Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14 In words, define the random variable X.

Q: An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 40% more of…

A: Chemical kinetics is branch of chemistry in which we deal with speed at which rate of reaction…

Q: The first-order decay of radon has a half-life of 3.823 days.  How many grams of radon remain after…

A: Ans

Q: Tritium (3H) is used in glowing "EXIT" signs located where there is no electricity for lightbulbs.…

A: Provided half life of 3H =12.26 year Provided time(t)=65.2 years The rate constant when  half life…

Q: The half-life of strontium-87 is 2.8 h. What percentage of this isotope will remain after 8 h and 24…

A: Radioactive decay is the breaking of unstable nuclei into stable ones by emitting radiation. These…

Q: Assume a substance decomposes at a rate proportional to the amount present. If the decay constant of…

A: The value of decay constant is 0.0555 /yr , thus unit is yr-1  . Thie suggests that this…

Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of polonium-210 is 140 days. How…

A: Given half life of polonium-210 is 140 days i.e. in 140 days, the amount becomes half. Using the…

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: 6. Iodine – 131 is used in the form of sodium iodide to treat cancer of the thyroid. The isotope has…

A: half - life = t1/2 = ln 2λ Given that,t1/2 = 8.04 days Ao = 25 mg t = 32.2 days

Q: An unknown radioisotope exhibits 8540 decays per second.After 350.0 min, the number of decays…

A: Nuclear reactions are a type of chemical process which lead to the formation of some new nuclei with…

Q: The half-life of the radioactive isotope radon-222 is 3.82 days. How long will it take for the mass…

A: Recall the following expression to calculate required time of radon-222 to decay from 93.2…

Q: Americium-241 is widely used in smoke detectors. The radiation released by this element ionizes…

A: The activity for the sample can be described as the amount of the radioactive particles are…

Q: The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 × 10³ years. Suppose…

A:

Q: Mass spectrometric analysis of potassium and argon atoms in a Moon rock sample shows that the ratio…

A: The ratio of number of argon atoms and number of potassium = 10.3 : 1 Half life of potassium = 1.25…

Q: Chromium-51 is a radioisotope that is used to assess the lifetime of red blood cells The half-life…

A:

Q: If 28.0% of a sample of silver-112 decays in 1.52 hours, what is the half-life of this isotope (in…

A: Given values,      28% sample of silver=112 decays in 1.52 hours      that means 72% sample…

Q: The radioactive isotope, used in the diagnosis of tumors, has a biological half-life of 47 hours. If…

A: Given  Half life ( t1/2 )         = 47 hour  Time ( t )                  = 26 hour  initial quantity…

Q: The half-life of the radioactive isotope polonium-214 is 1.64x104 seconds. How long will it take for…

A:

Q: The isotope strontium-90 is produced during testing of nuclear weapons.  If 100.0 mg of strontium-90…

A: Given  Initial Amount of Sr - 90  (A)o = 100 mg  Half life time ( t1/2 )  =  29 years  Time ( t ) =…

Q: This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long…

A:

Q: Strontium-90 is one of the products of the fission of uranium-235. This strontium isotope is…

A: Given : Initial amount of strontium isotope = 1.00 g Final amount of strontium isotope = 0.200 g And…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 288 years.  How long…

A:

Q: .Strontium-90 is one of the products of the fission of uranium-235. This strontium isotope is…

A:

Q: Heeded for this question. The half-life of the radioactive isotope thallium-210 is 1.30 minutes. How…

A: half-life = t1/2  = 1.30 min initial concentration = ao = 51.3 microgram final concentration = a =…

Q: The natural abundance of 14C in the earth's atmosphere and all living organisms is approximately…

A: Half-life is the time taken for the reactant to reduce the amount of the isotope to half its initial…

Q: Chromium-51 is a radioisotope that is used to assess the lifetime of red blood cells The half-life…

A: Given: The half life, (t1/2)=27.7 days. The initial concentration of Cr-51=28.7 mg 981

Q: If the first-order half-life of tritium (³H) is 12.26 years, what amount of time is necessary for it…

A: Given data : half-life of tritium (³H) is 12.26 years Let the initial amount be x. Also given that,…

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)?

