COLLEGE PHYSICS - LCPO
4th Edition
ISBN: 9780134700427
Author: Knight
Publisher: PEARSON
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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.
The isotope ¹C has a half-life of 5730 years. What percent (N/No) of the ¹4C in a buried animal
14
bone will remain after 45,000 years?
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
COLLEGE PHYSICS - LCPO
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 - Prob. 26CQCh. 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 - Prob. 6PCh. 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 - Prob. 19PCh. 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. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 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. 70GPCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - Prob. 73GPCh. 30 - Prob. 74MSPPCh. 30 - Prob. 75MSPPCh. 30 - Prob. 76MSPPCh. 30 - What statement can be made about the masses above...Ch. 30 - Prob. 78MSPPCh. 30 - Prob. 79MSPPCh. 30 - Prob. 80MSPP
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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 power output of the Sun is 41026W. (a) If 90% of this is supplied by the protonproton cycle, how many protons are consumed per second? (b) How many neutrinos per second should there be per square meter at the Earth from this process? This huge number is indicative of how rarely a neutrino interacts, since large detectors observe very few per day.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_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_forwardIf 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_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
- A 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_forward2310Ne is unstable. Complete the schematic energy diagram to the right by drawing in the protons and neutrons (with arrows representing spin directions) and predict how this nucleus will decay by specifying the final nucleus plus the two emitted particles. (This nucleus is small enough that electrostatic repulsion is not really significant.) Is the resulting nucleus stable?arrow_forward
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