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? Do not put a unit in your answer. Do not round off the value of "k". Round off your final answer to the nearest whole number.

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? Do not put a unit in your answer. Do not round off the value of "k". Round off your final answer to the nearest whole number.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Related questions

Q: used to treat thyroid cancer, decays with a first-order half-life of 6.99 × 105 s. How long does it…

Q: The half-life of the radioactive isotope 137Cs is 30.17 years. How long does one have to wait until…

A: To solve this problem we have to first calculate the rate constant of the reaction using half life…

Q: The half life for the radioactive decay of potassium-40 to argon-40 is 1.26 x 10' years. Suppose…

A: Given data, Half-life = 1.26 × 109 years At the time of analysis, amount of argon-40 = 0.716 mmol…

Q: At an archaeological site, several well- preserved items made from wood were found. The carbon-14…

A: The objective of this question is to determine the age of the wooden items found at an…

Q: A sample of corn from an extinct civilization has a decay rate of 9.5 decays per minute per gram of…

A: Given data,Initial Decay rate=9.5min-1g-1Decay rate in atmosphere=15min-1g-1K=1.21×10-4year-1

Q: The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 × 10° years. Suppose…

A: Carbon 14 →Nitrogen-14 Half life t1/2 = 5.73×103 years In a nuclear reaction Nitrogen-14 is 0.524…

Q: 1311, used to treat thyroid cancer, has a first order half-life of 6.99 × 105 s. How long does it…

A: Radioactive decay follows first-order kinetics. The decay constant (λ) and half-life of a substance…

Q: 1. The radioisotope A () spontaneously decays to form the radioisotope B (O), as shown below. t = 0…

A: For first box: No of A = 16 ; No of B = 0 For Second box: No of A = 8 ; No of B = 8 For…

Q: Strontium-90 is one of the radioisotopes released in the Chernobyl nuclear plant accident. The…

Q: The half life for the radioactive decay of carbon- 14 to nitrogen- 14 is 5.73 xx10^(3) years.…

A: Given;Half life for the radioactive decay of carbon-14 to nitrogen-14 = 5.73 x103 yearsMillimoles of…

Q: The radioisotope strontium-90 has a half-life of 38.1 years. If a sample contains 40 mg of Sr- 90,…

Q: Potassium 40 has a half-life of 1.28 × 10⁹ years. K-40 decays to only Ar-40 which is stable. No…

A: Answer:Here:

Q: The half life for the radioactive decay of potassium-40 to argon-40 is 1.26 × 10’ years. Suppose…

A: Given : Half life of potassium-40 = 1.26 X 109 years. Moles of argon-40 = 0.543 mmol. And moles of…

Q: The half-life for the radioactive decay of C−14 is 5730 years. How long will it take for 21% of the…

Q: An atomic isotope radioactively decays and has a half-life of 23.7 days. How many days will it take…

A: In order to solve this question, we will follow the rule that all radioactive disintegration decays…

Q: 12. The half-life for the decay of the Uranlum (U)Isotope to the Lead (Pb)2 Isotope Is 4.5 x 10…

Q: At t = 0s, you have a pure sample of an unknown substance. At t = 28 s, 36.8% of the substance…

Q: The half life for the radioactive decay of potassium-40 to argon-40 is 1.26 x 10 years. Suppose…

A: Calculation

Q: Radioisotope X has a half-life of 4.0 h. Based on the figure below, if the original sample of the…

A: Half life (t1/2) :- The time required for the concentration of reactant to reduce to half of its…

Q: The rate constant for the decay of a radioactive element is 2.44 x 10 ^-3 day^-1. What is the…

Q: The first-order decay of thallium-201 is used to image heart muscle in patients with suspected heart…

A: The half-life of the thallium-201 is = 73 h The percent reactivity of the thallium-201 after 48 h is…

Q: The half life for the radioactive decay of rubidium-87 to strontium-87 is 4.88 x 10 years. Suppose…

A: The half-life for the radioactive decay of rubidium-87 to strontium-87 t12 = 4.88 × 1010 years There…

Q: If 40 mg of HCL is added to 600 mL of pure water, has a first order decay rate constant of 0.2/day,…

A: The first order reaction is the reaction in which the rate of reaction is directly proportional to…

Q: If 28.0% of a sample of erbium-165 decays in 4.74 hours, what is the half-life of this isotope (in…

A: Half life period of a reaction:- The time during which the concentration of a reactant is Reduced…

Q: Tritium, which is , has a half-life of 12.3 years. Calculate the amount of time it would take for…

Q: The radioactive nuclide 170Ta undergoes first-order decay with a half-life of 6.76 min. If a…

Q: If aspirin concentration in the body has an exponential decay, and 70% of the concentration remains…

