Interpretation:
The
Concept Introduction:
For calculating the age of a rock sample, radiological dating is taken into consideration, which is based on the half-lives of radio nuclides. It uses radiological dating pair of isotopes that undergo ‘parent’ to ‘daughter’ radioactive disintegrations. Carbon dating is one such method for finding the age of an organic sample.
The carbon dating method involves comparative measurements of the ratio of
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- Fill in the missing parts of the following reactions. a 1327Al+13H1227Mg+? b 612C(11H,?)614Carrow_forwardFluorine-18 is a radioactive isotope that decays by positron emission to form oxygen-18 with a half-life of 109.7 min. (A positron is a particle with the mass of an electron and a single unit of positive charge; the equation is F918O188+e+10 Physicians use 18F to study the brain by injecting a quantity of ?uoro-substituted glucose into the blood of a patient. The glucose accumulates in the regions where the brain is active and needs nourishment. (a) What is the rate constant for [lie decomposition of ?uorine-18? (b) If a sample of glucose containing radioactive fluorine-18 is injected into the blood, what percent of the radioactivity will remain after 5.59 h? (c) How long does it take for 99.99% of the 18F to decay?arrow_forwardThe radioactive isotope 64Cu is used in the form of copper(II) acetate to study Wilsons disease. The isotope has a half-life of 12.70 hours. What fraction of radioactive copper(II) acetate remains after 64 hours?arrow_forward
- The isotope S3890r one of the extremely hazardous species in the residues from nuclear power generation. The strontium in a 0.500-g sample diminishes to 0.393 g in 10.0 y. Calculate the half-life.arrow_forwardPhosphorus-32 is a commonly used radioactive nuclide in biochemical research, particularly in studies of nucleic acids. The half-life of phosphorus-32 is 14.3 days. What mass of phosphorus-32, in milligrams, is left from an original sample of 175 mg of Na 32PO, after 31.1 days? Assume that the atomic mass of 32P is 32.0.arrow_forwardThe half life for the radioactive decay of potassium-40 to argon-40 is 1.26 x 10 years. Suppose nuclear chemical analysis shows that there is 0.543 mmol of argon-40 for every 1.000 mmol of potassium-40 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits. years Ox10 ?arrow_forward
- The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 × 10 years. Suppose nuclear chemical analysis shows that there is 0.852 mmol of nitrogen-14 for every 1.000 mmol of carbon-14 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits.arrow_forwardRadon, one of the noble gases, is a decay product of uranium and is itself radioactive, with a half-life of 3.8 days3.8 days. As a heavy gas, radon can accumulate in low areas such as basements and crawl spaces. Consequently, radon is considered a significant source of air pollution and radiation exposure and, according to the EPA, is the second most frequent cause of lung cancer in the United States. Write the nuclear equation for the alpha decay of Rn‑222. nuclear equation:arrow_forwardIf the amount of radioactive sodium-24, used for studies of electrolytes within the body, in a sample decreases from 1.6 to 0.2 mg in 45.0 h, what is the half-life of sodium-24?arrow_forward
- (a) If exactly 1.00 μg of 226Ra was used to paint the glow-in-the-dark dial of a wristwatch made in 1914, how radioactive is the watch in 1955? Express your answer in becquerels (Bq). The half-life of 226Ra is 1.60 ×× 103 years. (b) Express your answer from above in microcuries (μCi).arrow_forwardThe half life for the radioactive decay of potassium-40 to argon-40 is 1.26 × 10⁹ years. Suppose nuclear chemical analysis shows that there is 0.897 mmol of argon-40 for every 1.000 mmol of potassium-40 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits. years x10 X ?arrow_forwardPhosphorus-32 is a commonly used radioactive nuclide in biochemical research, particularly in studies of nucleic acids. The half-life of phosphorus-32 is 14.3 days. What mass of phosphorus-32, in milligrams, is left from an original sample of 175 mg of Na₃³²PO₄ after 37.6 days? Assume that the atomic mass of ³²P is 32.0.arrow_forward
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