14C decays to 12C with a half-life of about 5,700 years. Suppose you find a fossil in which the amount of 14C is only 1⁄8 of what one would find in a living organism with the same carbon content. Approximately how old is the fossil?

Q: A normal adult jawbone contains 200mg of Carbon-14 in a living person. If scientists found a jawbone…

A: Calculate the value of rate constant (k):

Q: A precursor of modern-day bison is Bison latifrons. A fossil found in North Dakota was dated with…

A: Given that : The half-life of 14C is 5730 years. The initial concentration of 14C is 100 %. Out of…

Q: In addition to C-14, K-40 is often used for archeological dating. K-40 decays to Ar- 40 by positron…

A: The rate of radioactive decay has been proven to be of first order kinetics. Using the understanding…

Q: Iodine -125 emits gamma rays when it decays to Tellerium -125 and has a half life of 60 days. If…

A: Given, half life of Iodine -125 t1/2 = 60 days            initial mass of Iodine -125 = 0.020 g The…

Q: Phosphorus-30, which has a half-life of 150 seconds, decays by positron emission. How long will it…

A: The Radioactive decay follows first-order kinetic and thereby its formulae. As we know, t1/2 × k =…

Q: A rock contains 0.257 mg of Pb-206 for every milligram of U-238.The half-life for the decay of U-238…

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Q: An old piece of wood has a carbon-14 content of 0.0156 times that 14 is the age of the old wood if…

A: We will use first order kinetics formula

Q: How old is a rock if the mineral biotite from the rock has 75,000 40K atoms and 25,000 40Ar atoms?…

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Q: a) If an object that was once living died 35,500 years ago, what is the exact percentage of the 14C…

A: a. The half life equation for decay is shown below: Where; Cfinal represents final concentration…

Q: A shell fossil that originally contained 100 mg of carbon-14 non contains 75 mg of the isotope.…

A: Initial amount, [A]0 = 100 mg  Final amount, [A] = 75 mg  Half-life, t1/2 = 5570 years

Q: 7. The age of an ancient tree trunk is estimated using radiocarbon dating. If the tree gives 3.75…

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Q: What is the half life of a radioactive sample , if 3/4 of its nuclei decay in 2 years ?

A: Given:The amount of nuclear decay in 2 years = ¾ th of initial massAssume that the initial mass =…

Q: Plutonium-239 (t12 = 2.41 × 10* yr) represents a serious nuclear waste hazard. If seven half-lives…

A: Given  Number of Half lives  ( n ) = 7  Half life time  ( t1/2 )    = 2.41 × 104  year  Time ( t )…

Q: Carbon-14 has a half-life of 5730  years . In a plant fossil, you find that the  14C  has decayed to…

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Q: Carbon-14 has a half life of 5730 years. In a plant fossil, you find that the 14C has decayed to…

A: Given that, half life , t12= of 5730 years. and  14C has decayed to 1/8.00 of the original amount

Q: A patient is given 0.050 ug of technetium-99m, a radioactive isotope with a half-life of about 6.0…

A: Given: Mass of technetium-99m = 0.050μg half life= 6.0 h Mass of technetium to decay= 1.0×10-3μg

Q: What is the half‑life of an isotope that decays to 6.25%6.25% of its original activity in 57.1 h?

A: The half-life of the isotopes can be described as the time at which the amount of the activity…

Q: If 29.5% of the original amount of 14C is present in a wooden tool at the time of analysis, what is…

A: Since the carbon decay is a first order kinetics reaction Hence for the first order reaction we can…

Q: Iodine – 125 emits gamma rays when it decays to Tellerium-125 and has a half-life of 60 days. If a…

A: The radioactive decay always follows the first order kinetics. The radioactive decay of I-125 must…

Q: Approximately how many half-lives must pass for the amount of radioactivity in a substance to…

A: Given, radioactivity of the substance decreases below 1% of its initial level.The initial percentage…

Q: A wooden statue found in Egypt has a carbon-14 content that is three-fifths of that found in living…

A: Given: A wooden statue found in Egypt has a carbon-14 content that is three-fifths of that found in…

Q: A sample of coral has a carbon-14 content of 12.5% the value of living coral.  If the half-life of…

A: Given  Half life of Carbon - 14 = 5730 years Remaining amount   = 12.5 %  Time ( t ) = ?

