At the beginning of an experiment, a scientist has 228 grams of radioactive goo. After 135 minutes, her sample has decayed to 3.5625 grams. What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. How many grams of goo will remain after 47 minutes?

Q: The half-life of bismuth-210, 210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount…

A: Solution-  (a)-The half life periods of Bismuth-210 is 5days.the rate of decay of any substance…

Q: If the amount of a radioactive element decreases from 0.36 g to 90. mg in 22 min, what is its…

A: Half-life (t1/2) is defined as the time required by a substance to reduce to half of its initial…

Q: If you accidentally spill phosphorus-32 onto your shoe, how long would it take before 99.9% of the…

A:

Q: A radioactive isotope has a half life of 98.9 minutes. How long will it take for the radiation from…

A: Given , Half life = 98.9 minutes Initial concentration = 325 pCi Time ,t = ?

Q: Phosphorus-32 is a radioactive isotope with a half-life of 14.3 d (d = days). A biochemist has a…

A: A radioactive decay follows the first order kinetics where the rate of the reaction depends on the…

Q: The half-life of 234U, uranium-234, is 2.52 105 yr. If 98.9% of the uranium in the original sample…

A:

Q: The half-life of radioactive chromium-51 is 28 days, If a sample of chromium-51 has a mass of 12.0…

A:

Q: The number of radioactive nuclides in a sample decays from 3.80 x to 1020 19 9.50 x 10 in 58.0…

A:

Q: If a rock contained 12.0 g of ⁴⁰K when the earth was formed 4.54 billion years ago and the half-life…

A: Given information is as follows; Initial mass of ⁴⁰K in the rock A0 = 12.0 g Final mass of ⁴⁰K in…

Q: A 1.55 g sample of an isotope has a half-life of 3.8 days. What mass of sample is left after 5.5…

A: given data,sample of an isotope or initial amount of sample =1.55 g sample half life =3.8…

Q: If uranium-238 has a half-life of 45 billion years, how many years would it take for a 10-gram…

A: Given  Half life of U-238 (t1/2)   = 45 billion years 1 billion years    = 109 years  45 billion…

Q: If you start with 71.0 grams of a radioactive substance with a half life of 3 days, how much will be…

A: Here given, Initial amount (N0) = 71 grams Half life (t1/2) = 3 days Time (t) = 15 days Amount left…

Q: At the beginning of an experiment, a scientist has 348 grams of radioactive goo. After 75 minutes,…

A: Radioactive decay follow first order kinetics. The integrated rate law for the first order reaction…

Q: Uranium-235 decays to Lead-207 with a half life of about 704 million. years. if you find a 1000g…

A: Half life of Uranium-235t12 = 704 million years Initial amount of fossilNo= 1000 gms Final amount of…

Q: Uranium-240 has a half-life of 14.1 hours (note this is NOT a fissionable isotope).  A country with…

A:

Q: A radioactive isotope has a half-life of 11 minutes.  How many grams of a 18.68 g sample remain…

A: Given Half life = 11minutes = 11*60= 660 second Sample weight = 18.68g Time = 44 minutes = 44*60=…

Q: The initial amount of the radioactive material V in a rock is determined to be 6.78 mg. Only 1.46 mg…

A: final answer is = 5.3200 mg

Q: Carbon-14 has a half life of 5730 years. In a plant fossil, you find that the 14C has decayed to…

A: Given that, half life , t12= of 5730 years. and  14C has decayed to 1/8.00 of the original amount

Q: 3. An archeologist unearths a bone sample and wants to know the age of the initial amount of…

A: Given:  Present amount of bone = 49 %  Half life = 5730 years

Q: Enter your answer in the provided box. A rock sample originally contains 3.32 mg of 43°U. How much…

A:

Q: about how much would have been left after three half-lives? A parent isotope has a half-life of 500…

A: Note : As per guidelines we can answer only the first question   The time it takes for the…

Q: Carbon-14 has a half-life of 5730 years. In a plant fossil, you find that the 14C has decayed to…

A: Given,                 Isotope = 14C                 Half life =5730 years                 Remaining…

Q: 7. If uranium-238 has a half-life of 45 billion years, how many years would it take for a 10-gram…

A: The half-life is the time required to reduce one half of the initial concentration of the substance.

