An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 127 g (HINT: Assume all the carbon is 12C and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 16 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died was 1.25x10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022x1023 particles, 1 y = 365.25 days, & 1 day = 24 h. age of bone =

An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 127 g (HINT: Assume all the carbon is 12C and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 16 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died was 1.25x10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022x1023 particles, 1 y = 365.25 days, & 1 day = 24 h. age of bone =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: An archeologist discovers the bones of a person believed to have been dead for 600 years. Using…

A: Half-life of radioactive element: = 5.73 x 103 y Activity of radio active element: A(t) = 0.259 Bq…

Q: Atts, you have a pure sample of an unknown substance. At t= 293 s, 36.8% of the substance remains.…

A: Radioactive substance remaining at t=293s, N=36.8100×N0=0.368N0

Q: MASS OF A PROTON: 1.007825 U; MASS OF A NEUTRON: 1.008665 U 6. An oxygen isotope, 0-16, 160, has a…

A: *** Since the given two questions are not connected to each other, so according to the Bartleby…

Q: 11. Calculate the energy produced in the following nuclear fusion reaction; express energy in: (a)…

A: Given: The energy equation and the atomic masses are given.

Q: taining 6 x 10" unde isotope has an activity half-life?

A: Hey there, since you have posted multiple questions. We have answered the first one for you. Please…

Q: Cobalt-60 and iodine-131 are used in treatments for some types of cancer. Cobalt-60 decays with a…

Q: An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 392 g…

A: GivenThe mass of 12C carbon in the Jewelery is 392 gThe current decay rate of 14C is 26 decay/sThe…

Q: Question 1 Calculate the binding energy for 0.064 mole of "He (4.00150 amu) in kJ. Question 2…

A: Given data: Number of moles for He4 is 0.064 having mass mHe=4.00150 amu Number of moles for Be10 is…

Q: What is the age in years of a bone in which the 14C/12C ratio is measured to be 2.85×10−13? Express…

Q: A nuclear reaction is represented by: "N+H→C+He Given N has a mass of 14.003 074 u; C has a mass of…

A: Atomic number is defined as the number of protons in the nuclei and mass number is the total number…

Q: Deuterium fuses with tritium by the following reaction: 21H+31H⟶42He+10n12H+13H⟶24He+01n The…

A: Given:atomic mass of Deutrium, m2 = 2.014102 uatomic mass of Tritium, m3 = 3.016049 uatomic mass of…

Q: A sample of radium Ra (atomic mass-224.020 186 u. T1/2-3.66 days) contains No - 1.07 x 1021 nuclei…

Q: After a plant or animal dies, its 14C content decreases with a half-life of 5730 years. If an…

Q: 7 3Li is 7.016004 u, the atomic mass of 4 2He is 4.002603 u, the atomic mass of a neutron is…

A: Given: Atomic mass of 73Li=7.016004 u atomic mass of 42He=4.002603 u atomic mass of neutron…

Q: Recently unearthed discoveries in North and South American archaeological sites show that charcoal…

Q: 28 si + 32 s. He --> Imagine the following nuclear reaction: 14 16 MeV. Its Q-value is: Q=

A: Given nuclear reaction: 14 Si + 2He ------------> 16S

Q: nucleus emits an alpha particle with kinetic evergy = 4.20 MeV. What is the daughter nucleus, and…

Q: An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 146 g…

A: Given data: The mass of carbon is m=146 g. The molar mass of 12C is M=12 g/mol. The decay rate of…

Q: An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 131 g…

A: Due to multiple questions posted we will be only answering the first question. If any specific…

Q: A wooden artifact is found in an ancient tomb. Its c arbon - 14 (614C) activity is measured to be…

A: Formula to calculate the age of the ancient site is,

Q: An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 148 g…

A: Given problem is based on the carbon dating. One of the useful applications of radioactive decay is…

Q: Question A9 On absorption of a single neutron, plutonium Pu-239 can undergo fission into xenon…

Q: (a) Find the speed an alpha particle requires to come within 3.4 x 10 m of an iron nucleus.…

Q: You have a 2.8 mol pure sample of an unknown material. After 4.7 h, you discover that 89% has…

A: Given problem is based on the law of radioactive decay.

