Prove that A(t) = Age-at using the concept of radioactive decay law.
Q: A particular radioactive material was weighed exactly 1 year ago, showing a mass of 200 g. If the…
A: Given: Mo=200 gM=23.0 gt=1 year = 365 days
Q: The radioactive decay law is given by where N(t) = Noet 2= In(2) 11/2
A: We have given radioactive decay law. We want to linearlize the given equation.
Q: After how many half-lives will (a) 10.0%, (b) 5.00%, and (c) 1.00% of a radioactive sample remain?
A: Formula to calculate the number of half-lives is,
Q: A 1.13-cm panel of a certain material can absorb 86.5% of incoming rays from a radioactive source.…
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Q: Find the activity A of a sample containing 4E-6 g of 60/27 Co (T1/2= 5.27 years). (Use 59.93 u as…
A: the problem is based upon the concept of radioactivity. Using the formula for the activity of a…
Q: Calculate the nucelar radius of uranium-238.
A: The destiny of a nucleus does not depend on the mass number A. Very light nuclei and heavy nuclei…
Q: B- Measurements on a radioactive sample show that its activity decreases by a factor of five during…
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Q: Half-life of radioactive element 13153I is 8.0252 days. (A) Its decay constant, λ (B) Percentage…
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Q: Use the values from PRACTICE IT to help you work this exercise. (a) Find the number of remaining…
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Q: Calculate the density and mass of the nuclide 56Fe in SI units.
A: Given: The density and mass of the nuclide 56Fe in SI units is calculated as below,
Q: Initially 73 grams of radioactive substance was present. After 6 hours the mass had decreased by 7%.…
A: Given, After 6 hours the mass had decreased by 7%. The decay rate is 7%. A differential equation for…
Q: ox was found which stated to have contained an al s by weight of two metals A and B. These metals…
A:
Q: Suppose the activity due to the radioactive decay of the carbon-14in a tiny sample of an artifact…
A: The activity of fresh wood sample is The activity of old wood sample is The half life of carbon 14…
Q: The activity of a sample of a radioisotope at some time is 10.7 mCi and 0.46 h later it is 7.10 mCi.…
A: Given that: The initial activity is N0=10.7 mCi The final activity is N=7.10mCi The time is t=0.46h…
Q: Draw a plot showing the variation of binding energy per nucleon versus the mass number (A). Explain…
A: The binding energy can be defined as the energy required to combine the constituent of the nucleus…
Q: Decay Products (a) Consider the alpha decay of polonoium-210. How much kinetic energy is released?…
A: Given that: (a) For the alpha decay of polonium-210 (210Po): Mass of polonium-210 (210Po) = 210…
Q: Suppose Radon gas is trapped in a basement after renovations. The half life of radon gas Is 3.8235…
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Q: Suppose a radioactive material, UPinium, was found under the chemistry building in 2000 (year). In…
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Q: The activity of a sample of a radioisotope at some time is 10.5 mCi and 0.46 h later it is 7.00 mCi.…
A: Initial activity of isotope is Ro = 10.5 mCi Activity after some time is R = 7.00 mCi Time elapsed…
Q: The decay rate of a radioactive source decreases by 28% in 80 h. Determine the half-life, decay…
A: The decay rate for a radioactive material follows the following decay equation A=Aoe-λtA is the…
Q: Q3:- The half-life of 31 is 8.04 days. (a) Calculate the decay constant for this isotope. (b) Find…
A: Given, Sample element is I131 half life of I131 is, T12=8.04 days a) According to radioactive…
Q: Use the worked example above to help you solve this problem. The half-life of the radioactive…
A: Given data:T1/2=1.6×103 yrN0=3.41×1016 nucleiFirstly, converting half life into…
Q: Use the equation for radioactive decay and solve for an algebraic expression for the time, “t” in…
A: Heavier nucleus are unstable. This is because there is increase in number of protons. This increase…
Q: Find the activity A of a sample containing 4E-6 g of 60/27 Co (T1/2= 5.27 years). (Use 59.93 u as…
A: Given : Half life of cobalt 60/27=5.27 years Mass of the sample = 4×10-6 gram Atomic mass of cobalt…
Q: For the radioactive isotope strontium-90, k is 2.47 x 10-2 years -1. If the original amount of…
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Q: The counting rate from a radioactive source is 4000 counts per second at time t=0. After 10 seconds,…
A: We know that activity is N=N0e-λt and T1/2=ln2λ=0.693λ Using the above formula the problem can be…
Q: (a) Draw the plot of binding energy per nucleon (BE/A) as a function of mass number A. Write two…
A: (a) The graph of the Binding Energy to the Atomic Mass,…
Q: certain radioactive imple at any instant is 4750 disintegrations per minute. Five inutes later the…
A: The decay constant of a radioactive nuclide is its probability of decay per unit time. Here, we…
Q: 5x10°ci of Sr( Ty2=27.7y8) in to air. The 10Sr falls out dver an area 900 04 Km? How Long will it…
A: Given: The half life is 27.7 yr. The area is 104 km2. The final activity is 2…
Q: We use a Geiger counter to measure YT, the total yield (in counts) due to a radioactive source with…
A: Everyone on the Earth is exposed to background radiation. The three primary sources of background…
Q: Assume ordinary soil contains natural uranium in amounts of 1 part per million by mass. (a) How much…
A: Given Data: The specific gravity of soil is, G=4.00 The density of the soil is, ρ=4×103 kg/m3 The…
Q: A radioactive equilibrium between 99mMo/99m Tc generator and its daughter is a transient…
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Q: Find the activity A of a sample containing 4E-6 g of 60/27 Co (T1/2= 5.27 years). (Use 59.93 u as…
A:
Q: If it is known that 87% of an initial radioactive sample remains after 3 days, what is the decay…
A: Given: The amount of radioactive decay is 87% of the initial amount. The time is 3 days.
Q: Barium-133 is a radioactive element used in certain medical procedures. A sample of pure Barium133…
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Q: This question: 1 poir A certain radioactive isotope decays at a rate of 0.15% annually. Determine…
A: radioactive isotope decays at a rate of 0.15% annually.
Q: The disintegration rate of a certain radioactiv sample at any instant is 4750 disintegrations per…
A: Decay constant determines the rate of decay. Here, we calculate the given as follow;
Q: Q3:-The half-life of 11 is 8.04 days. (a) Calculate the decay constant for this isotope. (b) Find…
A: (a) Given: half-life of 131I is 8.04 days i.e T1/2= 8.04 days= 8.04*24*3600= 694656 seconds. also,…
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