University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 43, Problem 43.59P
(a)
To determine
The number of half-lives has the
(b)
To determine
The fraction of the original
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Chapter 43 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 43.1 - Prob. 43.1TYUCh. 43.2 - Rank the following nuclei in order from largest to...Ch. 43.3 - Prob. 43.3TYUCh. 43.4 - Prob. 43.4TYUCh. 43.5 - Prob. 43.5TYUCh. 43.6 - Prob. 43.6TYUCh. 43.7 - Prob. 43.7TYUCh. 43.8 - Prob. 43.8TYUCh. 43 - Prob. 43.1DQCh. 43 - Prob. 43.2DQ
Ch. 43 - Prob. 43.3DQCh. 43 - Prob. 43.4DQCh. 43 - Prob. 43.5DQCh. 43 - Prob. 43.6DQCh. 43 - Prob. 43.7DQCh. 43 - Prob. 43.8DQCh. 43 - Prob. 43.9DQCh. 43 - Prob. 43.10DQCh. 43 - Prob. 43.11DQCh. 43 - Prob. 43.12DQCh. 43 - Prob. 43.13DQCh. 43 - Prob. 43.14DQCh. 43 - Prob. 43.15DQCh. 43 - Prob. 43.16DQCh. 43 - Prob. 43.17DQCh. 43 - The most common radium isotope found on earth,...Ch. 43 - Prob. 43.19DQCh. 43 - Prob. 43.20DQCh. 43 - Prob. 43.1ECh. 43 - Prob. 43.2ECh. 43 - Prob. 43.3ECh. 43 - Prob. 43.4ECh. 43 - Prob. 43.5ECh. 43 - Prob. 43.6ECh. 43 - Prob. 43.7ECh. 43 - Prob. 43.8ECh. 43 - Prob. 43.9ECh. 43 - Prob. 43.10ECh. 43 - Prob. 43.11ECh. 43 - Prob. 43.12ECh. 43 - Prob. 43.13ECh. 43 - Prob. 43.14ECh. 43 - Prob. 43.15ECh. 43 - Prob. 43.16ECh. 43 - Prob. 43.17ECh. 43 - Prob. 43.18ECh. 43 - Prob. 43.19ECh. 43 - Prob. 43.20ECh. 43 - Prob. 43.21ECh. 43 - Prob. 43.22ECh. 43 - Prob. 43.23ECh. 43 - Prob. 43.24ECh. 43 - Prob. 43.25ECh. 43 - Prob. 43.26ECh. 43 - Measurements on a certain isotope tell you that...Ch. 43 - Prob. 43.28ECh. 43 - Prob. 43.29ECh. 43 - Prob. 43.30ECh. 43 - Prob. 43.31ECh. 43 - Prob. 43.32ECh. 43 - Prob. 43.33ECh. 43 - Prob. 43.34ECh. 43 - Prob. 43.35ECh. 43 - Prob. 43.36ECh. 43 - Prob. 43.37ECh. 43 - Prob. 43.38ECh. 43 - Prob. 43.39ECh. 43 - Prob. 43.40ECh. 43 - Prob. 43.41ECh. 43 - Energy from Nuclear Fusion. Calculate the energy...Ch. 43 - Prob. 43.43ECh. 43 - Prob. 43.44ECh. 43 - Prob. 43.45ECh. 43 - Prob. 43.46ECh. 43 - Prob. 43.47PCh. 43 - Prob. 43.48PCh. 43 - Prob. 43.49PCh. 43 - Prob. 43.50PCh. 43 - Prob. 43.51PCh. 43 - Prob. 43.52PCh. 43 - Prob. 43.53PCh. 43 - Prob. 43.54PCh. 43 - Prob. 43.55PCh. 43 - Prob. 43.56PCh. 43 - Prob. 43.57PCh. 43 - Prob. 43.58PCh. 43 - Prob. 43.59PCh. 43 - Prob. 43.60PCh. 43 - Prob. 43.61PCh. 43 - Prob. 43.62PCh. 43 - Prob. 43.63PCh. 43 - Prob. 43.64PCh. 43 - Prob. 43.65PCh. 43 - Prob. 43.66PCh. 43 - Prob. 43.67PCh. 43 - Prob. 43.68PCh. 43 - DATA Your company develops radioactive isotopes...Ch. 43 - Prob. 43.70PCh. 43 - Prob. 43.71CPCh. 43 - Prob. 43.72CPCh. 43 - Prob. 43.73PPCh. 43 - Prob. 43.74PPCh. 43 - Prob. 43.75PPCh. 43 - Prob. 43.76PPCh. 43 - Prob. 43.77PP
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- (a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mates? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109, since there are far more particles (such as photons and neutrinos) in space than in luminous matter.arrow_forwardThe half-lives of 235U and 238U are 7.04 × 108 years and 4.47 × 109 years, respectively, and the present abundance ratio is 238U>235U 5 137.7. It is thought that their abundance ratio was 1 at some time before our earth and solar system were formed about 4.5 × 109 years ago. Estimate how long ago the supernova occurred that supposedly produced all the uranium isotopes in equal abundance, including the two longest lived isotopes, 238U and 235U.arrow_forwardWhat is the binding energy of 12C? The mass of an atom of 12C is 12 u (exactly), of an atom of 'H is 1.007825 u, and of a neutron is 1.0086649 u.arrow_forward