Q: 24 Am is used in many home smoke alarms. It has a decay half-life of 457 years. How long does it…

A: All radioactive decay follows first order kinetics. So in order to solve for the time required we…

Q: A fossil is found to have a 14C level of 68.0% compared to living organisms. How old is the fossil?

A: Using first order kinetics formula we can determine age of fossil.

Q: A normal adult jawbone contains 200 mg of Carbon-14 in a living person. If scientists found a…

A:

Q: 20. lodine - 125 emits gamma rays when it decays to Tellerium-125 and has a half-life of 60 days. If…

A:

Q: lodine - 125 emits gamma rays when it decays to Tellerium-125 and has a half-life of 60 days. If a…

A:

Q: Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric…

A: Given data is as follows: The initial amount of C-14, A° = 100 The amount left after time "t" , A=…

Q: 10. The 14C content of an ancient piece of wood was found to be one-sixteenth of that in living…

A: The question is based on the concept of carbon dating. We have been given the fraction of carbon…

Q: A normal adult jawbone contains 200 mg of Carbon-14 in a living person.  If scientists found a…

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Q: The Q value for the alpha decay of Tl203 is calculated to be 0.91 MeV from the masses of the initial…

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Q: NUCLEAR REACTIONS Nickel-56 decays with a half-life of 6.075 days. 1. Write the balanced nuclear…

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Q: A normal adult jaw bone contains 200mg of carbon -14 in a living person. If scientists found a…

A: Decay of C-14 follow 1st order kinetics λ (decay constant) = 0.693/t1/2 = 0.693 / 5730 years = 1.21…

Q: What is the estimated age of a material whose C-14 activity is only 30% that of living wood? (C-14…

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Q: Carbon extracted from an ancient skull contained only one-fifth as much 14C as carbon extracted from…

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Q: The half-life of 14C is 5,730 yr. Assuming some charcoal from a campfire 29,000 years old was found,…

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Q: The isotope 208Tl undergoes β decay with a half-life of 3.1 min.  How many minutes will it take for…

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Q: Given that the ratio of C/1C 13.6 counts per minute per gram living matter remains constant, if a…

A: This problem is based on radioactivity. Since all the radioactive reactions generally follows first…

Q: an artifiact has a carbon-14 concentration that is 12.5%(1/8th) of that found in living organisms.…

A:

Q: Cesium 137 is a commonly used isotope in the treatment of some cancers, someone you know may have…

A: The reactant given is Cesium 137 i.e 13755Cs.

Q: A piece of cloth is discovered in a burial pit in Benguet, Philippines. A tiny sample of the cloth…

A: Radioactive decay follows first order kinetics.  We know that : t = (1/k)*ln(a0/at) ...(1)  (a0/at)…

Q: Wood was excavated from Stonehenge and found, using 14C dating, to be 4500 years old. What is the…

A: Calculation of no. of molecules of 14-C in 1.0 g: N=given massMolar mass×6.022×1023 molecules=1.0…

Q: Carbon-14 has a half-life of 5730 yearsyears. In a plant fossil, you find that the 14C14C has…

A: Given data:

Q: 3. Natural thorium consists entirely of the alpha-radioactive isotopes 232Th which has a half-life…

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Q: 4. The remnants of an ancient fire in a cave in Africa showed a 'C decay rate of 3.9 counts per…

A: The half-life of a reaction is the time taken for the reactant to reduce to half its initial value…

Q: Zinc-62 decays with a half-life of 9.186 hours. 1. Write the balanced nuclear reaction of Zn-62 as…

A: As per the rules, only three sub-parts can be answered:

Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon -14 that is present in…

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Q: What is the approximate age of the artifact?

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Q: How old is a rock if the mineral biotite from the rock has 25,000 40K atoms and 75, 000 40Ar atoms?…

A: Every atoms of Ar produce from k. Answer 2.6 days