College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
![**Title: Understanding Mass Defect Calculation of Cobalt-60 Isotope**
**Objective:**
Calculate the mass defect of the isotope cobalt-60 using the given information.
**Given Information:**
- The nuclear mass of cobalt-60: 59.933820 u
- Mass of proton: 1.007825 u
- Mass of neutron: 1.008665 u
- Conversion factor: 1 u = 931.5 MeV
**Procedure:**
1. **Calculate the Theoretical Mass:**
- Cobalt-60 contains 27 protons and 33 neutrons.
- Calculate the total mass of the protons:
\[
\text{Mass of protons} = 27 \times 1.007825 \text{ u}
\]
\[
\text{Mass of protons} = 27.210275 \text{ u}
\]
- Calculate the total mass of the neutrons:
\[
\text{Mass of neutrons} = 33 \times 1.008665 \text{ u}
\]
\[
\text{Mass of neutrons} = 33.285945 \text{ u}
\]
- Sum the masses to get the total theoretical mass:
\[
\text{Theoretical mass} = 27.210275 \text{ u} + 33.285945 \text{ u}
\]
\[
\text{Theoretical mass} = 60.496220 \text{ u}
\]
2. **Calculate the Mass Defect:**
- Subtract the given nuclear mass of cobalt-60 from the theoretical mass:
\[
\text{Mass defect} = \text{Theoretical mass} - \text{Nuclear mass}
\]
\[
\text{Mass defect} = 60.496220 \text{ u} - 59.933820 \text{ u}
\]
\[
\text{Mass defect} = 0.562400 \text{ u}
\]
3. **Convert Mass Defect to Energy (MeV):**
- Use the conversion factor to convert mass defect to energy:
\[
\text{Energy} = \text{Mass defect} \times 931.5 \text{](https://content.bartleby.com/qna-images/question/13edd89d-bc6e-4f0f-b4f9-b3f058b9bae6/0e72466d-4a11-4e0a-912a-6e547351af60/otruf1_processed.png)
Transcribed Image Text:**Title: Understanding Mass Defect Calculation of Cobalt-60 Isotope**
**Objective:**
Calculate the mass defect of the isotope cobalt-60 using the given information.
**Given Information:**
- The nuclear mass of cobalt-60: 59.933820 u
- Mass of proton: 1.007825 u
- Mass of neutron: 1.008665 u
- Conversion factor: 1 u = 931.5 MeV
**Procedure:**
1. **Calculate the Theoretical Mass:**
- Cobalt-60 contains 27 protons and 33 neutrons.
- Calculate the total mass of the protons:
\[
\text{Mass of protons} = 27 \times 1.007825 \text{ u}
\]
\[
\text{Mass of protons} = 27.210275 \text{ u}
\]
- Calculate the total mass of the neutrons:
\[
\text{Mass of neutrons} = 33 \times 1.008665 \text{ u}
\]
\[
\text{Mass of neutrons} = 33.285945 \text{ u}
\]
- Sum the masses to get the total theoretical mass:
\[
\text{Theoretical mass} = 27.210275 \text{ u} + 33.285945 \text{ u}
\]
\[
\text{Theoretical mass} = 60.496220 \text{ u}
\]
2. **Calculate the Mass Defect:**
- Subtract the given nuclear mass of cobalt-60 from the theoretical mass:
\[
\text{Mass defect} = \text{Theoretical mass} - \text{Nuclear mass}
\]
\[
\text{Mass defect} = 60.496220 \text{ u} - 59.933820 \text{ u}
\]
\[
\text{Mass defect} = 0.562400 \text{ u}
\]
3. **Convert Mass Defect to Energy (MeV):**
- Use the conversion factor to convert mass defect to energy:
\[
\text{Energy} = \text{Mass defect} \times 931.5 \text{
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 2 images
Knowledge Booster
Learn more about
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
- -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_forwardThe mass defect for potassium-40 is: -___x10-28kg. (Give your answer with 3 sig digs and do not include units) Use mass of proton = 1.007276 u mass of neutron = 1.008665 u actual mass = 39.9687 uarrow_forwardRadioactive element AA can decay to either element BB or element CC.The decay depends on chance, but the ratio of the resulting number of BB atoms to the resulting number of CC atoms is always 2/1.The decay has a half-life of 8.00 days.We start with a sample of pure AA. How long must we wait until the number of CC atoms is 1.50 times the number of AAatoms?arrow_forward
- The number of radioactive nuclei present at the start of an experiment is 5.38 × 10¹5. The number present twenty days later is 5.02 × 10¹4. What is the half-life (in days) of the nuclei?arrow_forwardA 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_forwardin the stable isotope of Potassium 39K there are 19 electrons, 19 protons and 20 neutrons. The mass of the neutral atom is 38.96371 u. Calculate: Total mass / u Mass defect / u Binding energy / J Binding energy / MeV Mass of the proton = 1.007276 u Mass of the neutron = 1.008665 uarrow_forward
- Gold-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_forwardA 5 g sample of a radioactive element takes 102 days to reduce into 3 g. Calculate the half-life and identify the element.arrow_forward1.a. A 14-gram ovarian tumor is treated using a sodium phosphate solution in which the phosphorus atoms are the radioative phosphorus-32 isotope with a half-life of 14.3 days and which decays via beta emision (RBE=1) with an energy of 1.71 MeV. Half of the sodium phosphate is absorbed by the tumor and deposits 9.0 J energy into it. The other half of the solution is absorbed throughout the patient's tissues, also depositing 9.0 J of energy into the 50.0 kg of body tissues. i. What is the dose ( in gray and rem) that the tumor receives? ii. What is the dose ( in milligray and rem) that the rest of the tissues receives? b. Photoelectrons from a material with a binding energy of 2.71 eV are ejected by 420-nm photons. Once ejected, how long does it take these electrons to travel 2.50cm to a detected device? c.The heating element in an electric kettle is rated as 2.0kW. If the waterin the kettle is at 1000.0 oC, what volume of water will be converted in to steam in…arrow_forward
- What is the mass of 25.0 mCi of technetium-99m (Tc99m)Tc99m , which has a half-life of 6.00 h?arrow_forwardPlease do it quickly!arrow_forwardScientists can determine the age of ancient objects by the method of radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates ¹4C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 75% as much 14C radioactivity as does plant material on earth today. Estimate the age of the parchment. (Round your answer to the nearest whole number.) yr Need Help? Watch It Additional Materials THERarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON