Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 38.2, Problem 38.2GI
To determine
The fraction of the original
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The radioactive gas krypton-85, produced by nuclear power plants as well as volcanoes, is present in trace amounts in earth’s atmosphere. Its half-life is 10.8 years. Suppose a volcano released 250 g of krypton-85 in an eruption. How much would remain after (a) 10.8 years, (b) 15 years, and (c) 50 years? Round to the nearest tenth of a gram.
Radioactive substances follow a specific law of decay.
Namely, if you have a sample of some radioactive isotope,
the quantity left after a certain time, called the half-life and
denoted T1/2, is one-half of what you had initially. If you wait
a second half-life, then there will be half f what was left at
the end of the first half-life. Since 1/2-1/2 = 1/4, you will
have one-fourth of the original quantity left after two half-lives.
You can continue with this procedure to find the fraction of the
original sample that hasn't decayed after any number of half-
lives. However, this would become quite cumbersome if you
are interested in the quantity left after, say, 10 half-lives. In
this case, the quantity you are looking for would be found by
multiplying the original quantity by 10 factors or 1/2.
To solve this problem, we use exponents. An exponent, a
small number written above and to the right, tells you how
many copies of a particular number are multiplied together. In
our example,…
Potassium-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?
Chapter 38 Solutions
Essential University Physics (3rd Edition)
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 - Prob. 5FTD
Ch. 38 - Why are iodine-131 and strontium-90 particularly...Ch. 38 - Prob. 7FTDCh. 38 - Prob. 8FTDCh. 38 - Prob. 9FTDCh. 38 - Prob. 10FTDCh. 38 - Prob. 11FTDCh. 38 - Prob. 12FTDCh. 38 - Prob. 13FTDCh. 38 - Prob. 14FTDCh. 38 - Explain the different approaches to the Lawson...Ch. 38 - Prob. 16FTDCh. 38 - Three radon isotopes have 125, 134, and 136...Ch. 38 - Prob. 18ECh. 38 - Prob. 19ECh. 38 - Prob. 20ECh. 38 - Prob. 21ECh. 38 - How many half-lives will it take for the activity...Ch. 38 - Prob. 23ECh. 38 - Prob. 24ECh. 38 - Prob. 25ECh. 38 - Prob. 26ECh. 38 - Prob. 27ECh. 38 - Prob. 28ECh. 38 - Use Fig. 38.9 to estimate the mass defect in...Ch. 38 - Find the total binding energy of oxygen-16, given...Ch. 38 - Determine the nuclear mass of nickel-60, given...Ch. 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 - As a geologist, youre assessing the feasibility of...Ch. 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 - Today, uranium-235 comprises only 0.72% of natural...Ch. 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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