Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 46, Problem 17SP
To determine
The nuclear binding energy of deuterium
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The radioactive isotope 12 7N undergoes b+ decay. The energy released in the decay of one nucleus is 16.316 MeV. What is the mass, in amu, of a neutral 12 7N atom? Give your answer to eight significant figures.
The nucleus of a fictitious element consists of 15 protons and 16 neutrons. The mass of the respective atom is
31.021 u. Calculate the nuclear binding energy per nucleon, in MeV. The mass of the hydrogen atom is
1.007825 u, the mass of the neutron is 1.008665 u.
The isotope cobalt-60 has a nuclear mass of 59.933820 u. Calculate the mass defect of cobalt-60 using the following information:
Mass of Proton: 1.007825 u
Mass of Neutron: 1.008665 u
1 u = 931.5 MeV
Chapter 46 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (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_forwardCopper-63 has a nucleus mass of 62.92959 u. Its atomic number is 29, and its atomic mass number is 63. The mass of a proton is 1.007276 u and the mass of a neutron is 1.008664 u What is the total binding energy of the nucleus? Express your answer in MeV and keep 4 significant digits.arrow_forwardWhat is the binding energy per nucleon of the tritium (H3) nucleus (1u=931.5 MeV; Tritium atomic mass=3.016049) ?arrow_forward
- A nucleus of copper has an atomic mass of 64.93 u (with Z=29 and A=65). Considering that the mass of a neutron and a proton are respectively 1.00866 u and 1.00728 u. What is the total binding energy of that nucleus? (Expressed in MeV)arrow_forwardA certain radioactive material decays exponentially. The percent, P, of the material left after t years is given by P(t) = 100(1.2). a. Determine the half-life of the substance. b. How fast is the substance decaying at the point where the half-life is reached? The substance is decaying at a rate of about -3.8% per year at the time 9.12 years where the half-life is reached The substance is decaying at a rate of about -9.12% per year at the time 6.8 years where the half-life is reached The substance is decaying at a rate of about -9.12% per year at the time 3.8 years where the half-life is reached | None of the abovearrow_forwardGold-197 has an atomic number of 79 and an atomic mass number of 197. The mass of a gold nucleus is 196.96657 u, whereas the mass of a proton is 1.00727u and the mass of a neutron is 1.00866u. What is the binding energy of a gold nucleus, expressed in MeV? (Use c=3E8 m/s for the speed of light and beware of units)arrow_forward
- On absorption of a single neutron, plutonium Pu-239 can undergo fission into xenon Xe-134 plus zirconium Zr-103 plus three neutrons. The masses of these nuclei are, mpu-239 = 239.052 amu, mxe-134 = 133.905 amu, and mzr-103 = 102.927 amu. Calculate the energy given off in this nuclear reaction. Back Alt+Left arrowarrow_forwardThe binding energy for a nucleus containing Z protons and N neutrons is defined as c²[ZM + Nm, - M] where M is the mass of the neutral atom containing the nucleus, the quantity in the parentheses is the mass defect, and c? = 931.5 MeV/u.The binding energy of a nuclide can also be written as E, = Am x 931.5 MeV/u where Am is the mass defect. The Figure below show the mass for neutral atom and the nucleons of a helium atom. SHe Binding energy Mass = 4.0026 u Mass = 4.0330 u Calculate the mass defect Am of a helium atomarrow_forwardUranium (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)arrow_forward
- 198Au decays in a first-order process, emitting a β particle (electron). The half-life of this isotope is 2.7 days. You begin with a 5.6-mg sample of the isotope. Calculate how much gold-198 remains after 3.5 daysarrow_forwardWhen U-232 undergoes alpha decay to Th-228, a mass lost is sustained. 1. Find the mass defect for this process in amu and kg. 2. The mass lost during the decay is converted to kinetic energy. Use Einstein equation to calculate the kinetic energy in joules and in Mega- electron volts (MeV). The exact mass of U-232 is 232.0372 amu. The exact mass of Th-228 is 228.0287 amu. The exact mass of He is 4.0026 amu. 1 amu= 1.6606 x 10-27 kg. 1 MeV = 1.602 x 10-13 J. 232 92 U -----> 228 90 Th + 4 2 He i have a attached a photo of the question.arrow_forwardWhile Uranium-235 is commonly used in nuclear power plants, the isotope U-238 is more commonly found in nature. a) How many neutrons are in the nuclei of U-235? b) How many neutrons are in the nuclei of U-238? Given the mass of 1 proton is 1.007825 amu, 1 neutron is 1.008665 amu and the binding energy of 1 amu is 931.49 MeV(1.MeV=1x10^6 eV). c) If the mass of U-235 is 235.0439299 amu, what is the mass defect in amu? d) What is the binding energy in MeV?arrow_forward
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