Q: Plutonium-239 is used as the energy source for heart pacemakers and space probes. It decays to…

Q: For the nuclear reaction 14N + a →p + ¹70 which may also be written as 14N(a, p)¹70, determine the…

Q: Radioactive element AA can decay to either element BB or element CC.The decay depends on chance, but…

Q: A nucleus of copper has an atomic mass of 64.93 u (with Z=29 and A=65). Considering that the mass…

A: Total binding energy of the nucleus is 552.89 Mev

Q: All the very heavy atoms found in the earth were created long ago by nuclear fusion reactions in a…

A: Given values: Half life of U235, t12(U235)=7.04×108 yr Half life of U238, t12(U238)=4.47×109 yr…

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: Given data : Carbon 14C half life τ1/2 = 5730 years By using radioactivity decay formula and half…

Q: Thorium 230 90Th decays to radium 22688Ra by a emission. The masses of the neutral atoms are…

A: Energy released in a decay depends on the mass difference between initial atom and final atom, or…

Q: c) The equation below describes the disintegration of a polonium nucleus into a lead nucleus and an…

Q: Some amount of KCl has decay rate 5000 Bq. The decay is due to K40 in the substance. Find the amount…

A: Using the expression for activity, R=0.693Nt1/2N=Rt1/20.693=5000 Bq1.251×109 y0.693…

Q: Current Attempt in Progress 190 Some nucleus of ¹9X (atomic mass = 189.96182 u) undergoes ß decay to…

A: The energy release in Beta - decay correspond to the mass defect, which is the difference in mass…

Q: A wooden artifact is found in an ancient tomb. Its carbon-14 (14/6C) activity is measured to be…

Q: The atomic mass of 14C is 14.003242 u. (a) Can the β- decay of 14C occur spontaneously? Explain.…

Concept explainers

Nuclear Fission

Nuclear fission is a type of nuclear reaction in which heavier nuclei split into lighter nuclei by releasing a large quantity of energy. The elements like uranium-235 and plutonium-239 isotope undergo nuclear fission releasing energy. When nuclei undergo fission, some quantity of mass is lost. The lost mass is converted to nuclear energy. Nuclear fission reaction is used in nuclear power plants and atomic bombs. In nuclear power plants, nuclear reactors are used to generate electricity.

Endothermic Nuclear Reaction

A nuclear reaction can be described as a process where two atoms, or two nuclei or nucleus and subatomic particles such as a proton, neutron interact together, and a large amount of energy is produced and new elements are also produced.

Question

Part 1: Carbon dating
An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 127 g (HINT: Assume all the carbon is 12C and determine the number of atoms, 12C has a molar mass
of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 16 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when
the animal died was 1.25x10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022x1023 particles, 1 y = 365.25 days, & 1 day = 24 h.
age of bone =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information is

VIEW

Step 2: Calculating number of carbon atoms in bone as follows,

VIEW

Step 3: Calculating decay constant ,

VIEW

Step 4: Calculating age of bone,

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Please asap
39.8 An atom of uranium-235 (atomic mass: m(23U) cays to thorium-231 (atomic mass: 231. 00 Th) = 231.03630 u) emission of an 235.04392 u) de- 92 via the a particle (nuclear 4.00151 u). m(ža) c = 2.998 x 108 m s-1. mass: Use %D (a) What is the binding energy of an 235U nucleus (in J)? 92 (b) What is the binding energy of a 231 Th nucleus (in J)? 90 (c) What is the binding energy of an a particle (in J)? (d) What is the maximum possible ki- netic energy (in J) of the a particle emitted during this decay? (Hint: what is the difference between the mass of 23°U and the total mass of 92 231 Th and an a particle?) 90 (e) Whatis the maximum velocity of the emitted a particle?
04 239 Pu are very The fission properties of 94 similar to those of 235 U. The average energy 92 released per fission is 180 MeV. How much energy, in MeV, is released if all the atoms in 1 Pu undergo fission? 239 kg of pure 94
a piece of a spear handle is found an in archeological dig in central america. it contains 12.5% as much 14c as a tree living today. based only on the half life of carbon-14, how old is the spear handle?
A new element has been created artificially. It is named Elementy McFacium. The most common isotope of McFacium has 153 protons and 277 neutrons. The mass of this isotope of the new element is 402,188.91 MeV/c^2. What is the total mass deficit for the nucleus? Hint: The new element is not made as an ion! Use the mass of hydrogen atoms instead of protons. (Answer in atomic mass units u)
By READING the N vs t graph shown below, determine No & the half-life. N (x10¹ atoms) 120 90. 60. 30. 1 2 3 4 5 6 7 8 9 10 t(y) No = half-life = atoms
An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of 14C. Find the minimum age (in years) of the charcoal. Carbon-14 has a half-life of 5730 years which means half of it will be gone after 5730 years. You may find the equality 210 = 1024 to be useful.
One of the fusion reactions that takes place as a star ages is called the triple alpha process. 3 42He → 126C Calculate the mass defect (in u) and the energy produced (in MeV) each time the reaction takes place.