Prove that t½ = t ln (2)/ln(No/Nt) determines the half-life of a 30-g sample of  Pu-239 which is 24.126 years if it will decay to 1 kg in 1,180 years.

Q: The fraction of a radioactive isotope remaining at time tis  (1/2)t/t1/2, where t1/2is the…

A: Given: a) Fraction of Carbon-14 in a piece of charcoal after 10.0 yr is calculated as shown below,

Q: What was the original mass of a sample if 0.0750 grams remain after 11.47 days?

A: Given, The half life of Rn-222 is 3.823days.   0.0750 grams remain after 11.47 days  The original…

Q: ome Tools Section 5.5 Exercis... x Section 5.5 Proble.. Section 5.5 Proble... CRA 6 / 15 +) 106% 6.…

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Q: A sample of 400g of radioactive​ lead-210 decays to​ polonium-210 according to the function…

A: Given data : A sample of 400g of radioactive​ lead-210 decays to​ polonium-210. According to the…

Q: What is the half-life (t1/2) of a radioisotope if 1000 grams of the sample decays to 125 grams in…

A: The nuclear half-life is amount of time it takes for half of sample to decay radioactively.…

Q: Radioactive tungsten-178 decays with a half-life of 21.6 days. (a) What is the value of k in s-1?…

A: a) we have  half life of W - 178 = 21.6 days = 21.6 * 24 hours = 518.4 hours = 518.4 * 3600 seconds…

Q: The isotope 185Hf undergoes B decay with a half-life of 3.50 min. (a) What isotope is produced by…

A: All radioactive decay process follow 1st order kinetics.

Q: Exactly 0.1 of the radioactive nuclei in a sample decay perhour. Thus, after nhours, the fraction of…

A: (0.900)n = 0.5 taking lag of both side  n x log 0.900  = log 0.5 n = log 0.5 /log 0.9 n  = 6.58 hour…

Q: Mr. Albedo stumbled upon an unknown material in an abandoned laboratory. He believes that this…

A: Given, initial mass of sample = 10.5 g final mass of the sample = 0.171 g time required to decrease…

Q: A 1.00-gram sample cantains two radioactive isotopes A and B. The half-life of isotope A is 2 hrs.…

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Q: Gold-198 is used in diagnosis of liver problems. If the half-life of this is 2.69 days, 1. What is…

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Q: The isotope 83212Bi has a half-life of 1.01 years. What mass (in mg) of a 2.00-mg sample will not…

A:

Q: Calculate the half-life of a radioisotope if it takes 24 years for a sample to decay to 12.5% of its…

A: Radioactive decay follows first order kinetics. Half-life is the time taken by a radioisotope to…

Q: The isotope ²¹²₈₃Bi has a half-life of 1.01 yr. What mass (inmg) of a 2.00-mg sample will remain…

A: Given, half life of  ²¹²₈₃Bi ,  t1/2 = 1.01 yr = 365 x 24 x 1.01 h = 8847.6 h            initial…

Q: Radioactive tungsten-178 decays with a half-life of 21.6 days. (a) What is the value of k in s-12…

A: Given: The half-life of tungsten-178, t1/2 = 21.6 days Seconds in a day are given as: 1 day =…

Q: Cesium-134 is a β emitter with a half-life of 2.0 years. How much of a 2.50-g sample of cesium-134…

A: The radioactivity decay follows the first order kinetics. The formula for the first order kinetics…

Q: 1.)There are 5.0 g of 121I left after 40.35 days. How many grams were in the original sample if its…

A: Half-life is the time required for an amount to reduce to half its initial value.From the given…

Q: Uranium-238 undergoes eight consecutive a-emissions to give stable lead. In an uranium ore sample,…

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Q: The carbon-11 isotope has a half-life of 20.3 minutes. How long (in hours) will it take for 99.9999%…

A: Here we have to determine time required for 99.9999% of a carbon-11 sample to disappear.Given half…

Q: 11047Ag → 0.je + 110 48Cd For the nuclear reaction Starting with 200. g of Ag-110 in a container,…

A: Since you have asked multiple question, as per our company guidelines we are supposed to answer the…

Q: If 18.9% of a sample of zinc-65 decays in 73.5 d, what is the half-life of this isotope (in days)?

