Physics (5th Edition)
5th Edition
ISBN: 9780134051802
Author: Walker
Publisher: PEARSON
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Chapter 32, Problem 3PCE
(a)
To determine
The nuclear radii of
79 197 Au
(b)
To determine
The nuclear radii of
27 60 Co
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232Th is an alpha emitter that has a half life that is similar to the age of the
universe (t1/2 = 1.405 10¹0 years). For this question, you will need to use information from
the table on the last page of the exam, and also the fact that the mass of an alpha particle
is 4.001506 amu, and an amu is equal to 931.5 MeV/c².
(a) Write the equation for the decay of 232 Th by a single alpha particle.
(b) Determine the energy
(c) What percentage of the 232Th nuclei that existed when the Earth was formed 4.54 billion
years ago are still around today?
released in this decay.
Calculate the nuclear binding energy (in units of MeV/nucleon) of Bi-209 using the following masses:
1H = 1.007825 amu
10n = 1.008665 amu
209Bi = 208.9803987 amu.
the nuclear binding energy of Au-197 is found to be 1576 MeV and the binding energy per nucleon is 8 MeV. What is the nuclear binding energy in J/mol? (c=2.99x108 m/s)
Chapter 32 Solutions
Physics (5th Edition)
Ch. 32.1 - Prob. 1EYUCh. 32.2 - A given nucleus can decay by alpha decay, beta...Ch. 32.3 - Prob. 3EYUCh. 32.4 - Prob. 4EYUCh. 32.5 - Prob. 5EYUCh. 32.6 - Prob. 6EYUCh. 32.7 - Prob. 7EYUCh. 32.8 - Prob. 8EYUCh. 32.9 - Prob. 9EYUCh. 32 - Prob. 1CQ
Ch. 32 - Prob. 2CQCh. 32 - Prob. 3CQCh. 32 - Prob. 4CQCh. 32 - Prob. 5CQCh. 32 - Prob. 6CQCh. 32 - Prob. 7CQCh. 32 - Prob. 8CQCh. 32 - Prob. 9CQCh. 32 - Prob. 1PCECh. 32 - Prob. 2PCECh. 32 - Prob. 3PCECh. 32 - Prob. 4PCECh. 32 - Prob. 5PCECh. 32 - Prob. 6PCECh. 32 - Prob. 7PCECh. 32 - Prob. 8PCECh. 32 - Prob. 9PCECh. 32 - Prob. 10PCECh. 32 - Prob. 11PCECh. 32 - Prob. 12PCECh. 32 - Prob. 13PCECh. 32 - Prob. 14PCECh. 32 - Prob. 15PCECh. 32 - Prob. 16PCECh. 32 - Prob. 17PCECh. 32 - Prob. 18PCECh. 32 - Prob. 19PCECh. 32 - Prob. 20PCECh. 32 - Prob. 21PCECh. 32 - Prob. 22PCECh. 32 - Prob. 23PCECh. 32 - Prob. 24PCECh. 32 - Prob. 25PCECh. 32 - Prob. 26PCECh. 32 - Prob. 27PCECh. 32 - Prob. 28PCECh. 32 - Suppose we were to discover that the ratio of...Ch. 32 - A radioactive sample is placed in a closed...Ch. 32 - Radon gas has a half-life of 3.82 d. What is the...Ch. 32 - Prob. 32PCECh. 32 - The number of radioactive nuclei in a particular...Ch. 32 - Prob. 34PCECh. 32 - Prob. 35PCECh. 32 - Prob. 36PCECh. 32 - Prob. 37PCECh. 32 - Prob. 38PCECh. 32 - Prob. 39PCECh. 32 - Prob. 40PCECh. 32 - Prob. 41PCECh. 32 - Prob. 42PCECh. 32 - Prob. 43PCECh. 32 - Prob. 44PCECh. 32 - Prob. 45PCECh. 32 - Prob. 46PCECh. 32 - Prob. 47PCECh. 32 - Prob. 48PCECh. 32 - Prob. 49PCECh. 32 - Prob. 50PCECh. 32 - Prob. 51PCECh. 32 - Prob. 52PCECh. 32 - Prob. 53PCECh. 32 - Prob. 54PCECh. 32 - Prob. 55PCECh. 32 - Consider a fusion reaction in which two deuterium...Ch. 32 - Prob. 57PCECh. 32 - Prob. 58PCECh. 32 - Prob. 59PCECh. 32 - Prob. 60PCECh. 32 - Prob. 61PCECh. 32 - Prob. 62PCECh. 32 - Prob. 63PCECh. 32 - Prob. 64PCECh. 32 - Prob. 65PCECh. 32 - Prob. 66PCECh. 32 - Prob. 67PCECh. 32 - Prob. 68GPCh. 32 - Prob. 69GPCh. 32 - Prob. 70GPCh. 32 - Prob. 71GPCh. 32 - Prob. 72GPCh. 32 - Prob. 73GPCh. 32 - Moon Rocks In one of the rocks brought back from...Ch. 32 - Prob. 75GPCh. 32 - Prob. 76GPCh. 32 - Prob. 77GPCh. 32 - Prob. 78GPCh. 32 - Prob. 79GPCh. 32 - Prob. 80GPCh. 32 - Prob. 81GPCh. 32 - Prob. 82GPCh. 32 - Prob. 83GPCh. 32 - Prob. 84GPCh. 32 - Prob. 85GPCh. 32 - Prob. 86GPCh. 32 - Prob. 87GPCh. 32 - Prob. 88GPCh. 32 - Prob. 89PPCh. 32 - Prob. 90PPCh. 32 - Prob. 91PP