- The sun generates its energy through nuclear fusion, making helium from hydrogen. The main process by which this happens, called the proton-proton chain, goes as follows: Two protons come together to create deuterium, a positron, a neutrino, and energy: p + p ⟶ D + e+ + ν + energy The deuterium fuses with another proton to make 3He: D + p ⟶ 3He + energy Fianlly, 4He is produced by fusing two 3He nuclei together: 3He + 3He ⟶ 4He + p + p + energy What is the total energy released during the creation of one 4He nucleus? Give your answer in MeV, and remember that you need to make two 3He nuclei in the process. Be sure to use at least five significant figures for your masses, but your final answer should have three or four sig figs.arrow_forwardA short-lived radioactive isotope has a half-life of T1/2 = 6.06 seconds. What is its decay constant (λ) in s-1?arrow_forwardWhat is the binding energy, in amu, of 13C? Masses are: proton = 1.00728 amu, neutron = 1.00867 amu, electron = 0.00055 amu, and 13C = 13.00335 amu.A) 0.10432 amuB) 0.0102 amuC) 0.10487 amuD) 0.10817 amuE) 0.00335 amuarrow_forward
- How long would it take half of the atoms of 146C to decay into 147N? The half-life of 146C is 5,730 years.arrow_forwardA 12.0 g sample of carbon from living matter decays at the rate of 184 decays/minute due to the radioactive 14C in it. What will be the decay rate of this sample in (a) 1000 years and (b) 50,000 years?arrow_forwardCalculate the energy Er, in megaelectronvolts (MeV), released in the following nuclear fission reaction: Cm(250) + n → Se(92) + Sm(153) + 6n The atomic masses are Cm(250)=250.078357 u, Se(92)=91.949926 u, and Sm(153)=152.922097 u. Er = ? MeVarrow_forward
- The Sun and all Main Sequence stars derive their luminosity by fusing hydrogen to helium; in particular 4 1H ® 1 4He + Energy (photons) The mass of a proton is 1.0078 AMU, while the mass of a helium nucleus is 4.0026 AMU. a) How much mass is ``lost'' (in AMU and kg) in fusing four H atoms to one helium? This is called the mass defect. b) Mass isn't really lost, of course. It is converted to energy via E=mc2. How much energy in joules (J) is liberated in a single reaction? c) How many reactions per second are required to account for the entire luminosity of the Sun?arrow_forward235U decays to 207Pb via the decay series as shown. The first decay in the chain, that of 235U, has a halflife of 7.0 × 108 years. The subsequent decays are much more rapid, so we can take this as the half-life for the complete decay of 235U to 207Pb. Certain minerals exclude lead but not uranium from their crystal structure, so when the minerals form they have no lead, only uranium. As time goes on, the uranium decays to lead, so measuring the ratio of lead atoms to uranium atoms allows investigators to determine the ages of the minerals. If a sample of a mineral contains 3 atoms of 207Pb for every 1 atom of 235U, how many years ago was it formed?arrow_forwardA sample of wood from an archaeological excavation is dated by using a mass spectrometer to measure the fraction of 14C atoms. Suppose 100 atoms of 14C are found for every 1.0 * 1015 atoms of 12C in the sample. What is the wood’s age?arrow_forward
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