EBK COLLEGE PHYSICS
3rd Edition
ISBN: 9780321989246
Author: Knight
Publisher: PEARSON CO
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Chapter 30, Problem 13CQ
To determine
How long have been the
14 C
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=
U is for Uranium. Natural uranium consists of 235U (percent abundance P₁ = 0.7300%, A₁ =
3.12 x 10-¹7 [s-¹]) and 233U (percent abundance P₂ = 99.27%, 2₂ = 4.92 × 10-¹8 [s-¹]).
Consider the time when Earth was formed 4.5 billion years ago.
Setup the time dependence of percent abundance of the two uranium isotopes. Use №₁ and N₂
as current particle count of the isotopes (use №₁,0 and N₂,0 for the initial particle count back
when Earth was formed)
Then, Compute for the initial percent abundance of each uranium isotopes when the Earth was
formed.
Radiocarbon dating assumes that the abundance of 14C in the environment has been constant. Suppose 14C was less abundant 10,000 years ago than it is today. Would this cause a lab using radiocarbon dating to overestimate or underestimate the age of a 10,000-yearold artifact? (In fact, the abundance of 14C in the environment does vary slightly with time. But the issue has been well studied, and the ages of artifacts are adjusted to compensate for this variation.)
Calculate the nuclear binding energy for a helium-5 atom (isotopic mass = 5.012057 u), a sodium-22 atom (isotopic = 21.99443742 u), and a cobalt-60 atom (isotopic mass = 59.9338222 u)
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Chapter 30 Solutions
EBK COLLEGE PHYSICS
Ch. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - Prob. 3CQCh. 30 - Prob. 4CQCh. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Figure Q30.7 shows how the number of nuclei of one...Ch. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQ
Ch. 30 - The material that formed the earth was created in...Ch. 30 - Prob. 12CQCh. 30 - Prob. 13CQCh. 30 - Prob. 14CQCh. 30 - Prob. 15CQCh. 30 - Prob. 16CQCh. 30 - Prob. 17CQCh. 30 - Prob. 18CQCh. 30 - Prob. 19CQCh. 30 - Prob. 20CQCh. 30 - Prob. 21CQCh. 30 - Prob. 22CQCh. 30 - Prob. 23CQCh. 30 - Some types of MRI can produce images of resolution...Ch. 30 - Prob. 25CQCh. 30 - The first two letters in the acronym SPECT, which...Ch. 30 - Prob. 27CQCh. 30 - Prob. 28CQCh. 30 - Prob. 29MCQCh. 30 - Prob. 30MCQCh. 30 - Prob. 31MCQCh. 30 - Prob. 32MCQCh. 30 - Prob. 33MCQCh. 30 - Prob. 34MCQCh. 30 - Prob. 35MCQCh. 30 - Prob. 36MCQCh. 30 - Prob. 37MCQCh. 30 - Prob. 38MCQCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - The chemical atomic mass of hydrogen, with the two...Ch. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - a. Compute the binding energy of the reactants and...Ch. 30 - a. Compute the binding energy of the reactants and...Ch. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - You have seen that filled electron energy levels...Ch. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 57GPCh. 30 - Prob. 58GPCh. 30 - Prob. 59GPCh. 30 - Prob. 60GPCh. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64GPCh. 30 - Prob. 65GPCh. 30 - Prob. 66GPCh. 30 - Prob. 67GPCh. 30 - Prob. 68GPCh. 30 - Prob. 69GPCh. 30 - Prob. 70MSPPCh. 30 - Prob. 71MSPPCh. 30 - Prob. 72MSPPCh. 30 - What statement can be made about the masses above...Ch. 30 - Prob. 74MSPPCh. 30 - Prob. 75MSPPCh. 30 - Prob. 76MSPP
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- If 232Th (half-life 1.4 × 1010 years) and 238U (half-life 4.5 × 109years) werepresent in equal amounts when the earth was formed, calculate their relative abundance atpresent. Note: The age of the earth is 4.54 billion years. NTh(t)/NU(t)= ?arrow_forwardA 50 grams in radionuclide decays 45 grams in 240 years. What is the halflife of the radionuclide? If the energy of the hydrogen atom is -13.6 eV/n2, determine the energy of the hydrogen atom in the state n= 1,2,3,4,5 and hence the energy required to transition an atom from the ground state to n=5? [ 1eV = 16 x10-19 J , h = ]arrow_forwardSr-90 (A=90, Z = 38) decays via B decay. Calculate the energy of the antineutrino (in keV) if the beta particle has a kinetic energy of (2.82x10^2) keV. %3D Note you can look the atomic masses up online or in the appendix of the textbook 1, Assume all the energy released are shared by the kinetic energy of the beta particle and antineutrino. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: х10 Answerarrow_forward
- If 232Th (half-life 1.4 × 1010 years) and 238U (half-life 4.5 × 109years) werepresent in equal amounts when the earth was formed, calculate their relative abundance atpresent. Note: The age of the earth is 4.54 billion years.NTh(t)/NU(t)=arrow_forwardA rock sample contains two radioactive elements A and B, with half lives of 8000 and 16000 years respectively. If the relative proportion of AB is initially 1: 1, what is their relative proportion after 16000 years? 2:1 3:1 12 1.3arrow_forward40K decays to 40Ar with a half-life of 1.3 billion years. Argon is a gas, so 40Ar escapes into the atmosphere once it forms. Suppose a sample of granite originally contained 20 g of 40K, but it now contains only 5 g. How many half-lives have passed? How old is the rock?arrow_forward
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