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In an archaeological dig, a wooden boat is found.  Radiocarbon analysis reveals that the wood has a 14C/12C ratio that is 72.5% of that found in living organisms. 

Carbon-14 radioactive decays follows  -order kinetics.

From your textbook, what is the carbon-14 half-life value, in years? 

What is the value of the kinetic rate constant, k, associated with this half-life?  (in yr-1)

Approximately how old, in years, is this boat? 

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Carl David CepedaLv10
28 Apr 2021
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Related questions

A wooden boat discovered just south of the Great Pyramid in Egypt had a carbon-14 content of approximately 3.1 % of that found in living organisms. How old is the boat? (The half-life of carbon-14 is 5715 years.)

Use Two sig figs for the answer

please answer the question using years

IF YOU DO NOT FEEL LIKE ANSWERING ALL THREE QUESTIONS DO NOT ATTEMPT TO ANSWER JUST ONE!!!!!!!!!!!!!!!!!!!!!!!!!

ANSWER ALL THREE QUESTIONS ALL ALL SECTIONS OF EACH QUESTION TO RECEIVE A GOOD REVIEW.

2)Each of the nuclides listed below decays either by beta emission or by positron emission. Predict which type of decay each will undergo and select the nuclides that decay by beta emission. This list contains three beta emitters and three positron emitters.

11747Ag

20680Hg

2413Al

85B

156C

106C

3)One atom of 73Li has a mass of 7.016 amu. By comparison, one proton is 1.0072765 amu, one neutron is 1.0086650 amu and one electron is 0.0005486 amu. Perform these calculations for 73Li.

(a) Calculate the mass defect in amu for a single atom.
______________ amu

(b) Calculate the mass defect in kg for a single atom.
______________ kg

(c) Calculate the nuclear binding energy in J for a single atom.
______________ J

(d) Calculate the nuclear binding energy in kJ per mol of atoms.
______________ kJ/mol

(e) Calculate the nuclear binding energy per nucleon for a single atom.
______________J

4)Among the discoveries in an ancient archeological site is a wooden artifact that has been buried since the site was abandoned long ago. This wood is to be used to find the age of the site by radiocarbon dating. In modern living tissue, 14C has 0.00000000012% of the abundance of 12C (1.2 parts per trillion, ppt). The carbon isotopes in the wooden artifact are analyzed and it is found that its 14C has 0.741 ppt of the abundance of its 12C.

(a) How many years does it take for the abundance of 14C to decay from 1.2 ppt to 0.741 ppt? The half life of 14C is 5730 years.
_________ years

(b) Radiocarbon dating has been calibrated by comparing the radiocarbon ages of many thousands of samples to their actual ages, determined from things like historical artifacts, annual tree growth rings, annual coral growth rings, annual stalagmite growth rings, annual lake and ocean sediment deposition layers, annual glacial deposition layers, etc. Things that are known to be as old as the artifact in this site have been found to give radiocarbon dates that are approximately 475 years younger than their actual age. Use this to find the best estimate for the age of this archeological site.
________________years before present

An important example of beta-decay is that of 14C, which is used inradio-active dating:
14C ? 14N + ?- + ve
The half-life of this decay is 5730 years. The radioactive isotope14C nuclei is produced in the upper atmosphere from nuclearreactions caused by cosmic rays. The chemical behavior of carbonatoms with 14C nuclei is the same as those with ordinary 12Cnuclei, e.g., atoms with these nuclei combine with oxygen to formCO2 with the atmosphere, the ratio of 14C to 12C in a livingorganism is the same as the equilibrium ratio in the atmosphere,which is about 1.3x10-12. When an organism dies, it no longerabsorbs 14C from the atmosphere, so that the ratio 14C/12Ccontinually decreases due to the radioactive decay of 14C. Ameasurement of the decay rate per gram of carbon thus allows thecalculation of the time of death of organism.

(a) Using the above information, show that the decay rate per gramof carbon of a living orgamism is 15 decays per minute per gram ofcarbon.

(b) A bone containing 200 g of carbon has a beta-decay rate of 400decays/min. How old is the bone?

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