Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 38, Problem 57P
Analysis of a Moon rock shows that 82% of its initial K-40 has decayed to AMO, a process with a half-life of 1.2 × 109 years. How old is the rock?
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Potassium (40K) decays to Argon (40Ar) with a half-life value of 1.3 billion years. 40K is the parent isotope and 40Ar is the daughter isotope. Laboratory analysis of a rock sample showed that there are 0.13ppm of 40K and an equal amount of 40Ar in the rock. (ppm: parts per million)
Based on the laboratory results, ________________ half-live(s) have elapsed and the age of the rock is __________.
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Chapter 38 Solutions
Essential University Physics
Ch. 38.1 - Prob. 38.1GICh. 38.2 - Prob. 38.2GICh. 38.3 - Prob. 38.3GICh. 38.4 - Prob. 38.4GICh. 38.5 - Prob. 38.5GICh. 38 - Prob. 1FTDCh. 38 - Prob. 2FTDCh. 38 - Prob. 3FTDCh. 38 - Prob. 4FTDCh. 38 - Why are iodine-131 and strontium-90 particularly...
Ch. 38 - Prob. 6FTDCh. 38 - Prob. 7FTDCh. 38 - Prob. 8FTDCh. 38 - Prob. 9FTDCh. 38 - Prob. 10FTDCh. 38 - Three radon isotopes have 125, 134, and 136...Ch. 38 - Prob. 12ECh. 38 - Prob. 13ECh. 38 - Prob. 14ECh. 38 - Prob. 15ECh. 38 - How many half-lives will it take for the activity...Ch. 38 - Prob. 17ECh. 38 - Prob. 18ECh. 38 - Prob. 19ECh. 38 - Prob. 20ECh. 38 - Prob. 21ECh. 38 - Find the total binding energy of oxygen-16, given...Ch. 38 - Determine the nuclear mass of nickel-60, given...Ch. 38 - Prob. 24ECh. 38 - Prob. 25ECh. 38 - Prob. 26ECh. 38 - Prob. 27ECh. 38 - Prob. 28ECh. 38 - Prob. 29ECh. 38 - Prob. 30ECh. 38 - Prob. 31ECh. 38 - Prob. 32ECh. 38 - Prob. 33ECh. 38 - Prob. 34ECh. 38 - Prob. 35ECh. 38 - Prob. 36ECh. 38 - Prob. 37ECh. 38 - Prob. 38ECh. 38 - Prob. 39ECh. 38 - Prob. 40ECh. 38 - Prob. 41ECh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Iron-56, with nuclear mass 55.9206 u, is among the...Ch. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Nitrogen-13 is a 9.97-min-half-lifc isotope used...Ch. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53PCh. 38 - Prob. 54PCh. 38 - The table below lists reported levels of...Ch. 38 - Prob. 56PCh. 38 - Analysis of a Moon rock shows that 82% of its...Ch. 38 - Prob. 58PCh. 38 - Prob. 59PCh. 38 - Prob. 61PCh. 38 - Prob. 62PCh. 38 - Prob. 63PCh. 38 - Prob. 64PCh. 38 - Prob. 65PCh. 38 - Prob. 66PCh. 38 - Prob. 67PCh. 38 - Prob. 68PCh. 38 - Prob. 69PCh. 38 - Prob. 70PCh. 38 - Prob. 71PCh. 38 - Prob. 72PCh. 38 - Prob. 73PCh. 38 - Prob. 74PCh. 38 - Bismuth-209 and chromium-54 combine to form a...Ch. 38 - Prob. 76PCh. 38 - Prob. 77PCh. 38 - Prob. 78PCh. 38 - Prob. 79PCh. 38 - Prob. 80PCh. 38 - Prob. 81PCh. 38 - Prob. 82PCh. 38 - Prob. 83PCh. 38 - Prob. 84PCh. 38 - Prob. 85PCh. 38 - Prob. 86PPCh. 38 - Prob. 87PPCh. 38 - Prob. 88PPCh. 38 - Prob. 89PP
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- If a 1.50-cm-thick piece of lead can absorb 90.0% of the rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the rays?arrow_forwardWhat fraction of a radioactive sample has decayed after two half-lives have elapsed?arrow_forwardSuppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0arrow_forward
- Consider a small pot with a copper base. The base has a thickness of 2.0 mm and a diameter of 15 cm. Water in this pot is boiling at 100 °C. Heat transfer rate is estimated at 250,000 J/s. Assume that heat enters the water only from the bottom of the pot through the copper base. Find the temperature of the heating element on which the copper bottom rests. 200 720arrow_forwardA) How much mass is left in a piece of animal skin after 17,145 years when a newly made piece of leather about the same size contains approximately 5603g of C-14? The half-life of C-14 is 5,715 years. B)How many years old is a piece of fossilized charcoal if the fossil contains 13.289g of C-14 when a new piece of charcoal of similar size contains 6803.9g? The half-life of C-14 is 5,715 years.arrow_forward866-0 hours. A radioactive sample contains 1.55g of of an isotope with half a life of 3.8 days. How much of the in grams remain after 150 tope 11.4 days?arrow_forward
- A fossil is found that contains 6.25% as much Radium-226 as fossils being formed today. The half-life of Radium -226 is 1.60 x103 years. How old is the fossil? Hint: How many half-lives did the Radium-226 go through for 6.25% to remain? So, how many years have passed over 4 half lives?arrow_forwardDetermine the age of a certain rock sample: carbon -14 half life = 5730 years. An archeology dig unearths a skeleton. Analysis shows is a C-14 activity of 1Cpm per gram of total carbon. Approximately how old is the skeleton?(Original C-14 Activity= 16Cpm)arrow_forwardPotassium-argon dating is used to measure the age of rocks formed from cooled lava by determining the fraction of the original 40K remaining in a sample from the ratio of 40K:40Ar. Unusually, potassium-40 decays into both 40Ca (89.1% of the time) and 40Ar (10.9% of the time) with a half-life of 1:248 x 10^9 years.1. What is the calculated age of a sample in which the faction of 40K remaining was found to be 0.0043?2. Is this result physically plausible?arrow_forward
- Material found with the body had a C-14 activity of about 0.215 Bq per gram of carbon, where the A0 = 0.23 Bq per gram. If the half-life of C-14 is 5730yrs, determine the age of the Iceman’s remains.arrow_forward17: A sample of U-235 started with 120 grams. If the half-life of U-235 has a half-life of 704,000,000 years how much would be left after a time period of 3.52 Billion years? Group of answer choices A:5.26 g B:12.4 g C:8.94 g D:3.75 g E:15.8 garrow_forwardAssume that the decay rate for Carbon 14 is k=0.00012. If charcoal found in an ancient fire pit retains 30% of its original C-14 radioactivity, how old is the fire pit?arrow_forward
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