revision question for an upcoming assignment A Use Equation 14.28 to calculate the half-life of the reaction. The most common method for measuring the age of ancient objects is carbon-14 dating. The carbon-14 isotope, created continuously in the upper regions of Earth's atmosphere, reacts with atmospheric oxygen or ozone to form 14 CO 2 The half-life is the time it takes for 1/2 of a radioactive substance to decay. For example, 20 units of a substance with a half-life of 5 years will have 10 units remaining after 5 years. In this example, carbon-14 has undergone 3 half-lives: 1 → ½; ½ → ¼; ¼ → 1/8. 3 x 5700 years = 17100 years Pu-234, by comparison has a half-life of 24,000 years. Explain why both of these examples are dangerous, even though their half-lives are very . Biology. If the original amount of Carbon-14 is 142 kilograms, how much will the sample weight in 11,400 years? chemistr

Half Life Decay Formula - onlinemath4al

In nature, carbon exists as two stable, nonradioactive isotopes: carbon-12 (12 C), and carbon-13 (13 C), and a radioactive isotope, carbon-14 (14 C), also known as radiocarbon.The half-life of 14 C (the time it takes for half of a given amount of 14 C to decay) is about 5,730 years, so its concentration in the atmosphere might be expected to decrease over thousands of years, but 14 (By the way, you are mostly Carbon-12, which is not radioactive. That's why we are called Carbon-based life forms. Man, I've really watched too much Star Trek.) Scientists use Carbon-14 to make a guess at how old some things are -- things that used to be alive like people, animals, wood and natural cloths Carbon-14 has a half-life of 5730 years, which means that if you take one gram of carbon-14, half of it will decay in 5730 years. Different isotopes have different half-lives. The ratio of the amounts of carbon-12 to carbon-14 in a human is the same as in every other living thing. After death, the carbon-14 decays and is not replaced This method involves measuring quantities of carbon-14, carbon-14 to carbon-12 left in it and comparing that quantity to the carbon-14 half-life. calculate the ratios between these.

Radioactive Decay Formula - Half Life & Radioactivity

The half life of 14C is 5730 years. What fraction of the 14C nuclei in a sample are left after 8740 years? The amount of 14C in an old, isolated sample of vegetation is 0.666 that expected from a present day sample with an equivalent carbon content. Calculate the age of the old sample in years. I need the formula for this, i can't figure out how to use T 1/2 = ln2/ Carbon-14 has a half-life of 5730 years. You are presented with a document which purports to contain the recollections of a Mycenaean soldier during the Trojan War. The city of Troy was finally destroyed in about 1250 BC, or about 3250 years ago. Carbon-dating evaluates the ratio of radioactive carbon-14 to stable carbon-12 The ratio of carbon-14 relative to carbon-12 in a sample, therefore, may be used to determine the age of organic matter derived from plant tissues. Because of its short half-life, carbon-14 can only be used to date materials that are up to about 70,000 years old (beyond this point, the amount of carbon-14 remaining becomes so small that it is.

Half-Life Calculato

  1. The half-life of carbon-14 is about 6,000 years. Suppose I know that a certain sample had 10 grams of carbon-14 at an unknown time in the past. Today I measure it and I find there are 5 grams. I deduce that the time in the past was 6,000 years ago
  2. Half the original quantity of carbon-14 will decay back to the stable element nitrogen-14 after only 5,730 years. (This 5,730 year period is called the half-life of radiocarbon, figure 5).6 At this decay rate, hardly any carbon-14 atoms will remain after only 57,300 years (or ten half-lives)

