**Problem Set on Lead-208****a) Ionic Radius and Nuclear Volume of Lead**- The ionic radius of lead is given as 0.180 nm. Determine what fraction of this volume is occupied by the nucleus for lead-208.**b) Binding Energy for Lead**- Calculate the binding energy per nucleon for lead-208.**Instructions:**To solve these questions, you may need to use formulas related to atomic and nuclear physics, such as volume calculations for spheres and equations for binding energy. Ensure you understand the concepts of atomic size and the energy principles related to nuclear stability.

Answered: Image /qna-images/answer/aaa6f47d-b846-4d91-aba6-9aa067504f3b.jpg

Answered: a) The ionic radius of lead is 0.180…

a) The ionic radius of lead is 0.180 nm. What fraction of this volume does the nucleus take up for lead-208? b) What is the binding energy per nucleon for lead- 208?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Which of the following is a measure of the relative stability of the nucleus? A. binding energy B.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: You are an archaeologist, and send some leather clothing found at a burial site to be radiocarbon…

A: The general formula for the activity as a function of time t is given by, Here, A, Ao, λ and t…

Q: You have a 5.2 mol pure sample of an unknown material. After 1.2 h, you discover that 56% has…

A: Given that The initial number of the moles of the sample is No = 5.2mol Since…

Q: A sample of radioactive material is obtained from a very old rock. The activity of the rock over a…

A: Given that: The equation of the activity of a radioactivity substance is A=A0e-λt The slope of the…

Q: In the fall of 2002, a group of scientists at Los Alamos National Laboratory determined that the…

A: Given data The critical mass of the neptunium-237 is m = 60 kg The density of the element is ρ =…

Q: If the Q-value of beta minus decay is 2.820 MeV, what is the approximate average beta energy? A.…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the binding energy per nucleon of the zinc-64 nucleus. (c²-931.49 MeV/u; atomic mass of Zn…

A: Given information: The atomic mass of the Zn nucleus (M) = 63.929 144 u The mass of one proton "H11"…

Q: The mass of the 16O nuclide is 15.994915 u. What is the total binding energy for this nucleus

A: Given Atomic number is Z=8 Mass number is A=16 Mass of the 16O nuclide is M=15.994915 u

Q: 3065Zn decays via ββ+ and EC (electron capture). Estimate the half-life of the fully ionized Zinc…

A: Zn-65 disintegrates by an electron capture to the 115keV excited level and by electron capture and…

Q: Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to…

A: Given, The half-life, t1/2=1.405×1010 year The mass of the thorium, m=230×10-3 g The molecular mass,…

Q: 2. Find the average binding energy per nueleon for Bromine, Br (atomic mass= 78.918336 u). a) 8.69…

Q: A typical person of mass 65 kg contains 0.35% potassium, by weight. Of the potassium, 0.012% is 40K,…

A: Given: The mass of person is m=65 kg. The half life of nucleus is t1/2=1.28×109 y. The activity due…

Q: There are three naturally occurring stable isotopes of magnesium: 24Mg, 25Mg, and 26Mg, which have…

A: Since you have have asked multiple question, we will solve the first question for you. If you want…

Q: Why binding energy per nucleon is approximately constant. Give sufficient qualitative and…

A: Binding energy is the energy required to remove a nucleon from the nucleus of an atom. A nucleon is…

Q: Calculate the radioactivity of 0.5mg of cobalt 56 in units of curie? Its radioactivity is 50 days,…

A: Given data: The sample amount of cobalt is m=0.5 mg=0.5×10-3 g The atomic mass of cobalt is A= 56 g…

Q: Tritium has a half-life of 12.5 y against beta decay. Determine fraction of a sample which will…

A: (1) We have given Th=12.5 years Here Th= half life We know that NNo=12tTh NNo=122512.5=122=14 N=No/4…

Q: What is the binding energy per nucleon of 24 Pb? Give your answer in MeV

A: Mass defect of Pb is

Q: The isotope 208Tl undergoes β decay with a half-life of 3.1 min. How many minutes will it take for…

Q: 75% of a quantity of U-232 remains after 30 years. What is the half-life?

Q: A drug tagged with Tc (half-life= 6.05 h) is prepared for a patient. If the original activity of the…

A: Given:-Original activity (Ao)=1.1*104 Bq.Time (t) = 1.8 hoursHalf life = 6.05 hFind Activity…

Q: Calculate the binding energy per nucleon Eb/A of helium nuclide.

A: BINDING ENERGY PER NUCLEON OF HELIUM NUCLIDE: Binding energy: Eb=c2ZMH+Nmn-MZA .... 1 c2=931.5…

Q: a sample containing l-131 has an activity of 6.4x10^8 Bq.h how many days later will the sample have…

Q: A semiempirical formula for the binding energy of a nucleus of atomic number Z and mass number A is…

Q: Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to…

A: Hlf-life time of radioactive element is Mass of element is Note:Molar mass of is Avogadro's number…

Q: Please make sure you are sufficiently precise in your answers that the BE per nucleon can be…

A: given atomic mass = 67.9248476 u A = 68

Q: Explain why 231-Th-90 is likely to be a beta minus emitter

A: Why 231-Th-90 is likely to be a beta minus emitter.

Q: Cadmium-107 has a half life of 6.52 hours. If you start off with sample which has an activity of 1.0…

A: The reactivity of the sample after time t is given by:

Q: A scientist is studying a 2.234 g sample of thorium-229 (t1/2 = 7340 yrs) in a laboratory. (a)…

A: The mass of the thorium is 2.234 g.The half-life time of the thorium is 7340 years.