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Q: Radioactive decay The radioactive bismuth isotope 21°BI has a half-life of 5 days. If there is 100…

A: The amount of radioactive substance remaining after t days is given by, ft=1002−t/5

Q: A rock was dated using Carbon-14 (half life = 5730 years). If the percentage of the parent atoms…

A: Given data contains, Half-life of C-14 is 5730 years. Percentage of parent atoms is 12.5%. N0 is…

Q: 6. Iridium is a radioactive elementused fortherapy in nucle armedicine. It decaysto% or 24, of its…

A: Answer: Nuclear reactions are first order reactions, therefore decay reaction of Ir will also be a…

Q: Initial Amount After Half-life (years) Isotope Оuantity 1000 Years 33. 226RA 1599 10 g 94. e 5715…

A: in radioactivity is defined as unstable nuclei is decay into stable nuclei and emits electromagnetic…

Q: The radioactive isotope rhodium-101 decays exponentially, with a half-life of 170 minutes. Suppose a…

A: A radioactive nuclei is generally unstable. It breaks down spontaneously as its binding energy is…

Q: The ratio between the number of tritium (13T; radio active isotope of hydrogen) and the naturally…

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Q: At the beginning of an experiment, a scientist has 192 grams of radioactive goo. After 90 minutes,…

A: Initial mass, final mass, time required for radioactive goo are given for which relevant questions…

Q: Mr. Albedo stumbled upon an unknown material in an abandoned laboratory. He believes that this…

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Q: 44 of 48 If the half-life of a radioisotope is 3 years, the radioactivity remaining in a sample of…

A: (a) the half life is 3 year, Now, amount of sample remaining after 6 years is, 6 years means 2 half…

Q: Consider the I-131 nucleus that is used to treat thyroid. Mass of I-131 is 130.78302 amu. 1) what is…

A: To answer questions regarding I-131 nucleus.

Q: Carbon-10 is an unstable isotope with an atomic mass of 10.016853 u. It undergoes beta-plus decay…

A: The total binding energy of an atom is the sum of energy that is emitted as the atom is created by…

Q: How many half-lives have passed in each of the following situations? How much of a 48.0 g…

A: 1. The given half life of iodine-134 is 50 minutes. The total number of half-lives observed in 150…

Q: Actinium-227 is a radioactive substance that decays according to the following function, where v, is…

A: The relationship between the initial amount and final amount of reactant is given as, => y = y0…

Q: Strontium-90 is produced during the nuclear fission of uranium-235 and is part of nuclear fallout…

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Q: 10.6. A sample of S, a ß- emitter, has an activity of 0.100 µCi. In 20.0 days, the activity o the…

A: Given,  Initial amount, [A]0 = 0.1 µCi  Final amount, [A] = 0.0853 µCi  Time, t = 20 days

Q: A 53.8-mg sample of sodium perchlorate contains radioactive chlorine-36 (whose atomic mass is 36.0…

A: radioactive nuclie undergo sponteneous decay reaction to produce stable products. The time for the…

Q: A 53.8-mg sample of sodium perchlorate contains radioactivechlorine-36 (whose atomic mass is 36.0…

A: The number of disintegration of a radioactive compound can be determined by the number of…

Q: 3. 137Cs has a half-life of 30.2 years. How many years will it take for a 100.0-g sample to decay to…

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Q: If a tree dies and the trunk remains undisturbed for 1.535 × 10⁴ years, what percentage of the…

A: Degradation of the  14C  is as per the first order reaction. We are having half life that can give…

Q: Mr. Albedo stumbled upon an unknown material in an abandoned laboratory. He believes that this…

A:

Q: A decay sequence for a radioactive atom of radon 219 to stable lead 207 atom is as shown below.…

A: Radioactive deacy is the spontaneous breakdown of atomic nucleus from nucleus and release energy and…

Q: 1) Co-60 is used extensively in radiotheraphy as a source of y- rays. Its half life is 5.27 years.…

A: a) Given: Its half-life is 5.27 years. The number of years does Co-60 to decrease to 35 % of its…

Q: Fluorine-18 undergoes positron emission with a half-life of 1.10 x 10- take for the amount of…

A: Solution :    Half-life is the time required to reduce the concentration of the compound to half of…

Q: The half-life of stroncium-90 is 28 years. How long will it take a 50-mg sample to decay to a mass…

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Q: Archeologists continue to debate the arrival of the first humans in the Western Hemisphere.…

A: We know that,→ Radioactivity Phenomena follow first owner kinetics.So, Rate = KA1    K→Rate…

Q: The half-life of 14C is 5730 years, and the current decay rate in living organisms is 14.3…

A: Given: The activity of sample = 4.75 d.p.m/g C The activity of fresh wood = 14.3 d.p.m/g C And…

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.