Carbon (C) 14 Isotope Decay Calculator Calculate

As a result, the carbon-14 half-life is extended by many orders of magnitude. And that's why carbon-14 is a very useful tool for determining the age of objects Materials with a long half-life are useful in dating materials that are very ancient. They are most used to date the most ancient rocks and therefore are the ones used to date the Solar System. radioactive atoms such as Carbon-14 have short half-lives and therefore are used to date materials of more recent age Scientists can use the half-life of Carbon-14 to determine the approximate age of organic objects less than 40,000 years old. By determining how much of the carbon-14 has transmutated, scientist can calculate and estimate the age of a substance. This technique is known as Carbon dating. Isotopes with longer half-lives such as Uranium-238 can be. One of the most well-known uses of radioactive isotopes is carbon dating. To learn more about how radioactive carbon-14 isotopes are used to date fossils and other ancient structures like the Grand Canyon, watch the following videos: Radiometric Dating (5:31) DES information. Radioactive Decay of Carbon-14 (3:05) PBS information If the half life of the radioactive material is 1,000 years what is the age of the sample represented by the diagram? The carbon-14 in the fossil remains of a mastodont has undergone five half-lives of radioactive decay. Calculate the age of these fossil remains

Carbon-14 dating has been used successfully on the Dead Sea Scrolls, Minoan ruins and tombs of the pharohs among other things. What is Carbon-14? Carbon-14 is a radioactive isotope of carbon. Its has a half-life of about 5,730 years. The short half-life of carbon-14 means its cannot be used to date extremely old fossils $\begingroup$ Hi there, according to this link, the estimation of half life from an AR(1) process should instead be log(0.5)/log(numpy.abs(res.params[1])). This derivation is typical from the ARMA methods. from OU process, have the result of $\log{2}$ / $\alpha$ where $\alpha > 0$ is the speed of mean reversion For example, an isotope with 6 protons and 6 neutrons is carbon-12 or C-12. An isotope with 6 protons and 7 neutrons is carbon-13 or C-16. Note the mass number of two isotopes may be the same, even though they are different elements. For example, you could have carbon-14 and nitrogen-14 The half-life of carbon-14 is about 5760a I don't have the notes on how to do this one... Help . Chemistry. An artifact has a carbon-14 to carbon-12 ratio that is one-fourth the carbon-14 to carbon-12 ratio of a similar modern object. How old is the artifact? (The half-life of carbon-14 is 5,715 years.) Alg

Half-Life and Activity Physics - Lumen Learnin

  1. The duration of a half-life is unique for each radioactive isotope. Some examples: the half-life for the decay of potassium 40 atoms into argon 40 atoms is about 1.3 billion years, the half-life for the decay of uranium 238 into lead 206 is about 4.5 billion years, and the half-life for the decay of carbon 14 into Nitrogen 14 is 5730 years.
  2. e the age of each of the following specimens: a. Scientists have discovered that only 2.5 grams of carbon-14 remain in a sample that originally contained 10 grams. Half-life of C-14 is 5700 years. b
  3. g Guide—Get Recommendations & Build Your Watchlist No

The half-life of Carbon 14, that is, the amount of time it takes for half of any amount of Carbon 14 to decay, is approximately 5730 years. Suppose we have a preserved plant and that the plant, at the time it died, contained 10 micrograms of Carbon 14 (one microgram is equal to one millionth of a gram) Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0. If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth By the time 5730 years have passed, we would expect to only have 50 carbon-14 atoms remaining. Remember, the half life is the time it takes for half of them to change. There are still the same total number of atoms, just not as many carbon-14 as we started with The half life for the decay of carbon-14 is 5.73 x 103 years. Suppose the activity due to the radioactive decay of the carbon-14 in a tiny sample of an artifact made of wood from an archeological dig is measured to be 63. Bq. The activity in a similar-sized sample of fresh wood is measured to be 68. Bq. Calculate the age of the artifact proportion of carbon-14 in their bones can be used to tell how long it is since they died. Carbon-14 has a half-life of 5700 years. (i)€€€€€ A bone in a living human contains 80 units of carbon-14. An identical bone taken from a skeleton found in an ancient burial ground contains 5 units of carbon-14. Calculate the age of the skeleton

A human piece of pottery is dated at 42250 years old by using carbon-14. How many half lives have passed since the pottery was made? Our env professor gave us homework on calculating half life but gave us literally no lessons on how to do it whatsoever so his very words were find out how to do it yourself and do whatever you can to find. A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay. For example, if the half-life of a 50.0 gram sample is 3 years, then in 3 years only 25 grams would remain. During the next 3 years, 12.5 grams would remain and so on. N t = mass of radioactive material at time interval (t If the half-life is 5600 years then the sample must be 5600 x 2 = 11 200 years old. Counting carbon-14 atoms directly: another way of calculating age. You can use a much smaller sample of the material you want to test if you count the carbon-14 atoms directly rather than having to wait for them to decay. Even this kind of carbon dating can only.

