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)
- What is the binding energy per nucleon of the tritium (H3) nucleus (1u=931.5 MeV; Tritium atomic mass=3.016049) ?arrow_forwardGiven the atomic masses below, calculate the exact nuclear binding energy (in MeV to 4 SD) of a N-15 atom. Neutron = 1.008665 u Hydrogen atom = 1.007825 u Proton = 1.007276 u Nitrogen-15 atom = 15.000109 u A. 97.18 MeV B. 115.5 MeV C. 94.06MeV D. 92.25 MeV E. 108.3 MeVarrow_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
- Question 1 Calculate the binding energy for 0.064 mole of He (4.00150 amu) in kJ. Question 2 Calculate the binding energy for 0.022 mole of 10Be (10.01019 amu) in kJ. Question 3 Calculate the binding energy for 0.029 mole of 12C (11.99671 amu) in kJ.arrow_forward-14 (a) Find the speed an alpha particle requires to come within 3.4 x 10 m of an iron nucleus. 19.35*10**6 X Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) Find the energy of the alpha particle in MeV. 7.79 Your response differs from the correct answer by more than 100%. MeVarrow_forwardGiven the atomic masses below, calculate the exact nuclear binding energy (in MeV to 4 SD) of a N-15 atom. Neutron = 1.008665 u Hydrogen atom = 1.007825 u Proton = 1.007276 u Nitrogen-15 atom = 15.000109 uarrow_forward
- The mass of the atom 9F is 18.99840 amu. Calculate the binding energy per atom. Answer Units: [x10-11 J]arrow_forwardThe binding energy of one neutron in 20Ca is: [Hint: ay = 15.85, as = 18.34, ac = 0.71, aa = 23.21, ap 12 (MeV)]arrow_forward(Radiocarbon dating) Carbon taken from a purported relic of the time of Christ contained 4.6 x 1010 atoms of 14C per gram. Carbon extracted from a present-day specimen of the same substance contained 5.0 x 1010 atoms of 14C per gram. Compute the approximate age of the relic. What is your opinion as to its authenticity?arrow_forward
- What is the binding energy required for the element Beryllium, which has an atomic mass of 9.01 u? [Use the mass of the electron as 0.00054858u, the mass of the proton as 1.007276u and the mass of the neutron as 1.008665u.] uarrow_forwardHow 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_forwardWhat would the BEN in MeV be for a nucleus with 100 protons, 149 neutrons and an atomic mass of 227.4 u? Round your answer to 1 decimal place.arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning