College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 30, Problem 2CQ
To determine
To explain: Whether the mass of hydrogen atom
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How many kJ of energy are released to form one mole of 133Cs from protons and neutrons if the atom has a mass of 132.905429 amu? Please remember to include the mass of electrons in the calculation. Given the mass of a proton is 1.007825 amu
C3. A Rubidium nucleus undergoes the electron capture as given by 33Rb + e¯ → AXN+Y.
Assume the electron came from the K-shell of Rubidium and K-edge is 15.2 keV. Given that
the mass of neutral atom 33Rb is 82.9151106u, and the mass of neutral atom 4XN is
82.9141360u.
(a) Determine the values of A, Z and N.
(b) Given the name of particle Y.
(c) Calculate the disintegration energy of the decay (in MeV).
(d) Explain why K-edge should be considered in electron capture.
Express the values to 3 significant figures, if necessary.
Use the below values for this problem. Please note that the mass for H is for the entire atom (proton & electron).
Neutron: m = 1.67493x10-27 kg = 1.008665 u = 939.57 MeV/c²
.
¹H: mH = 1.67353x10-27 kg = 1.007825 u = 938.78 MeV/c²
1
1 u = 1.6605x10-27 kg = 931.5 MeV/c²
.
Consider the following decay: 239 Pu 235 U+ a. 239 Pu has a mass of 239.0521634 u, 235 U has a mass of 235.0439299 u, and a has a mass of 4.002603 u.
94
92
94
92
Determine the disintegration energy (Q-value) in MeV.
Q =
Determine the binding energy (in MeV) for 239 Pu.
94
EB =
Chapter 30 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - Prob. 3CQCh. 30 - Prob. 4CQCh. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Figure Q30.7 shows how the number of nuclei of one...Ch. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQ
Ch. 30 - The material that formed the earth was created in...Ch. 30 - Prob. 12CQCh. 30 - Prob. 13CQCh. 30 - Prob. 14CQCh. 30 - Prob. 15CQCh. 30 - Prob. 16CQCh. 30 - Prob. 17CQCh. 30 - Prob. 18CQCh. 30 - Prob. 19CQCh. 30 - Prob. 20CQCh. 30 - Prob. 21CQCh. 30 - Prob. 22CQCh. 30 - Prob. 23CQCh. 30 - Some types of MRI can produce images of resolution...Ch. 30 - Prob. 25CQCh. 30 - Prob. 26CQCh. 30 - Prob. 27CQCh. 30 - Prob. 28CQCh. 30 - Prob. 29MCQCh. 30 - Prob. 30MCQCh. 30 - Prob. 31MCQCh. 30 - Prob. 32MCQCh. 30 - Prob. 33MCQCh. 30 - Prob. 34MCQCh. 30 - Prob. 35MCQCh. 30 - Prob. 36MCQCh. 30 - Prob. 37MCQCh. 30 - Prob. 38MCQCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - a. Compute the binding energy of the reactants and...Ch. 30 - a. Compute the binding energy of the reactants and...Ch. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Prob. 59GPCh. 30 - Prob. 60GPCh. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64GPCh. 30 - Prob. 65GPCh. 30 - Prob. 66GPCh. 30 - Prob. 67GPCh. 30 - Prob. 68GPCh. 30 - Prob. 69GPCh. 30 - Prob. 70GPCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - Prob. 73GPCh. 30 - Prob. 74MSPPCh. 30 - Prob. 75MSPPCh. 30 - Prob. 76MSPPCh. 30 - What statement can be made about the masses above...Ch. 30 - Prob. 78MSPPCh. 30 - Prob. 79MSPPCh. 30 - Prob. 80MSPP
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- The purpose of this problem is to show in three ways that the binding energy at the election in a hydrogen atom is negligible compared with the masses of the proton and electron. (a) Calculate the mass equivalent in u of the 13.6eV binding energy of an electron in a hydrogen atom, and compete this with the mass of the hydrogen atom obtained from Appendix A. (b) Subtract the mass at the proton given in Table 31.2 from the mass at the hydrogen atom given in Appendix A. You will find the difference is equal to the electron’s mass to three digits, implying the binding energy is small in comparison. (c) Take the ratio of the binding energy at the