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- The decay of 238U to 206 Pb has a half life of 4.46 Giga-years (billions of years, Gy). A rock is found to contain 4.06 mg of 238U and 2.32 mg of 206 Pb. Assuming that the rock contained no lead at the time of formation, determine the age of the rock in units of Giga-years (billions of years, Gy) to an accuracy of 1 decimal place.arrow_forwardCalculate the binding energy (in MeV) of the last neutron in the 188O nucleus. (Hint: You should compare the mass of 188O with the mass of 178O plus the mass of the last neutron. The mass of 178O = 16.999131 u, whereas the mass of 188O = 17.999160 u.) MeVarrow_forward= U is for Uranium. Natural uranium consists of 235U (percent abundance P₁ = 0.7300%, A₁ = 3.12 x 10-¹7 [s-¹]) and 233U (percent abundance P₂ = 99.27%, 2₂ = 4.92 × 10-¹8 [s-¹]). Consider the time when Earth was formed 4.5 billion years ago. Setup the time dependence of percent abundance of the two uranium isotopes. Use №₁ and N₂ as current particle count of the isotopes (use №₁,0 and N₂,0 for the initial particle count back when Earth was formed) Then, Compute for the initial percent abundance of each uranium isotopes when the Earth was formed.arrow_forward
- B: In a nuclear station, find the power produced by fissioning 5 grams of Thorium fuel (Th232) per one day. Mass number of Thorium is 232. Assume the number of fissions required for watt- second in Th232 is 6.2- 10 10arrow_forwardA 21186Rn nucleus undergoes alpha decay according to the reaction 21186Rn → 20784Po + 42He. Determine the following. (Let the atomic mass of 21186Rn be 210.9906 u, the atomic mass of 20784Po be 206.9816 u and the atomic mass of 42He be 4.0026 u.) (a)Q value (in MeV) for the process (Enter your answer to at least two decimal places.) (b)Kinetic energy (in MeV) of the alpha particle after the decay (Enter your answer to at least two decimal places.) (c) Kinetic energy (in MeV) of the daughter nucleus after the decayarrow_forward1 In the fission process 235U + n - what number goes in (a) the elevated box (the superscript) and (b) the descended box (the value of Z)? 132Sn + 0 + 3n,arrow_forward
- PLEASE HELP ASAP I WILL RATEarrow_forwardCh31 P34. A rare decay mode has been observed in which 222 Ra emits a 14C nucleus. The decay equation is 222 Ra AX+¹4C and you have identified unknown nuclide, AX, in the problem of Section 31.4. You'll need to use that answer in this problem. (a) Find the mass change from the parent nuclide to the daughter nuclides. Enter your answer to 7 SigFigs. The mass change answers in nuclear decays must be correct to 6 places past the decimal point. Units are not required for this problem. u. (b) Find the energy emitted in the decay in units of MeV. The mass of 222Ra is 222.015353 u. Enter your answer to 3sigFigs in MeV. Units are not required in this answer. Mev. Checkarrow_forwardNUCLEAR CHEMISTRY: Consider the nuclei Sn with an atomic number of 50 and mass number is 117 . Determine its mass defect in kilograms if its atomic mass is 116.956 amu. The mass of a proton and neutron are 1.0073 and 1.0087 amu, respectively. Express your answers in three decimal places in scientific notation, i.e., 6.022e23 to represent 6.022x 105arrow_forward
- A 50 grams in radionuclide decays 45 grams in 240 years. What is the halflife of the radionuclide? If the energy of the hydrogen atom is -13.6 eV/n2, determine the energy of the hydrogen atom in the state n= 1,2,3,4,5 and hence the energy required to transition an atom from the ground state to n=5? [ 1eV = 16 x10-19 J , h = ]arrow_forwardCalculate the binding energy per nucleon of the carbon nucleus, 612?. (Given mass of proton = 1.007276 u, mass of neutron = 1.008665 u, mass of electron = 0.000549 u and mass of Carbon-12 atom = 12.000000 u)arrow_forwardWhat is the binding energy per nucleon for the following isotopes? Suppose that mn = 1.008665 u, m1H =1.007825 u, 1u= 931.494 MeV/c2. 1) What is the binding energy per nucleon for 90Sr? (Express your answer to six significant figures.) 2) What is the binding energy per nucleon for 129I? (Express your answer to six significant figures.) 3) What is the binding energy per nucleon for235U? (Express your answer to six significant figures.) 4) What is the binding energy per nucleon for 56Fe? (Express your answer to six significant figures.)arrow_forward
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