The half-life of carbon-14 is 5,730 years. The half-life can be used to calculate the age of a sample containing carbon-14. Carbon dating is very useful but also has its limitations. Question. If a specimen sample had an amount of carbon-14 which was 25 If a radioisotope has a half-life of 14 days, half of its atoms will have decayed within 14 days. In 14 more days, half of that remaining half will decay, and so on. Half lives range from millionths of a second for highly radioactive fission products to billions of years for long-lived materials (such as naturally occurring uranium) In the red is the half-life of carbon-14, green is the mass, blue is the time, and the yellow is the second mass. 1. Solve for the second mass (yellow) Type in 5730 and hit enter Type in 128 and hit enter Type in 11460 and hit enter To solve for Mass2 type in 0 (zero) *The answer should be 32* 2

ChemTeam: Half-life problems involving carbon-1

  1. decay is a fixed rate called a half-life. The half-life of a radioactive isotope refers to the amount of time required for half of a quantity of a radioactive isotope to decay. Carbon-14 has a half-life of 5,730 years, which means that if you take one gram of carbon-14, half of it will decay in 5,730 years
  2. There are three carbon isotopes that occur as part of the Earth's natural processes; these are carbon-12, carbon-13 and carbon-14. The unstable nature of carbon 14 (with a precise half-life that makes it easy to measure) means it is ideal as an absolute dating method
  3. The formula for half-life in chemistry depends on the order of the reaction. For a zero order reaction, the formula is t½ = [Ao] / 2k. For a first order reaction, t½ = 0.693 / k, and for a second order reaction, t½ = 1 / k [Ao]. Half-life, or t½, is the time that elapses before the concentration of a reactant is reduced to half its initial.
  4. The Half Life of Uranium-238 is 4,500,000,000 years. There is even a radioactive isotope of carbon, carbon-14. Normal carbon is carbon-12. C-14 has two extra neutrons and a half-life of 5730 years. Scientists use C-14 in a process called carbon dating. Carbon dating is when scientists try to measure the age of very old substances

Calculating half life using carbon-14 - YouTub

Half-Life continued 8. Carbon-14 has a half-life of 5730 y. How much of a 144 g sample of carbon-14 will remain after 1.719 × 104y? 9. If the half-life of uranium-235 is 7.04 × 108 y and 12.5 g of uranium-235 remain after 2.82 × 109 y, how much of the radioactive isotope was in the original sample You can put this solution on YOUR website! Carbon (C) has three naturally occurring isotopes. Both C-12 and C-13 are stable, but C-14 is radioactive and decays to nitrogen-14 with a half-life of approximately 5,730 years Carbon-14 is special for two reasons. With 14 C, we can only calculate the age of something that was once living (contains organic carbon). Since (most) rocks were never alive, we can't use this to date a rock. The half life of 14 C is geologically short -- 5730 years -- and is therefore not useful for materials older than about 35,000 years. Decay of carbon-14 used in radioactive dating. A sample of wood taken from a freshly felled tree contains 10 grams of carbon. How many atoms of carbon-14 are decaying each second in the sample? The abundance of carbon-14 in atmospheric carbon and in living matter is 1.2 part in a trillion (1.2 x 10-12). The half-life of carbon-14 is 5,700 years.

