College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 29, Problem 3CQ
(a)
To determine
The fraction of sample remaining after one half-life.
(b)
To determine
The fraction of sample remaining after two half-lives.
(c)
To determine
The fraction of sample remaining after three half-lives.
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What fraction of a radioactive sample remains after (a) one, (b) two, and (c) three half-lives have elapsed?
A certain radioactive nuclide decays with a disintegration constant of 0.0256 h1. (a) Calculate the half-life of this nuclide. What
fraction of a sample will remain at the end of (b) 4.37 half-lives and (c) 12.8 days?
(a) Number
2.71e+1
Units
hours
(b) Number
484e-2
Units
This answer has no units+
(c) Number
3.31e-1
Units
State the law of radioactive decay.
Plot a graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half life T1/2 . Depict in the plot the number of undecayed nuclei at
(i) t = 3 T 1/2 and
(ii) t = 5 1/2
Chapter 29 Solutions
College Physics
Ch. 29.3 - Prob. 29.1QQCh. 29.3 - What fraction of a radioactive sample has decayed...Ch. 29.3 - Prob. 29.3QQCh. 29.6 - Prob. 29.4QQCh. 29.6 - Prob. 29.5QQCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQ
Ch. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - A radioactive sample has an activity R. For each...Ch. 29 - Prob. 9CQCh. 29 - Prob. 10CQCh. 29 - Prob. 11CQCh. 29 - Prob. 12CQCh. 29 - Prob. 13CQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Using 2.3 1017 kg/m3 as the density of nuclear...Ch. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Two nuclei having the same mass number are known...Ch. 29 - Prob. 16PCh. 29 - Radon gas has a half-life of 3.83 days. If 3.00 g...Ch. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - The Mass of 56Fe is 55.934 9 u, and the mass of...Ch. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51APCh. 29 - Prob. 52APCh. 29 - Prob. 53APCh. 29 - Prob. 54APCh. 29 - Prob. 55APCh. 29 - Prob. 56APCh. 29 - Prob. 57APCh. 29 - Prob. 58APCh. 29 - Prob. 59APCh. 29 - Prob. 60APCh. 29 - Prob. 61APCh. 29 - Prob. 62AP
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- Suppose 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_forwardIf a 1.50cmthick 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_forwardIf 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_forward
- A radioactive sample initially contains 2.40102 mol of a radioactive material whose half-life is 6.00 h. How many moles of the radioactive material remain after 6.00 h? After 12.0 h? After 36.0 h?arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forwardis the heaviest stable nuclide, and its BEN is low compared with medium-mass nuclides. Calculate BEN for this nucleus and compare it with the approximate value obtained from the graph in Figure 10.7. fission of nuclei with mass numbers greater than that of Fe. are othermic processes.arrow_forward
- (a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardA radioactive sample has an activity R. For each of the following changes, indicate whether the activity would increase, decrease. or remain unchanged. Indicate your answers with I, D, or U. (a) The number of radioactive nuclei in the sample is doubled. (b) The half-life of the radioactive nuclei is doubled. (c) The decay constant is doubled. (d) A time period equal to two half-lives is allowed to elapse.arrow_forwardDerive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forward
- 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,…arrow_forwardA certain radioactive nuclide decays with a disintegration constant of 0.0256h1.(a) Calculate the half-life of this nuclide. What fraction of a sample will remain at the end of (b) 4.37 half-lives and (c) 12.8 days? (a) Number Units (b) Number Units (c) Number Unitsarrow_forwardA radioactive source consists of 6.4 x 10^11 atoms of a nuclide of a half-life of 2 days. A second source consists of 8.0 x 10^10 atoms of another nuclide of half-life 3 days. After how many days will the number of radioactive atoms in the two sources are equal *arrow_forward
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Half life | Radioactivity | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=IDkNlU7zKYU;License: Standard YouTube License, CC-BY