Q: What is the relationship between the binding energy and the mass defect* 1 poi of an atomic nucleus?…

A: The mass defect of a nucleus is defined as the difference between the sum of masses of all the…

Q: A radioactive equilibrium between 99mMo/99m Tc generator and its daughter is a transient…

Q: What is the mass of 25.0 mCi of technetium-99m (Tc99m)Tc99m , which has a half-life of 6.00 h?

Q: A reaction rate is the number of reactions per time unit in a medium irradiated by a neutron flux…

Q: (a) A wooden artifact is found in an ancient tomb. Its carbon-14 ( 14 c) activity is measured to be…

A: Known quantities:- Half life of carbon-14 (T1/2)= 5730 years Age of artifact is given by formula…

Q: Explain what is meant by the binding energy of a nucleus. Using the following data calculate the…

A: Given data: Mass of proton is, mp = 1.00720 u Mass of neutron is, mn= 1.00867 u The atomic mass of…

Q: a) Derive an expression for the most stable element along a given isobar (an isobar is all nuclides…

A: a) The mass defect is ∆m=B.Ec2 The Weizsacker mass formula or semi-empirical binding energy tells…

Q: The half-life of 231Pa is 3.25 × 104 years. How much of an initial 10.41 µg sample remains after…

A: Given that half life of 231Pa is 3.25* 10^4 year and initial amount of sample is 10.41microgram.…

Q: You are training for an upcoming Physics Olympics competition. Your coach gives you the following…

A: In the question it is given that the mass of the indium( 115In) is m=94.1 gInitial activity of the…

Q: Iodine-131 is radioactive and has a half life of 8.04 days. Calculate the activity of a 7.4 mg…

A: Given value--- mass = 7.4 mg. half life time = 8.04 days. We have to find--- Calculate the…

Q: A sample containing l-131 has an activity of 6.40 x 10° Bq. How many days later will the sample have…

Q: A single atom of cesium-133 has a mass, in atomic mass units, of 132.90545193 u. Determine a) the…

Q: Estimate the total binding energy for Cu, using the figure. Express your answer to two significant…

A: Using the binding curve givenfor Cu2963binding energy/nucleon≈8.7 MeV

Q: The half-life of 23$U, an alpha emitter, is 7.1 x 10° yr. Calculate the number of alpha particles…

Q: Experimental values are obtained from actual experiments. The model represents a theoretical…

A: We need to find the Binding energy per nucleon (B/A) for the sodium atom from the given model.…

Concept explainers

Nuclear Reactions

Nuclear reactions are processes in which the fundamental characteristics of a nucleus changes. They change into a completely different nucleus. These processes occur naturally in an unstable nucleus. Bombarding an energetic particle can induce nuclear reactions. In this article, both the naturally occurring nuclear reactions are termed as radioactive decay and the induced nuclear reactions are further categorized as nuclear fission and nuclear fusion.

Question

**Problem Set on Lead-208**

**a) Ionic Radius and Nuclear Volume of Lead**

- The ionic radius of lead is given as 0.180 nm. Determine what fraction of this volume is occupied by the nucleus for lead-208.

**b) Binding Energy for Lead**

- Calculate the binding energy per nucleon for lead-208.

**Instructions:**
To solve these questions, you may need to use formulas related to atomic and nuclear physics, such as volume calculations for spheres and equations for binding energy. Ensure you understand the concepts of atomic size and the energy principles related to nuclear stability.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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

iodine 131 has a half life of 8.04 days if you start with a radioactivr I 131 sample having an activity equal to 40 microci after how long is the activity going to be 4cmicroci
(a) At an initial time, a radioactive sample has an activity of 8.77x104 Bq. After 3.88 hours the activity is 5.35x104 Bq. (A) What is the half-life of the isotope? (B) What is the activity after an additional 3.88 hours? (A) (in s) OA: 6.426x103 OB: 9.317x103 oC: 1.351x104 OD: 1.959x104 OE: 2.840x104 OF: 4.119x104 OG: 5.972x104 (B) (in Bq) H: 8.660x104 OA: 1.387x104 OB: 1.845x104 OC: 2.454x104 OD: 3.264x104 OE: 4.341x104 OF: 5.773x104 OG: 7.678x104 OH: 1.021x105
How many nuclear spin levels exist for a 33S nucleus when it is exposed to an applied, external magnetic field?
Please do it correctly!
Note in Table that the half-lives of two abundant isotopes of tellurium are more than 1021 years. (a) What is the decay rate per unit mass of 128Te, which decays by emitting two β-, in units of s-1 . kg-1? (b) How much mass of a natural sample of tellurium would it take to measure a decay rate of 10 β-/s for 128Te?
Determine the Mass Defect for Iron 56. How much binding energy is needed to hold this nucleus together. Based on this value, what is your calculated binding energy per nucleon?
What is the half -life of potassium-40 if 1.70×10^19 nuclei have an activity of 300 Bq
In 1992, Swiss police arrested two men who were attempting to smuggle osmium out of Eastern Europe for a clandestine sale. However, by error, the smugglers had picked up 137Cs. Reportedly, each smuggler was carrying a 1.0 g sample of 137Cs in a pocket! In (a) bequerels and (b) curies, what was the activity of each sample? The isotope 137Cs has a half-life of 30.2 y. (The activities of radioisotopes commonly used in hospitals range up to a few millicuries.)
24 Mg and 12 63 Cu. (For the atomic masses, see this table. Enter your answers to at least two decimal places.) Find the average binding energy per nucleon of 29 (a) 24 Mg 12 8.26 MeV/nucleon (b) 63 Cu 29 8.3 Your response is within 10% of the correct value, This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all interm
The amount of radioactive 40K in a 70kg person is approximately 5000Bq. A) what is the number (N) of radioactive 40K nuclei in the body? The half life of 40K is 1.25x109 years. B)What is the amount of natural potassium (in grams) in the body? The abundance of 40K is 0.012% of the natural potassium 39K