Q: At the beginning of an experiment, a scientist has 244 grams of radioactive goo. After 105 minutes,…

A:

Q: The radioactive nuclide P# has a half-life of 14.3 days. How long would a waste containing 10 mg/L…

A: Answer: Radioactive reactions are first order reactions, therefore integrated rate law of first…

Q: A wooden object from a prehistoric site has a carbon-14 activity of 10 counts per minute (CPM)…

A: Given: Half-life = 5730 years [A]=10 cpm [A]0 = 40 cpm

Q: The radioactive nuclide Co has a half-life of 8.5 hours. What mass of Co remains from a 0.0196 g…

A: Half life = 8.5hrs  Mass = 0.0196g  t = 18hrs

Q: Iodine‑125 (I125I125) is used to treat, among other things, brain tumors and prostate cancer. It…

A: Answer is as follows

Q: radioactive sample originally contains 8.0g of an isotope with a half- life of 6 days. What is the…

A:

Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: To solve this question, first find out rate constant using half life and then use that to find out…

Q: The half life for the decay of carbon-14 is 5.73 x 10³ years. Suppose the activity due to the…

A: We need to calculate age of the wood sample

Q: The half life for the decay of carbon-14 is 5.73 x 10³ years. Suppose the activity due to the…

A: Given: The half-life of carbon-14 = 5.73 × 103 years The activity of the sample = 81 Bq The activity…

Q: Lead-211 is a radioactive isotope with a half life of 36.1 minutes.  How long will it take for only…

A: Chemical kinetics is branch of chemistry that deals with rates of chemical reactions.

Q: A radioactive isotope has a half life of 60.2 minutes.How long will it take for radiation from a 325…

A: The radioactive decay of an isotope follows a first-order reaction, The integrated rate law for a…

Q: While exploring a coal mine, scientists found plant fossils which had been preserved by an…

A: Given: Amount of carbon-14 in fossil = 20 counts/min = Nf Amount of carbon-14 in living tissue = 160…

Q: The radioactive isotope Ga decays by electron capture. If the mass of a sample of gallium-67 decays…

A: According to the integrated rate law for the first-order reaction, the concentration of reactant is…

Q: What is the half-live of a radioactive isotope if it takes 6.2 days for a 72g sample to decay to…

A: Given, 72 g to decay to 18 g. t = 6.2 days To calculate the half-life.

Q: A radioactive isotope has a half life of 83.3 minutes. How long will it take for the radiation from…

A:

Q: The half-life of carbon-14 is 5730 years. The wrapping of an Egyptian mummy gave off 3.8 counts per…

A: From the given data we haveHalf life of carbon-14=5730 yearsWrapping of mummy=3.8…

Q: A substance X initially weights 56 grams. After 6 minutes, it was observed that its mass decreased…

A: Mass at starting (t=0) = 56 grams Mass after 6 min = (56-12) g                                = 44 g…

Q: A rock contains a Pb-206 to U- 238 mass ratio of 0.262: 1.00. Assuming that the rock did not contain…

A: The answer to the following question is-

Q: If a rock contained 12.0 g of 4°K when the earth was formed 4.54 billion years ago and the half-life…

A:

Q: If you have 2.00 grams of a radioisotope, with a half-life of 5 days, how much of the isotope is…

A: Given;

Q: 4. The half-life of radioactive radium-224 is 3.50 days. What was the original mass if 0.200 g…

A:

Q: A radioactive isotope has a half-life of 84.5 minutes. How long will it take for the radiation from…

A: Half life t1/2 = 84.5 min = 5070 s

Q: 3.7. The radioactive nuclide Co has a half-life of 5.27 years. Calculate the mass of Co that remains…

A: Rate of a reaction determines the speed with which a reaction proceeds. First order reaction is a…

Q: Carbon-14 has a half-life of 5715 years. It is used to determine the age of ancient objects. If a…

A:

Q: If the half-life of a radioactive isotope is 3.5 minutes, how many grams of a 200-gram sample would…

A: The interval of time required for a radioactive isotope to decay to one-half of its atomic nuclei is…

Q: a. i. The half-life of 20 kg of Bismuth -210 is 20 minutes. Explain this statement? ii. A…

A: The half-life of 20 kg of Bismuth -210 is 20 minutes means after every 20mints the concentration of…

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.