The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 90% of the lead to decay?

The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 90% of the lead to decay?

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter4: Temperature Effects On Atom Arrangements And Atom Motion

Section: Chapter Questions

Problem 4.14P

See similar textbooks

Related questions

Q: In 100 yrs, 100mg of radium decomposes to 95mg. How many mg will be left after 200 yrs?

A: Let A0 be the initial amount of radium and A be the amount of radium left after t years of…

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose it is found that…

Q: -_ is a carbon- based liquid non-renewable source of energy which is one of the most used today. O…

Q: A tank contains Carbon tetrachloride which has a mass of 636 g and a total volume of 0.0011 m^3.…

A: We knowWeight=γliqVolumeWeight=mg=636g10009.81=6.239Nso,V=0.0011m3

Q: Example 9.36. Design a Zeolite-Softener for an industrial concern, using the following data : (i)…

Q: What particle is produced during the following decay processes: (a) sodium-24 decays to…

A: Given:- a) Sodium - 24 days b) Mercury - 188 days c) Iodine - 122 decays d) Plutonium - 242 decays…

Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

Q: 3. A certain substance has a decay rate proportional to amount present. It is observe that it has an…

Q: The concentration of a certain chemical in a sealed tank follows the expression C(t) = Co exp…

Q: 3. A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a…

Q: (a) What is the physical significance of energy of activation ? Explain with diagram.(b) In general,…

A: Since, the question number to be solved is not specified, solution for question b is as follows:…

Q: 13. Radium decompose in air at the rate proportional to the amount present. If initially there 20…

A: To find the amount remaining after 900 years

Q: is the non-renewable source of energy formed from decaying organism from geological past. O a.…

A: Fossil fuels are the non-renewable energy source which are formed from decaying organism from…

Q: 6. Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

A: To determine: amount of Radium left after given time half-life of radium Given, Initial amount…

Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

Q: The minimum dissolved oxygen which should be present in water in order to save aquatic life is: * О…

A: The minimum dissolved oxygen which should be present in water in order to save aquatic life is: 5ppm

Q: Fill in the blanks:(a) The symbol and atomic number of the heaviest alkaline earthmetal are_____ and…

A: Given: (a) The symbol and atomic number of the heaviest alkaline earthmetal are_____ and ____. (b)…

Q: 1. What is the specific gravity of kerosene, which has a specific weight of 7.853103 N/m³?

A: Given data in question Fluid as kerosene Specific weight of kerosene To find out Specific gravity…

Q: Thallium-201 is used medically to diagnose heart problems. What is the half-life of thallium-201 if…

Q: The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at time…

Q: Initially, there is 50 mg of a certain radioactive material present and after two hours, it is…

A: The radioactive material decays at a rate proportional to the amount…

Q: In 100 yrs, 100mg of radium decomposes to 96mg. How many mg will be left after 217 yrs?

A: Solution: Given In 100 years,100mg of radium decomposes to 96mg 217years,…

Q: What is the specific gravity of kerosene, which has a specific weight of 7.853103 N/m?

Q: adioactive radon-222, found in many homes, is a potential health hazard. The half-life of radon-222…

Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the…

A: Introduction- The Exponential growth is the process through which quantity rises over time. It…

Q: n 59 yrs, 100mg of radium decomposes to 96mg. How many mg will be left after 200 yrs?

Q: Henry's law constant for transferring 02 from air into water, at room temperature, mmol - is 1.3…

A: Given data: Henry's law constant at room temperature, k = 1.3 m-mollt-atm Partial pressure, P = 0.21…

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A: Solution given data : Half of the radium decomposed in 1000 years . Percentage lost in 293 years = ?…

Q: How long would it take a current of 100 A to deposit 10.0 g of Fe from FeCl 2

Q: Calculate the wavelength of light emitted when each of the following transitions occur in the…

A: Electromagnetic radiation consists of electromagnetic waves, synchronized electric and magnetic…

Q: We have an initial amount of H3N2Cl4 of 72 milligrams, and a half-life of 60 days. Find the decay…

A: With the help of the exponential curve growth and decay graph, we can analyze the material decay at…

Q: Propane (C3H8) reacts with oxygen in the air to produce carbon dioxide and water. In a particular…

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose that it is found…

A: To determine the percent of radium decomposed after 76 years. Given, 1.1% of the initial amount of…