electron (13.6 eV) to the energy equivalent of the electron's mass (0.511 MeV). (d) Discuss how your answers confirm the stated purpose of this problem.arrow_forward(a) If the average molecular mass of compounds in food is 50.0 g, how many molecules are mere in 1.00 kg at food? (b) How many ion pairs are created in 1.00 kg of food, if it is exposed to 1000 Sv and it takes 32.0 eV to create an ion pair? (c) Find the ratio of ion pairs to molecules. (d) If these ion pairs recombine into a distribution of 2000 new compounds, how many parts per billion is each?arrow_forwardThis problem demonstrates that the binding energy of the electron in the ground state of a hydrogen atom is much smaller than the rest mass energies of the proton and electron. Calculate the mass equivalent in u of the 13.6-eV binding energy of an electron in a hydrogen atom, and compare this with the known mass of the hydrogen atom. Subtract the known mass of the proton from the known mass of the hydrogen atom. Take the ratio of the binding energy of the electron (13.6 eV) to the energy equivalent of the electron’s mass (0.511 MeV). Discuss how your answers confirm the stated purpose of this problem.arrow_forward
- (a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardThe purpose of producing 99Mo (usually by neutron activation of natural molybdenum, as in the preceding problem) is to produce 99mTc. Using the rules, verily that the decay of 99Mo produces 99mTc. (Most 99mTc nuclei produced in this decay are left in a metastable excited state denoted 99mTc.)arrow_forwardIntegrated Concepts: (a) What temperature gas would have atoms moving fast enough to bring two 3He nuclei into contact? Note that, because both are moving, the average kinetic energy only needs to be half the electric potential energy of these doubly charged nuclei when just in contact with one another. (b) Does this high temperature imply practical difficulties for doing this in controlled fusion?arrow_forward
- The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forwardU-238 (Z=92) decays by β- to a daughter isotope, the atomic mass (A) and atomic number (Z) of the daughter isotope are _________ . Select one: a. A = 234; Z = 88 b. A = 238; Z = 93 c. A = 238; Z = 91 d. A = 238; Z = 92arrow_forward
- Use the below values for this problem. Please note that the mass for H is for the entire atom (proton & electron). Neutron: m,= 1.67493x1027 kg= 1.008665 u = 939.57 MeVIC H: my = 1.67353x10 27 kg = 1.007825 u = 938.78 MeVic 1u= 1.6605x10-27 kg = 931.5 MeVic? Consider the following decay: 211 At 207 Bi + a. 211 At has a mass of 210.9874963 u, 207 Bi has a mass of 206.981593 u, and a has a mass of 4.002603 u. 85 83 85 83 Determine the disintegration energy (Q-value) in MeV. Determine the binding energy (in MeV) for 211 At. 85 EB =arrow_forwardB3. In the alpha decay of uranium 232U → 228Th + He, how much kinetic energy (in MeV) will 90 the thorium atom have. Given that Q = 6.46 MeV and the atomic mass of 220Th is 228.028731u. Express the values to 3 significant figures, if necessary.arrow_forwardQ4. a) Alpha decay is a two body final state process, in which a nucleus 4 AXz →(A−4) Y(z−2) +¹ He₂ + Qa If the masses of the atoms of the parent and the daughter nuclei are (roughly) Au, and (A — 4)u and that of the a particle is 4u, determine the relation between the kinetic energy To of the a particle and Qa. b) Explain why in case of even A nuclei, it is possible to have two most stable isobars, where as for odd A nuclei, there can be only one most stable isobar. c) Construct the mass parabolas for A = 101, and identify the most stable isobars. d) Construct the mass parabolas for A = 106, and identify the two most stable isobars.arrow_forward
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