Naturally occurring 40K is listed as responsible for 27 mrem/y of background radiation. Calculate the mass of 40K in grams that must be inside the 51 kg body of a woman to produce this dose. Each 40K decay emits a 1.32 MeV β, and 44% of the energy is absorbed inside the body.

Naturally occurring 40K is listed as responsible for 27 mrem/y of background radiation. Calculate the mass of 40K in grams that must be inside the 51 kg body of a woman to produce this dose. Each 40K decay emits a 1.32 MeV β, and 44% of the energy is absorbed inside the body.

Related questions

Q: Question 4. A synthetic radioisotope is freshly prepared in a lab that has an ac- ivity of 10.0 mCi.…

A: Given data as per question t = 5.00 h A0 = 10.0mCi

Q: A moon rock collected by a U.S. Apollo mission is estimated to be 4.00 billion years old by…

Q: Your lab has been given a radioactive sample and you determine that the decay constant is 3.00 x…

A: The activity of a radioactive sample R is where is the decay constant and N is the number of…

Q: Consider the fission process induced by 239^U by a thermal neutron that produces 140^Ce, 99^Ru and N…

A: Solution: The mass of the Uranium is m( U92239 ) = 239.05429 u The mass of the neutron is m (n10 ) =…

Q: The energy released per gram of 235^U in J/g in the case of the fission of this nucleus at 144^Ba,…

Q: Calculate the nuclear binding energy per nucleon, in MeV, for a nucleus containing 135 nucleons, of…

Q: If a 1.90 cm thick piece of lead can absorb 90.0% of the γ rays from a radioactive source, how many…

Q: A beam of 168 MeV nitrogen nuclei is used for radiotherapy. If this beam delivers a 2.00 Sv dose to…

A: Given: Energy of beam (E) = 168 MeV. Of nitrogen nuclie. Relative biological effectiveness (R.B.E.)…

Q: A large power reactor that has been in operation for some months is turned off, but residual…

A: Power ( P ) = 135 MW Average energy per decay = 1.04 MeV

Q: Calculate the total binding energy and the binding energy per nucleon for (a) ⁵⁶Fe , (b) ²³⁸U .

A: In Fe56 no. of protons = 26 no. of neutrons = mass-no. of protons = 56-26=30 Total mass of 30…

Q: When Po decays, the product is Pb. The half-life of this decay process is 1.78 ms. If the initial…

A: Determine the decay constant as follows. λ=0.693t12=0.6931.78 ms=0.6931.78×10-3 s=389.3258 s-1

Q: Large amounts of 65zn are produced in copper exposed to accelerator beams. A physicist was machining…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

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: A patient with prostate cancer is treated with implanted seeds that contain the samarium isotope…

Q: Use the binding energy per nucleon curve in the figure above to determine how much energy must be…

A: The binding energy is equal to the amount of energy released in forming the nucleus or amount of…

Q: The mass defect associated with a fusion reaction is 3.20 x10 the amount of energy,in MeV, released…

A: The objective of this question is to calculate the amount of energy released in a fusion reaction…

Q: Calculate the nuclear binding energy per nucleon (in J/nucleon) for the nuclei 80X with a mass…

A: Mass defect (∆) = 0.4425 amu Binding energy (B.E) = 0.4425 × 931.5 Mev B.E…

Q: Eight α particles and six β particles are emitted from an atom of 238 92U before it achieves…

A: Decay reaction can be represented as follows. U92238 → XZA +8 He24 +6 e-10

Q: Suppose a radioactive material, UPinium, was found under the chemistry building in 2000 (year). In…

Q: How much energy is released in the following fission process? 23592U + n→ 14156Ba +⁹236Kr+ 3n The…

Q: You do Brachytherapy using 130 capsules filled with 137Cs with a half-life of 30.2y that emits 662…

Q: 18F is an unstable isotope of fluorine (Z=9) that decays by beta plus emission (β+ decay) with a…

A: solution is given by

Q: Calculate the nuclear binding energy per nucleon, in MeV, for a nucleus containing 135 nucleons, of…

A: Given that,Number of nucleons=135Number of protons=56Number of neutrons=79Number of…

Q: Calculate the nuclear binding energy per nucleon (in J/nucleon) for the nuclei 171X with a mass…

Q: The energy released per gram of 235^U in J/g in the case of the fission of this nucleus at 144^Ba,…

Q: In the 1986 disaster at the Chernobyl reactor in eastern Europe, about 1 8 of the 137 Cs present in…

A: It is a measure of radiation dose to tissue. It is less fundamental than absorbed dose, but has…

Q: (a) Natural potassium contains 40K , which has a halflife of 1.277 X 09 y. What mass of 40K in a…

A: Half-life of k-40 1.277 X 09 y Decay rate of 4140 Bq a) Number of k-40 nuclei…

Q: A small region of a cancer patient’s brain is exposed for 24.0 min to 475 Bq of radioactivity from…

A: Given: To find the dose in rads with the given values as,

Q: Large amounts of bSZn are produced in copper exposed to accelerator beams. A physicist was machining…

A: Given, The physicist ingest 83.3μCi of Z65n average gamma energy emits by the source is, Eavg =…

Q: e half-life of 131I is 8.04 days. (a) Convert the half-life to seconds. s (b) Calculate the decay…

A: "Since you have posted a question with multiple sub-parts, as per strict guidelines to us we will…

Q: In a nuclear reactor accident, the 137Cs (?1/2 = 30.2 years) nuclide is among the most problematic…

A: Given : Description of a nuclear reactor using 137Cs.

Q: Consider the following. n + 239Pu → 90Kr + 148Ce + 2 n (a) Calculate the energy released in the…

A: Given data: mK90r=89.919524 u mC148e=147.924395 u mP239u=239.0521634 u mn=1.008664 u

Q: Find the attachment.

A: The first fusion reaction is n+H3e→H4e+γThe fusion of a neutron with a Helium 3 isotope gives a…

Q: 11. 252Cf decays by spontaneous fission 3.09% of the time and by alpha particle emission 96.91% of…

A: Concept used: Activity of a sample is found by decay constant times no. of atoms in given sample.

Q: Find the attachment.

A: Nuclear binding energy is the minimum energy required to disassemble the nucleus of an atom into…

Q: Naturally occurring 40K is listed as responsible for 40 mrem/y of background radiation. Calculate…

Question

Naturally occurring ⁴⁰K is listed as responsible for 27 mrem/y of background radiation. Calculate the mass of ⁴⁰K in grams that must be inside the 51 kg body of a woman to produce this dose. Each ⁴⁰K decay emits a 1.32 MeV β, and 44% of the energy is absorbed inside the body.

Expert Solution