Concept explainers
The binding energy of carbon-12
Answer to Problem 14SP
Solution:
Explanation of Solution
Given data:
The mass of the carbon atom is
The atomic mass number of the carbon atom is
Formula used:
The expression for the atomic mass number of an atom is written as
Here,
The expression for the binding energy of the nucleus is written as
Here,
Explanation:
Recall the expression for the atomic mass number of an atom:
Rearrange the expression for
Substitute
This is the number of neutrons present in carbon-12.
Write the expression for the binding energy of carbon-12:
Here,
Substitute
Conclusion:
Hence, the binding energy of carbon-12 is
Want to see more full solutions like this?
Chapter 46 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- 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 amuarrow_forwardShow that the total energy released in the proton-protoncycle is 26.7 MeV, considering the overall effect in1H + 1H → 2H + e+ + ve , 1H + 2H → 3 He + γ , and3 He + 3He → 4 He + 1H + 1H and being certain to include the annihilation energy.arrow_forwardFind the energy released in the alpha decay below: 21484Po 21082Pb + 42He You will find the following mass values useful. M(21484Po) = 214.023981 u M(21082Pb) = 210.014340 u M(42He) = 4.002602 u answer in MeVarrow_forward
- Which of the following isotopes would be least likely to undergo positron emission? A. 118Sn D. 96Ru B. 124Xe E. 106Cd C. 120Tearrow_forwardWhen Fermium (253.085174u) decays into Californium (249.074844u), it emits an alpha particle (4.002602u). If 1 u = 931.5 MeV, what is the energy released in the decay? MeVarrow_forwardThe half-life of 14C is t1/2 5 5730 years, and 1.00 g of modern wood charcoal has an activity of 0.255 Bq.(a) Calculate the number of 14C atoms per gram of carbon in modern wood charcoal.(b) Calculate the fraction of carbon atoms in the biosphere that are 14C.arrow_forward
- If our Sun (mass = 1.99××103030 kg, radius = 6.96××1088 m) were to collapse into a neutron star (an object composed of tightly packed neutrons with roughly the same density as neutrons within a nucleus, ρnucleusρnucleus = 2.3××101717 kg/m33), what would the new radius of our “neutron-sun” be?arrow_forwardA standard nuclear power plant generates 3.0 GWGW of thermal power from the fission of 235U235U. Experiments show that, on average, 0.19 uu of mass is lost in each fission of a 235U235U nucleus. How many kilograms of 235U235U undergo fission each year in this power plant? Express your answer in kilograms per year.arrow_forwardThe fission of the nucleus of 235U releases approximately 200 MeV. How much energy (in kilowatt-hours and megawatt-days) is released when 1 g of 235U undergoes fission? Fast.arrow_forward
- Compute the binding energy of the 7Li nucleus, whose experimentally determine mass is 7.016004 amuarrow_forwardU-235 releases an average of 2.5 neutrons per fission, while Pu-239 releases an average of 2.7 neutrons per fission. Which of these elements might you therefore expect to have the smaller critical mass?arrow_forwardIn a fission process in which 235U235U is struck by a neutron and undergoes fission to produce144Ba, 89Kr, and three neutrons. The measured masses of these isotopes are 235.043930 u (235U), 143.922953 u (144Ba), 88.917630 u (89Kr), and 1.0086649 u (neutron). A) Calculate the energy (in MeV) released by each fission reaction. Express your answer in megaelectronvolts. B) Calculate the energy released per gram of 235U, in MeV/g. Express your answer in megaelectronvolts per gram.arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning