An 8 g sample of a radioactive element takes 8.42 million years to reduce into 2 g. Calculate the half-life and identify the element.
Q: A 416 g sample of sodium-24 decays to 13.0 g of sodium-24 within 60.0 hours. What is the half-life…
A: Given data: The initial quantity is N0=416 g. Quantity after decay is N(t)=13.0 g. Time elapsed is…
Q: 8..At-219 is a nuclide produced during the decay of U-235, and At-219 in nature is estimated to be…
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A: half life = 12.32 years Original number of nuclei = No
Q: The decay behavior of a radioactive substance obeys first order kinetics: ln(N/No) = –kt, where N is…
A: first order kinetics,lnNN0=-ktwhere N is amount of radioactive nucle at timehalf life=20 min=1200…
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A: The age of the rock is 1.36 x 10¹⁰ years
Q: A sample of radioactive material contains 1x 1014 atoms and has an activity of 6.3 x 1011 Bq. What…
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Q: After a plant or animal dies, its 14C content decreases with a half-life of 5730 years. If an…
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Q: Radon gas has a half-life of 3.83 days. If 2.86 g of radon gas is present at time t = 0, what mass…
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Q: it has taken 30 days for a particular nuclide to decay to 25% of its original activity. what is the…
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Q: if you started with a parent isotope with 100% of its atoms and its half-life is 10 years. What is…
A: Given. t/T = 2 N(t) = No(1/2)t/T
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A: half life of Ni -63 t/2 = 92 years LET x half life passed (N0 /2)X =( N0 / 128 ) = (N0 /2)7 X = 7…
Q: What fraction of a radioactive sample is left after exactly 6 half lives? Give your answer to 3…
A: Number of half life (n) = 6
Q: Calculate the power output needed for a 950-kg car to climb a 2.00° slope at a constant 30.0 m/s…
A: Solution:-Given thatmass of car (m)=950 kgslope (θ)=2°constant speed (V)=30 m/sWind resistance…
Q: The radioactive isotope (95 Nb) has a half-life of 35 days. A sample containing this isotope has an…
A: Let the half -life of the isotope be denoted as t1/2 .The expression for the decay constant λ in…
Q: The cadmium isotope 109Cd has a half-life of 462 days. A sample begins with 1.0 × 1012 109Cd atoms.…
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Q: Radon-222 has a half-life of 3.8 days. What mass of radon-222 would have a decay rate of 2220 Bq?…
A: We use the formula of rate of decay to get the required values.
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Q: A radioactive sample containing approximately 6.52×10¹3 radioactive nuclides has a half-life of 5730…
A: Radioactive nuclides are those nuclides that are unstable. This happens due to the mismatch between…
Q: The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…
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Q: The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…
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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.
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A: Half life for a radioactive material is the time taken by the material to radiate to it's half…
- Some configurations of protons and neutrons inside a nucleus are unstable. When an atomic nucleus is unstable they become stable by removing a proton or neutron through radiations. This process is called radioactive decay.
- This decay will be exponential in nature and is given by,
Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.
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- Determine the half-life (in s) of a radioactive sample that contains 1.10 x 1015 atoms of the radioactive nuclide and has an activity of 5.80 x 101 Bq.The half-life of 222Rn is 3.82 days. (a) Convert the half-life to seconds. Answer: _______ seconds (b) Calculate the decay constant for this isotope.Answer:____________ s−1 (c) Convert 0.580 μCi to the SI unit the becquerel.Answer:_____________ Bq (d) Find the number of 222Rn nuclei necessary to produce a sample with an activity of 0.580 μCi. Answer:______________222Rn nuclei (e) Suppose the activity of a certain 222Rn sample is 7.10 mCi at a given time. Find the number of half-lives the sample goes through in 40.2 d and the activity at the end of that period. (Enter your answer for the number of half-lives to at least one decimal place.) Answer:________ half-lives Answer: mCi Thank you!Use the equation for radioactive decay and solve for an algebraic expression for the time, “t” in terms of the half-life, ?, and the isotope ratio, . ___t = ________________ Question 1 options: t=ln(N0N(t))λ t=λln(N0N(t)) t=ln(λ)N0N(t) t=ln(λ)N(t)N0
- Please Note: I need to understand why the other isotopes would not be a good fit for each of the scenarios. Which of the following scenarios would be optimal for obtaining a date from radioactive decay using these isotopes: 87Rb, 147Sm, 235U, 238U, 40K, or 14C? There may be more than one answer that is appropriate. Explain your reasoning for why the remaining scenario(s) would be inappropriate/impossible to use that particular isotope. Answers should include a discussion on usable ages for each system and whether the necessary isotopes would be found in the material to be dated. a. A meteorite that formed early in the formation of the solar system. b. A rock formed through a mountain building event around 420 million years ago. c. Volcanic ash from an eruption 60 million years ago. d. An earthquake scarp that formed along the San Andreas Fault 50 years ago. e. An Incan archaeological dig site in the highlands of Peru. f. A tree from a forest in England that is suspected to be the…Carbon is one of the fundamental elements in everything that's alive on Earth. The three naturally occuring isotopes of carbon are 12C (mass fraction = 0.99), 1³C (mass fraction = 0.01) and radioactive 14C. The relative abundance or mass fraction of 14C is about 10-12 (or 1 in 1012 atoms). This radiocarbon originates from cosmic rays interacting with nitrogen atoms in the atmosphere and has a half-life time of 5730 years. Since it's half-life time is a lot higher than the time the atoms need to go through the carbon cycle, all living biomass at the Earth's surface has the same abundance of 14C as in the atmosphere. After a plant or animal has deceased the amount of 14C atoms will decay exponentially according to the following formula: = mo · 2-t/tı/2 with mo as the mass fraction at t = 0 and t1/2 as the half-life time. Since we know the abundance of 14C in the atmosphere, we can use this equation to estimate the time of death of an organism. This method is known as carbon dating.…866-0 hours. A radioactive sample contains 1.55g of of an isotope with half a life of 3.8 days. How much of the in grams remain after 150 tope 11.4 days?
- The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the radioactive decay of the carbon-14 in a tiny sample of an artifact made of wood from an archeological dig is measured to be 6.2*10^2 Bq. The activity in a similar-sized sample of fresh wood is measured to be 1.1*10^3 Bq. Calculate the age of the artifact. Round your answer to 2 significant digits.The half-life of a radioactive isotope is known to be exactly 1 h. a) What fraction of a sample would be left after exactly 3 h? % Remaining = b) What fraction of a sample would be left after exactly 1 day? % Remaining =Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to incandescence for long periods of time. Natural thorium is almost 100% 232 Th , with a half-life of 1.405×1010 y . If an average lantern mantle contains 300 mg of thorium, what is its activity?
- The half-life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the radioactive decay of the carbon-14 in a tiny sample of an artifact made of wood from an archeological dig is measured to be 6.1*10^3 Bq. The activity in a similar-sized sample of fresh wood is measured to be 6.9*10^3 Bq. Calculate the age of the artifact. Round your answer to 2 significant digits.8. The half-life for a radioactive isotope is 4.00 × 10⁹ yr. Determine the age (in years) of a rock specimen that contains sixty percent of its original number of radioactive atoms. years 0 ssi sf60 ss” 50 ssf6€ ssf60 sta £60A 10 g sample of a radioactive element took 12 days to reduce into 1 g. Calculate the half-life and identify the element.