A:

Q: A certain radioactive material contains 1010 atoms and has a half-life of 20 days. (i.) Calculate…

A: No of atoms in radioactive elements = N 1010 atoms Half Life = t1/2 = 20 days No of disintegration…

Q: If 28.0% of a sample of gallium-66 decays in 4.46 hours, what is the half-life of this isotope (in…

A:

Q: In living organisms, C-14 atoms disintegrate at a rate of 15.3 atoms per minute per gram of carbon.…

A: Answer is explained below. Given that, in living organisms C-14 atoms disintigrate at a rate of 15.3…

Q: Naturally occurring uranium is composed mostly of 238U and 235U, with relative abundances of 99.28%…

A:

Q: The radioisotope phosphorus-32 is used in tracers for measuring phosphorus uptake by plants. The…

A:

Q: Phosphorus-32 is a radioisotope used to detect certain types of tumors. P-32 has an effective…

A: Phosphorus-32 is a radioisotope used to detect certain types of tumours. P-32 has an effective…

Q: A nuclear power plant emits into the atmosphere a very small amount of krypton-85, a radioactive…

A: Given: Half life (t1/2) = 10.76 years  Total time (T) = 25 years

Q: Q1 A sample of leather is analyzed by carbon-14 dating. The concentration of 14C in this sample is…

A:

Q: A radioactive isotope has a half-life of 14.8 hrs. Calculate its rate constant.

A: Since all the radioactive decays are first order decay reactions

Q: Americium-241 is widely used in smoke detectors. The radiation released by this element ionizes…

A: Answer:- this question is answered by using the simple concept of nuclear chemistry which involves…

Q: After 42 years, what mass remains of a 100.0 g sample of a radioactive isotope with a half-life of…

A:

Q: Naturally occurring uranium is composed mostly of 238U and 235U, with relative abundances of 99.28%…

A: Given, relative abundance : U238=99.28 % U235=0.72% Half life : t1/2 of U238=4.5×109 yr t1/2 of…

Q: Cobalt-60, used in cancer therapy, decays by beta and gamma emission. The decay constant is 4.18 x…

A: Expression for half-life period of radioactive element is given as, t1/2=ln2λλ-Radio active decay…

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A: Given the half-life of cobalt=5.27 years.

Q: Strontium-90 (90Sr) is a radioactive isotope with a half-life of 28.8 years. What percentage of this…

A: The radioactive disintegration falls in the type of first-order kinetics where reaction rate…

Q: A sample of a newly discovered element, West Virginium, has been discovered.  A 167 mg sample has…

A: We will use first order kinetics to solve this question.

Q: Naturally occurring uranium is composed mostly of 238U and 235U, with relative abundances of 99.28%…

A: Decay constant for 238U can be calculated as: λ=0.693t12=0.6934.5×109years-1 Decay constant for 235…

Q: Iodine-131 is a radioactive isotope. After 2.00 days, 84.2% of a sample of 13I remains. What is the…

A: Iodine- 131 is an radioactive isotope. Time = 2 days Final concentration of 131l  = 84.2% of sample…

Q: The radioactive isotope Pu-238, used in pacemakers, has a half-life of 87.7 years. If 1.9 milligrams…

A: Given : Half - life = 87.7 years Initial Pu-238 = 1.9 mg

Q: Americium-241 is widely used in smoke detectors. The radiation released by this element ionizes…

A:

Q: Use the above information to answer the following questions. 1. Remains of an ancient caveman are…

A: Given: t1/2 = 5730 years The amount of C-14 left in the various species: 1) 25% in ancient caveman…

Q: 2. Tellurium-123 is a radioactive isotope occurring in natural tellurium. The decay constant is 1.7…

A:

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.