AOK decays to 40Ar with a half-life of 1.25 x 10° yr. Assume that rocks contain no 40Ar when they form, and that the only way 4Ar can be present is through the decay of 40K. If the ratio of 40K to 40Ar in a particular rock is found to be 1:3, what is the age of the rock?

AOK decays to 40Ar with a half-life of 1.25 x 10° yr. Assume that rocks contain no 40Ar when they form, and that the only way 4Ar can be present is through the decay of 40K. If the ratio of 40K to 40Ar in a particular rock is found to be 1:3, what is the age of the rock?

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: How many half-lives have passed if about 3% (rounded) of the original parent material is left?

A: How many half-lives have passed if about 3% (rounded) of the original parent material is left?

Q: Randon gas has an atomic number 86 and mass number 222. Randon is radioactive and decays via…

A: Alpha decay is a nuclear decay process where an unstable nucleus changes to another element by…

Q: Why can the half-life serve as a “nuclear clock” to determine the age of objects? Explain how?

A: Almost all the materials contain some radioactive elements. The concentration of such elements…

Q: A certain radioactive nuclide decays with a disintegration constant of 0.0256 h1 (a) Calculate the…

A: Given(s): Decay constant, λ=0.0256 h-1 Require: Half-life, t12=? Fraction of sample left after,…

Q: The half-life of krypton-91 ("Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A short-lived radioactive isotope has a half-life of T1/2 = 6.06 seconds. What is its decay constant…

Q: Two blocks, each of mass m=3.50kg, are hung from the ceiling of an elevator. (a) If the elevator…

A: Given info: The mass of the each blocks is 3.50 kg and the upward acceleration of the elevator is…

Q: radioactive

Q: If 232Th (half-life 1.4 × 1010 years) and 238U (half-life 4.5 × 109years) were present in equal…

A: The radioactive decay formula is Nt=N0e-0.693tT12 ...... (1) From…

Q: Using appropriate formula determine the decay constant (λ) for the parent-daughter isotope pair,…

A: A parent-daughter isotope pair is The half-life time is Find:Decay constant.

Q: If there are 20 mmol of the radioactive isotope 3H (half-life 12 years) at t = 0, how much 3H remain…

A: Initial concentration of radioactive element is Half-life time is Find:(a) Concentration of at…

Q: A state-of-the-art proton decay experiment is expected to detect 44% of the proton decays in a body…

Q: A radioactive source is marked as containing 5mCi, but now measures 3.4 mCi. If the half life is 5.2…

A: Calculate the decay constant. λ=0.693t1/2=0.6935.2 =0.13327

Q: A 50 grams in radionuclide decays 45 grams in 240 years. What is the halflife of the radionuclide?…

A: there are 2 parts in above question in 1st part we have to find half time and on 2nd part transition…

Q: Calculate the binding energy per nucleon of the zinc-64 nucleus. (c²-931.49 MeV/u; atomic mass of Zn…

A: Given information: The atomic mass of the Zn nucleus (M) = 63.929 144 u The mass of one proton "H11"…

Q: Consider the decay of 235U → 231Th → 231Pa, with a half-life of 7.038x108 years for 235U and 25.5…

A: Given that:U 235→ Th 231→ Pa231 (Stable)T12, parent=T1=7.038×108 yearsT12, daughter=T2=25.5…

Q: A state-of-the-art proton decay experiment is expected to detect 55% of the proton decays in a body…

A: Given that How many m3 of water would you need in order to see 5 decays per month? Assuming protons…

Q: If 14 g of radon ga present gab with a halP -life of 4 days is in a ballon at t=0,what is the mass…

A: Most of the nuclides present in nature are unstable. Hence they decay to nearby stable nuclei by…

Q: Consider the following three atoms: Ar (protons = 18, neutrons = 21, atomic mass = 38.964313 u), K…

A: The stability of an isotope is determined by the neutron-to-proton ratio. A stable nucleus generally…

Q: The decay of 238U to 206 Pb has a half life of 4.46 Giga-years (billions of years, Gy). A rock is…

A: I hope this helps. Feel free to comment with further queries.

Q: 40K decays to 40Ar with a half-life of 1.3 billion years. Argon is a gas, so 40Ar escapes into the…

Q: Assume that the decay rate for Carbon 14 is k=0.00012. If charcoal found in an ancient fire pit…

Q: There is a bottleneck in producing masses higher than 4He, because there are no mass-5 or mass-8…

A: Part (a) The burning of α-particles needs a very huge amount of temperatures in order to over…

Q: 234 Que. u has time Constaut L'2×105 year. How long will it take to reduee Sample (8.5 x105) 234u…

A: The problem is based upon the radioactive decay. Radioactive decay (also known as nuclear decay,…

Q: If 16 g of radon gas with a half-life of 4 days is present in a balloon at t = 0, what is the mass…

Q: 4. a) A fossilised tree was tested and contains 10 grams of Carbon-14. Given that there was 12 grams…

A: According to the exponential law of radiation, we have N=Noe-λt where λ is the decay constant and No…

Q: A) How much mass is left in a piece of animal skin after 17,145 years when a newly made piece of…

Q: the sample must be due to radioactive decay. With all of this in mind, if we find that a rock…

A: This problem can be solved using radioactive decay concept.

