Plutonium has a half-life of 8×10¹ years. How long will it take for 5 g of plutonium to decay into 1 g.
Q: The half life of iodine-123 is about 13 hours. You begin with 50 grams. Write an equation remaining…
A: Write the amount of iodine as a function of time (t),
Q: Consider an electric circuit containing a capacitor, resistor, and
A: Given: RC circuit:
Q: What is the binding energy required for the element Beryllium, which has an atomic mass of 9.01 u?…
A:
Q: The corresponding graph shows a group of points (a, b, c, d), which represent the number of original…
A:
Q: A geologist finds an old rock and wants to determine its age using rubidium-strontium dating. This…
A: The age of the rock is 1.36 x 10¹⁰ years
Q: it has taken 30 days for a particular nuclide to decay to 25% of its original activity. what is the…
A:
Q: At the beginning of an experiment, a scientist has 336 grams of radioactive goo. After 60 minutes,…
A: Given data: The initial mass of the radioactive goo is, M0 = 336 gram The final mass of the…
Q: The radioactive isotope 209 Po has a half-life of 103 years. How long would it take 84 for only 4.00…
A: Given: The half-life time is 103 years. The remaining sample is 4 g. The total amount of the sample…
Q: A radioactive material has a half life of 4.6 minutes. After 8.1 minutes, which percentage of the…
A:
Q: atomic mass unit = 1.661x10-24 grams Technetium-99 has a half-life of 6 hours. Suppose a lab has 80…
A: Half life of Technetium -99 T1/2 = 6 hours Initial amount (mo) = 80 mg Let amount left after t…
Q: A 1-kg sample of a certain radioactive element is left to decay. The mass of that element is reduced…
A: The half-life of an element is calculated using the relation: N(t)=N012tt1/2…
Q: Q4. A. Use the graph as shown below. Determine the half-life of Plutonium-239. Undecayed particles…
A: Given At , t = 0 Amount of Plutonium-239 & Carbon -14 are 100℅ . (A) from given graph…
Q: One of the nuclear fission reaction that can happen in a nuclear reactor is the fission of…
A:
Q: Isotope X has a half-life of 100 days. A sample is known to have contained about 1,500,000 atoms of…
A:
Q: Carbon is one of the fundamental elements in everything that's alive on Earth. The three naturally…
A: Carbon has generally three isotopes found in nature. Isotopes are those which have the same proton…
Q: The radioactive gas krypton-85, produced by nuclear power plants as well as volcanoes, is present in…
A:
Q: Elemental carbon has 6 protons and 6 neutrons. This is often described as carbon-12. Carbon-13 has 6…
A: Mass Number = Number of protons + Number of neutrons For Plutonium: Mass Number = 244 Number of…
Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…
A:
Q: 64 g of a radioactive substance is prepared. 105 hours later, only 16 g remains. To the nearest…
A: To the nearest hour, the radioactive half-life of the substance is 52.5hours
Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…
A:
Q: Consider a small pot with a copper base. The base has a thickness of 2.0 mm and a diameter of 15 cm.…
A:
Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…
A: Given, Half life t1/2=10.76 years
Q: The half-life of a radioactive isotope is 140 d. How many days would it take for the decay rate of a…
A: Concept: The time required for a quantity to reduce to half of its initial value is known as…
Q: One method for determining the age of ancient objects is by radiocarbon dating. Natural processes…
A:
Q: A group of geochemists have been analyzing a sample of radioactive material. After plotting ln(a)…
A: Given: slope value of graph, S=-1×10-9 s-1
Q: Tritium, the hydrogen isotope of mass 3, has a half-life of 12.3 y. What fraction of the tritium…
A: Not all combinations of neutrons and protons are stable. When there are too less or too many…
Q: A pure sample of a newly discovered radioactive isotope is discovered. It has a half-life of 78 y.…
A:
Q: A group of geochemists have been analyzing a sample of radioactive material. After plotting ln(a)…
A: The equation of radioactive decay is a=a0e-kt⇒lna=lna0-kt This is a equation of straight line with…
- Radioactive decay takes place when an unstable nucleus becomes stable. The instability arises due to a mismatch between the number of neutrons and protons. Only a few configurations of neutrons and protons are stable.
- The radioactive decay will be exponential in nature and is given by,
Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.
Step by step
Solved in 3 steps
- The original number of atoms in a sample of a radioactive element is 4.00x10-0 . Find the time it takes to decay to 1.00x104 atoms if the half-life was 14.7 years? O 147 years O 29.4 years O 78.2 years O 58.8 yearsUranium (protons = 92, neutrons = 146, atomic mass = 238.050788 u) decays via alpha decay to Thorium (protons = 90, neutrons = 144, atomic mass = 234.043601 u). What is the kinetic energy of the emitted alpha particle? (Hint: Any energy that is not locked up in rest energy of the product nuclei will go to kinetic energy in the alpha particle.) (Hint: the answer is 4.27 MeV)5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a. Write an exponential function to model this situation and define each variable. ( b. Determine what fraction of a sample of Krypton-85 will remain after 86.08 years. State the answer as an exact fraction value. ( C. Determine how long will it take for a sample of Krypton-85 to decay to 1/64 of its original mass. Round your answer to the nearest hundredth of a year.
- A sample of plutonium-239 has a mass of 24.0 mg. If after 72300 years 6.00mg are left, what is the half life of this isotope?A dose of 8.60 mCi of a radioactive isotope is injected into a patient. The isotope has a half-life of 3.0 h. How many of the isotope parents are injected?The half-life of a radioactive isotope is 6.02 hours. 25.0 Grams of this isotope is needed for an experiment. How many grams of the isotope must be ordered if 48 hours pass between the time the isotope is ordered and the start of the experiment?
- You inherit 32 kg of cesium-136 after your roommate moves out and leaves it behind. Cesium-137 has a half-life of 30 years. If you pack it in a box and forget about it, but your grandchildren finds it in the attic 90 years from now, how much of the sample is still cesium-137?A radioactive sample took 10 years to reach 25% of its initial amount. Estimate the half life of the material.A rock contains the radioactive isotope ? − 40 that decays with a half-life of 1.3 ??????? ????? and the radioactive isotope ?? − 87 that decays with a half-life of 48.6 ??????? ?????. The rock is 100 ??????? ????? old. The rock currently has 1000 times as many ?? − 87 atoms as there are ? − 40 atoms. (That is, ??? = 1000 × ??.) When the rock first formed it had ? times as many ?? − 87 atoms as ? − 40 atoms. (That is, ???,0 = ? × ??,0.) What is the value of ??
- In order to determine its rate of decay, 1 gram of an unknown radioactive isotope was placed in a container. The amount remaining was measured at 1-minute intervals and recorded in the table below. Time (in minutes) Grams remaining 0 1.000 1 0.956 2 0.914 3 0.874 4 0.835 5 0.799 Find an exponential model for the data with variable M corresponding to remaining mass (in grams) and t corresponding to time (in minutes). a) M = 1 × 95.600^t b) M = 0.956 x 1^tc) M =1 x 0.956^td) M = 95.600 x 1^tTechnetium-99 (half-life = 6.0 h) is used in medical imaging. How many half live would go by 36 hours?