BioMath: Carbon DatingDebate Issue: Creationism (Pro) vs Evolution (Con

Calculation of Carbon-14 Decay Used in Radioactive Datin

Carbon-14 has a half-life of 5,730 years. Scientists determine the ages of once-living things by measuring the amount of carbon-14 in the material. For biological objects older than 50,000 years, scientists use radioactive dating to determine the age of rocks surrounding where the material was found Radioactivity. Measuring Half-life from a Graph.. How can Half-life be Measured from a Graph?. A graph showing how the count rate decreases as time goes by will have a curve like the one shown in the picture below. For any particular radioisotope the count rate and time will be different but the shape of the curve will be the same. The easiest way to measure the half-life from the graph is t Each given sample of Carbon $14$ would have to be treated individually on an experimental basis and if many experiments were conducted, an expected $68$ percent would give a half-life measured between $5690$ and $5770$ years Carbon-14 has a half life of 5730 years, meaning that 5730 years after an organism dies, half of its carbon-14 atoms have decayed to nitrogen atoms. Similarly, 11460 years after an organism dies, only one quarter of its original carbon-14 atoms are still around

Carbon 14 Dating Calculato

Carbon-14 dating, method of age determination that depends upon the decay to nitrogen of radiocarbon (carbon-14). Carbon-14 is continually formed in nature by the interaction of neutrons with nitrogen-14 in the Earth's atmosphere. Learn more about carbon-14 dating in this article carbon dating - a method of determining the age of substances that contain organic material by looking that the ratio of carbon-12 to carbon-14 they contain. half-life - the time it takes for half of a radioactive substance to decay. radioactive decay - the spontaneous emission of charged particles and/or energy from an atom

5.7: Calculating Half-Life - Chemistry LibreText

Carbon-14 has a half-life of 5700 years. (i) A bone in a living human contains 80 units of carbon-14. An identical bone taken from a skeleton found in an ancient burial ground contains 5 units of carbon-14. Calculate the age of the skeleton. Show clearly how you work out your answer. 80 to 40 - First half life. 40 to 20 - Second half life (a) Calculate the number of neutrons present in a carbon 14 nucleus. (b) State what is meant by the term half-life. (c) (i) A sample of living wood has an activity of 16 counts min-1 per gram. Calculate the activity of a 20 g sample of living wood. (ii) Hence calculate the activity of a 20 g sample of wood from a tree that died 17 10 Carbon-14. The only cosmogenic radionuclide to make a significant contribution to internal exposure of human is carbon-14. Radioactive carbon-14 has a half-life of 5730 years and undergoes β− decay, where the neutron is converted into a proton, an electron, and an electron antineutrino:. Beta decay of C-14 nucleus Carbon 14 dating is not great for dating things like a year old because if much less than 1 half-life has passed, barely any of the carbon 14 has decayed, and it is difficult to measure the difference in rates and know with certainty the time involved

How to Determine the age of a fossil using carbon-14

Thermal ionization mass spectrometer used in radiometric dating. Radiometric dating calculates an age in years for geologic materials by measuring the presence of a short-life radioactive element, e.g., carbon-14, or a long-life radioactive element plus its decay product, e.g., potassium-14/argon-40 The older an organism's remains are, the less beta radiation it emits because its C-14 is steadily dwindling at a predictable rate. So, if we measure the rate of beta decay in an organic sample, we can calculate how old the sample is. C-14 decays with a half-life of 5,730 years Therefore, if we know how much carbon-14 was originally present in an object and how much carbon-14 remains, we can determine the age of the object. The half-life of carbon-14 is approximately 5730 years—meaning, after that many years, half the material has converted from the original carbon-14 to the new nonradioactive nitrogen-14 For example, carbon has two isotopes, C-12 and C-14. Both have the same atomic number of 6, but have different numbers of neutrons. C-14 has two extra neutrons, is radioactive and undergoes radioactive decay. Half-life is the amount of time required for half of a quantity of a radioactive element to decay. Carbon-14 has a half-life of 5730 years

Radioactive DecayHow To Calculate Half Life BiologyHow do we know how old a rock is? — Kevin KurtzCarbon dating math problems
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