Q: Earth is about 4.6 billion years old. If 235U is 0.72% abundant today, what was the ratio of 235/238…

A: Given: The time period of earth formation t = 4.6 billion years. The ratio of the 235 and 238…

Q: A particular rock is thought to be 250 million years old. If it contains 4.51 mg of 238U, how much…

A: Radioactivity is a process in which unstable heavy nuclei convert into more stable lighter nuclei…

Q: Calculate the half-life of Th-232 which has a decay constant of 49.15×10-¹2 s²¹.

A: The rate at which unstable radioactive nuclei decay in a sample of material is called the activity…

Q: the nuclear binding energy of Au-197 is found to be 1576 MeV and the binding energy per nucleon is 8…

Q: The half-life of a radiotracer is 3 hr. (i) Determine the decay constant of the radiotracer, (ii)…

A: Given, half life of radio tracker is, t12= 3hr i) So decay constant is, λ = ln2t12=ln23hr=0.23 hr-1…

Q: The half-life of tritium is 12yr. If the TFTR fusion reactor contains 50 m³ of tritium at a 3…

Q: A certain isotope has a half-life of 9.06 h. What is its decay constant in s-1?

A: Given: The half life time is 9.06 h.

Q: U235 is used as fuel in nuclear reactors. The activity of U235 is around 9.9×10-10 yrs-1. Calculate…

A: Unstable nuclei will become stable by radiating energy, this process is called radioactive decay.…

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

Q: C-60 decays with a hlaf life of 5.27 years to prosuce Ni-60 , decay constant 0.131 How long does…

Q: marchaeologist finds the 14C in a sample of 3.70 g of material to be decaying at 107 Bq. A odern…

Q: A radioactive substance initially contains 20000 thorium Th230 isotype. How many of this radioactive…

Q: (a) Natural potassium contains 40K , which has a halflife of 1.277 X 09 y. What mass of 40K in a…

A: Half-life of k-40 1.277 X 09 y Decay rate of 4140 Bq a) Number of k-40 nuclei…

Question

ADK decays to 4Ar with a half-life of 1.25 x 10 yr. Assume that rocks contain no 4"Ar when they
form, and that the only way 4Ar can be present is through the decay of OK. If the ratio of 40K to 40Ar
in a particular rock is found to be 13, what is the age of the rock?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

The half life of a radioactive nucleus is 50 days. The time interval (tz – t1) between the time t, when of it 1 has decayed and the time t; when - of it had decayed is - (1) 50 days (2) 60 days (3) 15 days (4) 30 days
14 6C has a half life of 5,730 years. How many 6 atoms would you need in order to measure an average of 10 decays per second? Round your answer to 2 decimal places.
A particular rock is thought to be 260 million years old. If it contains 3.70 mg of 238U, how much 206Pb should it contain?
A state-of-the-art proton decay experiment is expected to detect 44% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 2 decays per month? (Assume a "month" is one-twelfth of a year.)
Th232 has a half-life of 14 billion years, it is the longest-lived isotope of thorium. Calculate its decay constant.
In a radioactive material, fraction of active material remaining after time t is 9/16. The fraction that was remaining after t/2 is: 1) 3/4 2) 7/8 3) 4/5 4) 3/5
Determine the age of a certain rock sample: carbon -14 half life = 5730 years. An archeology dig unearths a skeleton. Analysis shows is a C-14 activity of 1Cpm per gram of total carbon. Approximately how old is the skeleton?(Original C-14 Activity= 16Cpm)
The question is attached below as a image!
i can confirm answer 5118 years is wrong
In the table below, the 2-H is called Deuterium; its Atomic Mass is 2.014102. Which choice below is best for the mass of 1-H? [hydrogen with a mass number of 1] (1) Atomic Number (2) Element (3) Symbol (4) Mass (5) Atomic (6) % Abundance (or Radioactive Decay Mode) (7) Half-life Number, Mass (if radioactive) (Neutron) 1 1.008665 10.4 min 1 Hydrogen Deuterium H. 1.007825 2.014102 3.016049 99.985% 0.015% Tritium 3. 12.33 yr Helium Не 3 3.016029 0.000137% 99.999863% 4. 4.002602 3. Lithium Li 6. 6.015121 7.016003 7.5% 92.5% 4. Beryllium Be 7.016928 9.012182 EC, 7 100% 53.29 days 9. 1.008665 1.007825 1.006415 O 1.004275
All the elements in our solar system beyond iron are made in explosive stellar events. A simplifying assumption is that they are all made equally at the same moment. Knowing the half-life of 235U (currently 0.72% abundant here on Earth) is 7.4 ×10^8 years and the half-life for 238U (currently 99.27% abundant here on Earth) is 4.468 ×10^9 years, estimate the age of our solar system.
radioactive decay: Calculate the heat released by the decay of Uranium-238 to Pb-206 from the mass difference between reactant and product. Assume that Earth today contains about 0.028ppm U