Q: A sample of corn from an extinct civilization has a decay rate of 8.6 decays per minute per gram of…

A: The integrated rate law equation for the first order reaction is as follows,…

Q: A 1.000 g sample of strontium-90 decays to 0.900 g after 2.5 years. What is the half-life? How much…

Q: Phosphorus-32 is a commonly used radioactive nuclide in biochemical research, particularly in…

A: Given: Half-life of phosphorus-32 = 14.3 days Atomic mass of ³²P = 32.0 g/mol Mass of Na₃³²PO₄ = 175…

Q: cer, has a first order nail-life of 6.77 x 10 S. HOW used to treat thyroid long does it take for the…

A: Half life of first order reaction is independent of concentration

Q: The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 x 10 years. Suppose…

A: Given that, the half-life (t1/2) for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 * 103…

Q: The half-life of a chemical substance is 5 days. How long does it take for 1.3 Kilograms of the…

A: For first order t = 1/K × { ln Co/Ct }

Q: An isotope of thorium, 227Th, has a half-life of 18.4 days. How long will it take for 83% of the…

A: The correct answer of the question is given below

Q: The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 x 10 years. Suppose…

A: Radioactive decays are first order reactions. Here, beta decay occurs to convert carbon-14 to…

Q: Chromium-51 is a radioisotope that is used to assess the lifetime of red blood cells The half-life…

A: The initial amount of Chromium-51 (No) = 54.8 mgThe half-life period of Chromium-51 (t1/2) = 27.7…

Concept explainers

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.

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?
Do not put a unit in your answer.
Do not round off the value of "k".
Round off your final answer to the nearest whole number.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

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, chemistry and related others by exploring similar questions and additional content below.

Similar questions

The isotope 90/38 Sr is one of the extremely hazardous species in the residues from nuclear power generation. The strontium in a 0.500-g sample diminishes to 0.393 g in 10.0 y. Calculate the half-life.
cl4 undergoes first order radioactive decay. For simplicity let its half-life be 6,000 years. The disintegration rate, measured as counts/sec by a radiation detector, is proportional to the amount of C1ª remaining. Suppose a sample which originally showed 8,000 counts/sec now shows 1000 counts/sec. What is the age of the sample? Note that you can't put a comma in your answer. years
Scientists 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 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 74% 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 eBook
The 1st-order decay of a particular radioactive element has a half-life of 1.234 days. How many grams of radon remain after 5.67 days if the sample initially weighs 891.0 grams? Group of answer choices 307 508 36.9 0.815 76.3
The isotope Cesium 137, which has a half-life of 30 years, is a product of nuclear power plants. How long will it take for this isotope to decay to 1/4 of its original amount? 45 years 90 years 15 years 75 years 60 years 30 years
The half life for the radioactive decay of potassium-40 to argon-40 is 1.26 × 10⁹ years. Suppose nuclear chemical analysis shows that there is 0.677 mmol of argon-40 for every 1.000 mmol of potassium-40 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits. years x10 X Ś
A certain drug has a half-life in the body of 5.0 h. What should the interval between doses be, if the concentration of drug in the body should not fall below 25.% of its initial concentration? Round your answer to 2 significant digits. h
Geologists can estimate the age of rocks by their uranium-238 content. The decay of U-238 is first-order with a half-life of 4.5 billion years (4.5×109 yrs). A rock contains 49.4% of the initial amount of U-238 from when it was formed. How old is the rock? Please explain full math and formulas used
The half life for the radioactive decay of carbon-14 to nitrogen-14 is 5.73 × 10° years. Suppose nuclear chemical analysis shows that there is 0.878 mmol of nitrogen-14 for every 1.000 mmol of carbon-14 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits. |years
A certain drug has a half-life in the body of 5.5 h. What should the interval between doses be, if the concentration of drug in the body should not fall below 35.% of its initial concentration? Round your answer to 2 significant digits.
. Let's apply the results of Problem 2 to potassium-argon dating frequently used to date sedimentary rocks. Potassium-40 decays by two different paths: electron emission electron capture where conversion to Ca occurs 89.1% of the time, and to Ar 10.9% of the time. The overall half-life for the decay of potassium-40 is 1.248 × 10⁹ years. Estimate the age of sedimentary rocks with an argon-40 to potassium-40 ratio of 1.02 %. 40 19K 140 Ca 40K 240 Ar 19 18-
The half life for the radioactive decay of potassium-40 to argon-40 is 1.26 × 10° years. Suppose nuclear chemical analysis shows that there is 0.380 mmol of argon-40 for every 1.000 mmol of potassium-40 in a certain sample of rock. Calculate the age of the rock. Round your answer to 2 significant digits. |years x10 ?