Initially 73 grams of radioactive substance was present. After 6 hours the mass had decreased by 7%. If the rate of decay is proportional to the amount of the substance present at a time t, find the amount remaining after 85 hours.
Q: A certain radioactive nuclide decays with a disintegration constant of 0.0256 h1 (a) Calculate the…
A: Given(s): Decay constant, λ=0.0256 h-1 Require: Half-life, t12=? Fraction of sample left after,…
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: Given that: Decay constant of parent nucleus = k1 Decay constant of daughter nucleus = k2 y1(0)=a…
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Q: After 2.14 days, the activity of a sample of an unknown type radioactive material has decreased to…
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Q: An 1 g sample of a radioactive element takes 83.92 million years to reduce into 1 µg. Calculate the…
A: Radioactive decay takes place when an unstable nucleus becomes stable. The instability arises due to…
Q: Half-life of radioactive element 13153I is 8.0252 days. (A) Its decay constant, λ (B) Percentage…
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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.
Q: An 10 g sample of a radioactive element takes 5432.6 years to reduce into 1 g. Calculate the…
A: Radioactive decay takes place when an unstable nucleus becomes stable. The instability arises due to…
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 of 131I is 8.04 days. (a) Convert the half-life to units of seconds. s (b) What is…
A: As per guidelines , only 3 subparts are solved here. The half-life of 131I is 8.04 days. (a) 1 days…
Q: Suppose we have a sample containing 1.91 mCl of radioactive 131 (t,2 - 8.04 d). (a) How many decays…
A: Solution: Given that half-life of the sample, t1/2 = 8.04 days = 694656 s. Time for decay, t = 5week…
Q: In a lab a radioactive sample is studied for 5 days. It was observed that the radioactive nuclides…
A: Radioactive decay is the process by which an unstable nucleus becomes stable. The decay process is…
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: a) The activity of a radioactive source is given by dN AN dt where N is the number of nuclei present…
A: A) The activity of a radioactive source is given by : -dNdt = λN initial number of nuclei = No at t…
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 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: What percentage of a radioactive substance remains after 7.00 half-lives have elapsed?
A: Time=7 half life
Q: A radioactive sample is prepared; 10.78 hours later, only 1/16th of the original sample remains.…
A: Activity N=N0e-λt 10.78 hours later, only 1/16th of the original sample remains N016=N0e-λ10.78…
Q: Supposed that a radioactive substance has decayed until only of 1/8 of it remains. How many…
A: let initial number of Nucleons= N0 remaining number of Nucleons= N =N08
Q: The number of radioactive nuclei present at the start of an experiment is 5.38 x 1015. The number…
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Q: The half-life of a radioactive isotope is 140 d. How many days would it take for the decay rate of a…
A: Given that, Half life of the isotope, T = 140 days We know that, The half life is the time in…
Q: 16. What is the decay rate of carbon 147 Express your answer in yr. 17. In dating using radiocarbon,…
A: Solution: 16. The decay rate is given in terms of half-life of radioactive material is given by,…
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: The half-life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…
A: Half life T1/2= yearsInitial activity of the sample A0=6.9 BqActivity of sample At= 1.0 Bq
Q: The radioactive isotope of lead ^209Pb decays according to the differential equation dN/dt=-kN. The…
A: Remaining fraction = (100-78)/100 e^-(.693t/3.3) = .22 take ln both sides - .693t/3.3 = ln (.22) =…
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- After 1.80 days, the activity of a sample of an unknown type radioactive material has decreased to 80.4% of the initial activity. What is the half-life of this material?(a) At an initial time, a radioactive sample has an activity of 8.77x104 Bq. After 3.88 hours the activity is 5.35x104 Bq. (A) What is the half-life of the isotope? (B) What is the activity after an additional 3.88 hours? (A) (in s) OA: 6.426x103 OB: 9.317x103 oC: 1.351x104 OD: 1.959x104 OE: 2.840x104 OF: 4.119x104 OG: 5.972x104 (B) (in Bq) H: 8.660x104 OA: 1.387x104 OB: 1.845x104 OC: 2.454x104 OD: 3.264x104 OE: 4.341x104 OF: 5.773x104 OG: 7.678x104 OH: 1.021x105The half-life of 1311 is 8.04 days. (a) Convert the half-life to seconds. S (b) Calculate the decay constant for this isotope. S-1 (c) Convert 0.570 μCi to the SI unit the becquerel. Bq (d) Find the number of 13¹1 nuclei necessary to produce a sample with an activity of 0.570 μCi. 1311 nuclei (e) Suppose the activity of a certain 13¹1 sample is 6.90 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.) half-lives mCi
- Does the number of radioactive nuclei in a sample decrease to exactly half its original value in one half-life? Explain in terms of the statistical nature of radioactive decay.The activity of a particular radioactive nuclide falls from 1 × 1011 Bq to 2 × 1010 Bq in 10 hours. Calculate the half-life of the nuclide.What fraction f1 of a radioactive sample will be left after 6 half‑lives? What fraction f2 of a radioactive sample will be left after 7.5 half‑lives?
- Use the fact that there are 3.13x107 s/year. (a) The half-life of the radioactive nucleus 22688Ra is 1.58x103 years. What is the decay constant (in s-1) of 22688Ra? (b) If a sample of 22688Ra nuclei has a decay rate of 3.9x105 decays /s at t = 0, then what is the decay rate after the sample is 4740 years old?Radon gas has a half-life of 3.83 days. If 2.70 g of radon gas is present at time t = 0, what mass of radon will remain after 2.40 days have passed?Iodine-131 is used in the form of sodium iodide to trwat cancer of the thyroid. The isotope has a half life of 8.04 days. If you begin with 25.0-mg of radioactive 131I, what mass remains after 32.2 days?