Q: The half-life of lodine-131 (I-131) is 8 days. If 294 grams of I-131 were released to the…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

Q: The half-life of a radioactive substance is defined to be the amount of time it takes for the…

Q: A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

Q: Methanol (CH3OH) can be degraded as shown in the reaction below. Answer the following questions if…

Q: 1. The half-life of a radioactive substance is 2 days. Find the time required for a given amount of…

Q: 1. Give the number of protons, the number of neutrons, and the neutron-to-proton ratio for each…

A: Given Fe-57Fe2657atomic number = 26Protons = electrons = 26mass number = 57Protons + neutrons =…

Q: Differential Equations with Modeling Applications Archaeologists used pieces of burned wood, or…

Q: A radioactive material decays at a rate proportional to its amount. If the naterial has a Lalf-life…

A: Half-life is generally the time it takes for the number of radioactive materials to reduce to half…

Q: 10. For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the…

Q: 2. A tree contains a known percentage po of a radioactive substance with half-1 tree dies the…

Q: The 1986 disaster in the former Soviet Union at the Chernobyl nuclear power plant explosion sent…

Concept explainers

Structure of materials

The word ‘structure’ means the thing that is built or constructed from combining the different interrelated parts on a definite location on the ground surface. The structure should be able to possess sufficient rigidity against the external loads that are applied to it.

Question

The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t and has
a half-life of 3.3 hours. If 1 gram of this isotope is present initially, how long will it take for 90% of the lead to
decay?
Select the correct response:
12.32 hours
10.96 hours
none of the choices
8.92 hours

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 by step

Solved in 2 steps with 1 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Initially 100 milligrams of a radioactive substance were present. After 6 hours the mass had decreased by 3%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. Select the correct response: 33.2 mg none of the choices 92.6 mg 88.5 mg
Thallium-201 is used medically to diagnose heart problems. What is the half-life of thallium-201 if 148 hours are required for the activity of a sample of thallium-201 to fall to 24.6 percent of its original value?
A hazardous material was found to decay at a rate proportional to the amount present. Initially, there were 50 mg of this radioactive material that was present. After two hours, it has lost 10% of its original amount. Find the mass of the material after four hours. A) 5mg B) 40.5mg C) 45mg D) 4.5mg
Initially 100 mg of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of decay is proportional to the amount of substance present at time t, determine the half-life of the substance.
In 100 yrs, 100mg of radium decomposes to 95mg. How many mg will be left after 200 yrs?
3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 mg of the material present and after 2 hours it is observed that the material lost 20% of its original mass, a) find the mass of the material after 5 minutes, and b) the time at which the material has decayed to one-half of its initial mass.
A dead body was found within a closed room of a house where the temperature was a constant of 70 degrees Fahrenheit. At the time of discovery, the core temperature of the body was determined to be 85 degrees Fahrenheit. One hour later, a second measurement showed that the core temperature of the body was 80 degrees Fahrenheit. Assume that the time of death corresponds to t = 0 and that the core temperature at that time was 98.6 degrees Fahrenheit. Determine how many hours elapsed before the body was found.
An elementary particle produced in a laboratory experiment travels 0.319 mm through the lab at a relative speed of 0.953c before it decays (becomes another particle). (a) What is the proper lifetime of the particle? (b) What is the distance the lab travels as measured from the particle's rest frame? (a) Number i Units (b) Number i Units
The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at time tand has a half-life of 3.3 hours. If 1 gram of lead is present initially, how long will it take for 90% of the lead to decay?
loss 39. Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to 80% Silver alloy to obtain a 500g of a 88% Silver alloy? A. 260 B. 280 C. 300 D. 320 S
You are designing a reactor that uses chlorine in a plug flow reactor or a completely stirred tank reactor to destroy pathogens in water. A minimum contact time of 30 min is required to reduce the pathogen concentration from 100 pathogens/L to below 1 pathogen/L through a first-order decay process. You plan on treating water at a rate of 1,000 gal/min. (a) What is the first-order decay rate constant? (b) What is the minimum size (in gallons) of the reactor required for a plug flow reactor? (c) What size (in gallons) of CSTR would be required to reach the same outlet concentration?
1.) Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of radium decomposes to 96.0 mg. How many mg will it be left after 100 years?