Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 11, Problem 16Q
To determine
To explain:
How the carbon-14 used to determine the age of wood bones and other artifacts?
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Students have asked these similar questions
Question A6
Potassium has a radioactive isotope, K-40, with a half-life of 1.25 billion years, and a natural abun-
dance of 0.012% (120 parts per million). Sea-water contains about 380 ppm of potassium (0.38
grams per litre), essential for life. Calculate the radioactivity of sea-water due to the potassium,
giving your answer in Bq m 1.
15 markal
This exercise uses the radioactive decay model.
The half-life of radium-226 is 1600 years. Suppose we have a 29-mg sample.
(a) Find a function m(t) = mo2-t/h that models the mass remaining after t years.
m(t)
1600
29 2
(b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to six decimal places
m(t) =
%3D
(c) How much of the sample will remain after 5000 years? (Round your answer to one decimal place.)
1 mg
(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)
X yr
A sample from human remains found near Stonehenge in
England shows that 71.2% of the carbon-14 still remains.
Use the model Q(1) = Qe-0.000121 to determine the age
of the sample. In this model, Q(t) represents the amount
of carbon-14 remaining t years after death, and Qo
represents the initial amount of carbon-14 at the time of
death. Round to the nearest 100 yr.
Chapter 11 Solutions
Inquiry into Physics
Ch. 11 - Prob. 1MACh. 11 - Prob. 1PIPCh. 11 - Prob. 2PIPCh. 11 - Prob. 1MIOCh. 11 - Prob. 1QCh. 11 - Prob. 2QCh. 11 - Prob. 3QCh. 11 - Prob. 4QCh. 11 - Prob. 5QCh. 11 - Prob. 6Q
Ch. 11 - Prob. 7QCh. 11 - Prob. 8QCh. 11 - Prob. 9QCh. 11 - Prob. 10QCh. 11 - Prob. 11QCh. 11 - Prob. 12QCh. 11 - Prob. 13QCh. 11 - Prob. 14QCh. 11 - Prob. 15QCh. 11 - Prob. 16QCh. 11 - Prob. 17QCh. 11 - Prob. 18QCh. 11 - Prob. 19QCh. 11 - Prob. 20QCh. 11 - Prob. 21QCh. 11 - Prob. 22QCh. 11 - Prob. 23QCh. 11 - Prob. 24QCh. 11 - Prob. 25QCh. 11 - Prob. 26QCh. 11 - Prob. 27QCh. 11 - Prob. 28QCh. 11 - Prob. 29QCh. 11 - Prob. 30QCh. 11 - Prob. 31QCh. 11 - Prob. 32QCh. 11 - Prob. 33QCh. 11 - Determine the nuclear composition (number of...Ch. 11 - The isotope helium-6 undergoes beta decay. Write...Ch. 11 - Prob. 3PCh. 11 - A nucleus of oxygen-15 undergoes electron capture....Ch. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - . A Geiger counter registers a count rate of 4,000...Ch. 11 - Prob. 14PCh. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - Prob. 1CCh. 11 - Prob. 2CCh. 11 - Prob. 3CCh. 11 - Prob. 4CCh. 11 - Prob. 5CCh. 11 - Prob. 6CCh. 11 - Prob. 7C
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- His case. ewent 5. A radioactive isotope, Selenium, used in the creation of medical images of the pancreas, has a half-life of 119.77 days. If 100 milligrams are given to a patient, how many milligrams are left after 20 days?arrow_forwardQ2(C). Use A(t )= A0ekt to determine how much of a 100-g sample is present after 250 years if the half-life of Uranium-232 is 68.9 years.arrow_forwardI am specifically having difficulty in solving part d of this problem. a) Calculate the number of grams of deuterium in a 54,300 L swimming pool, given deuterium is 0.0150% of natural hydrogen. (b) Find the energy released in joules if this deuterium is fused via the reaction 2H + 2H → 3He + n. (c) Could the neutrons be used to release more energy? (d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant. (Enter the ratio of the energy in the deuterium in the pool to the energy in a gallon of gasoline. The energy in a gallon of gasoline is 1.2 ✕ 108 J.) Edeuterium Egasoline =arrow_forward
- A sample contains 1,174 nuclei of a radioactive isotope of chromium. If the half-life is 33 days, how many of the radioactive nuclei were present one year earlier? (This year lasted 365 days.) Give your answer to 3 significant figures in scientific notation (e.g. 3.29E6)arrow_forwardA mummy is discovered in a re- cently unearthed tomb. Based on the other artifacts in the tomb, it is believed that the mummy is 3,000 years old. A small sample of bone from the mummy is burned, leaving behind 1.4 mg of carbon-12 ash. Based on this information, how much carbon-14 would need to be released while the bone was burn- ing for this age to be accurate? The estimated age of a mummy can be verified using carbon dating.arrow_forwardAn accident at a nuclear power plant has left the surrounding area polluted with radioactive material that decays naturally. The initial amount of radioactive material present is 42 su (safe units), and 5 months later it is still 31 su. a.) write a formula giving the amount A(t) of radioactive material (in su) remaining after t months. (Use integers or decimals for any numbers in the expression. Round to three decimal places needed.) b.) what amount of radioactive material will remain after 11 months? c.) how long will it be until A = 1 su, so it is safe for people to return to the area?arrow_forward
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