A sample of uranium ore contains 5.37 mg of U-238 and 2.52 mg of Pb-206. (a) Calculate the 238U/206Pb atomic ratio in the ore? (a) What is the age of the ore? The half-life of U-238 is 4.5 x 109 yr. (c) What will be the 238U/206Pb atomic ratio in a rock sample that is 5.0 billion years old? (Assume that the ore did not contain isotope lead-206 in the beginning.)

Q: The half-life of bismuth-210, 210Bi, is 5 days. (a) If a sample has a mass of 216 mg, find the…

A: The decay of radioactive elements follows first order kinetics. So we would use first order reaction…

Q: Following the triple-alpha process to form 12C, a variety of nuclear reactions can form heavier…

A: The given reaction is 16O + 16O →32S + ɤ

Q: A 6.2 mg sample of 90Sr (half-life 29.12 y) is in secular equilibrium with its daughter 90Y…

A: a) At equilibrium        λsrNsr = λyNy              Nsr = λyNyλsr                     = 29.12y365…

Q: A laboratory investigation shows that a sample of uranium ore contains 10.88 mg of 238U 92 206…

A: Radioactive decay is the process where the unstable nuclei get converted into stable daughter nuclei…

Q: The fraction of a radioactive isotope remaining at time tis  (1/2)t/t1/2, where t1/2is the…

A: Given: a) Fraction of Carbon-14 in a piece of charcoal after 10.0 yr is calculated as shown below,

Q: Complete and balance the nuclear equations for the fol- lowing fission reactions: 160s |(a) U + an →…

A: Balancing of nuclear reaction means balancing the number of protons and neutrons in the nucleus. The…

Q: Write balanced equations for each of the following nuclear reactions: (a) 23U(n, y)232U, (b) ¹0(p,…

A: 1.Nuclear reaction are the reaction in which atomic nuclei  bombarded with other atomic nuclei or…

Q: (21) Fluorine-18 is a radioactive isotope commonly used in medicine. It has a half-life of 110…

A:

Q: Determine the age of a rock containing 0.065 g of uranium-238 (t1/2=4.5x10^9yr) and 0.023 g of…

A: 238U decays and form 206Pb. First calculate the amount of 238U that got decayed to form 206Pb.…

Q: 7. If we start with 1.000 g of strontium-90, 0.953 g will remain after 2 years. (a) What is the…

A: Reladioactive decay reactions are first order reactions which can be solved as follows using…

Q: Cesium-137, which has a half-life of 30.2 yr, is a componentof the radioactive waste from nuclear…

A: The required formula is:

Q: Strontium-90 is a dangerous by-product of atomic testing because it mimics the action of calcium in…

A: Decay process is used for the emission of radioactive particles in a nuclear process. The conversion…

Q: A rock containing 238U and 206Pb was examined to determine its approximate age. The sample of a rock…

A:

Q: A sample of Uranium-234 has been decomposing. If the original mass of 234U is 2.57milligrams, how…

A:

Q: World War II aircraft had instruments with glowing radium-painted dials. The activity of one such…

A: Given , Activity =2.0×105 Bq

Q: (a) What mass of Na₂38SO4 has an activity of 11.7 mCi? Sulfur-38 has an atomic mass of 38.0 and a…

A:

Q: The curie (Ci) is a commonly used unit for measuring nuclear radioactivity: 1 curie of radiation is…

A: activity (dN / dt) = 11.7 mCi = 11.7 / 1000 Ci = 0.0117 Ci = 0.0117 * 3.7 * 10^10 = 4.329 * 10^8…

Q: Before 1900 the activity per unit mass of atmospheric carbon due to the presence of 14C averaged…

A: It is known that the half-life of 14C is 5730 yr

Q: Randon gas has atomic number 86 and mass number 222. Randon is radioactive and decays via alpha-…

A: Given: Randon gas has atomic number 86 and mass number 222. Randon is radioactive and decays via…

Q: A 27.00 gg sample of water containing tritium, 3-1H, emits 1250 beta particles per second. Tritium…

A:

Q: Part 1 The half-lives of 235U and 23$U are 7.04 x 10° years and 4.47 x 10° years, respectively, and…

A:

Q: Americium-241 is the most common isotope of americium. It is commonly found in ionization type smoke…

A:

Q: (a) the energy released in joules for a single event (one uranium atom splitting):…

A: In order to find energy released by the given reaction, we have to calculate the mass defect(∆m) of…

Q: The nuclear mass of 48 Ti is 47.9359 amu. Calculate the binding energy per nucleon for 48 Ti. AE per…

A: Given, nuclear mass of 48Ti = 47.9359 amu ( actual mass ) We know, 1 MeV = 1.602 × 10-13 joule Mass…

Q: (a) The molar mass of 144 Nd is 144 g/mol. A sample of ¹44 Nd has a mass of 53.94 g and emits an…

A:

Q: A sample initially consists of No radioactive atoms of a single isotope. After a time, t, the number…

A: All radioactive reactions are 1st order reactions . N=Noe-λt At t1/2 , N = No/2 .              No/2…

Q: Radiation seed therapy is a common method for treating some prostate cancers and brain tumors.…

A: Radioactive degradation follow first order kinetics.

Q: 8. Strontium-90 has a half-life of 28 days. ovn brs (a) A sample has a mass of 50 mg initially. Find…

A:

Q: 3. Cobalt-60 is a strong gamma emitter that has a half-life of 5.26 yr. The cobalt-60 in a…

A: Given, half life of Cobalt-60 =5.26 yr date of purchase of sample = June 2010

Q: Radioactive rhodium-99 decays with a half-life of 16.1 days. (a) What is the value of k in s-¹? -1…

A: Answer:Nuclear reactions are the first order reactions in which decay of radioactive material takes…

Q: A nuclide 22086X decays to a new nuclide Y by emission of two alpha particles and two beta…

A:

Q: (26) When plutonium-239 is bombarded with a neutron, it produces xenon-137, zirconium-95, and…

A: Here we have to determine the energy produced in the nuclear fission of 239-Pu having a mass of…

Q: The mass of the atom 23/11 Na is 22.9898 amu.(a) Calculate its binding energy per atom in millions…

A: Given: Notation for Na-11 is  N1123a Mass of sodium = 22.9898 amu Total protons in 23Na = 11 Total…

Q: Q2(B). Prove that it would take 17.6 years if an old sample of 10 g Co-60 with a half-life of 5.3…

A: We know nuclear decay is first order reaction. So we need to use first order rate equation. We also…

Q: The half-life of 14C is 5730 yr. Find the number of disintegrations per hour emitted by 1.0 mol of…

A: half-life of 14C is 5730 yr.

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

A: When we study the kinetics of any chemical reaction that means how slow or fast reaction is, then…

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.