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- 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 daysThe radioactive potassium-40 isotope decays to argon-40. A 2.97 x 10^9 year old sample of moon rock was found to contain 18% potassium-40 and 82% argon-40 by mass. Calculate the half-life of potassium-40 isotope.Potassium (40K) decays to Argon (40Ar) with a half-life value of 1.3 billion years. 40K is the parent isotope and 40Ar is the daughter isotope. Laboratory analysis of a rock sample showed that there are 0.13ppm of 40K and an equal amount of 40Ar in the rock. (ppm: parts per million) Based on the laboratory results, ________________ half-live(s) have elapsed and the age of the rock is __________. Select from the following and explain. A. 0; 0 years B. 3; 4.5 billion years C. 1; 1.3 billion years D. 13; 6 billion years E. 13; 1.0 billion years
- 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 1.3A certain radioactive element has a half life of 3725 years. How much of a 8.03 g sample is left after 2035 years? Answer: What is the energy released when 0.520 g are converted to energy? Express your answer in joules. For self-consistent units you must use kg because 1 J-1 kg m²/s².In a certain rock, the ratio of lead atoms to uranium atoms is 0.300.Assume that uranium has a half-life of 4.47 × 10^9 y and that the rock had no lead atoms when it formed. How old is the rock?
- = 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 half-life of radium-226 is 1600 years. Suppose we have a 55 mg sample. Find a function that models the mass m(t) remaining after t years m(t)= How much of the sample will remain after 725 years? m(725)=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)
- A sample from a meteorite that landed on Earth has been analyzed, and the result shows that out of every 1,000 nuclei of potassium-40 originally in the meteorite, only 250 are still present, meaning they have not yet decayed. How old is the meteorite (in yr)? (Hint: See the figure below.) (Note: The half-life of potassium-40 is 1.3 billion years.) Figure A graph and a series of bar charts above it both show the percentage of radioactive atoms remaining in a mineral sample. Detailed descriptions of the graph and the bar charts are available in the adjacent lists.Torgeir is on a geology field trip and finds a meteorite that contains 6 times more argon-40 than potassium-40. The half-life of potassium-40 is 1.25 x 10° years. Assume the only decay product is argon-40. How old is the rock in billions of years (10° years)?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?