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 80% of the lead to decay? (Round your answer to two decimal places.) a. 182.1 b. 6.60 с. 84.9 d. 81.1 e. 7.66

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 80% of the lead to decay? (Round your answer to two decimal places.) a. 182.1 b. 6.60 с. 84.9 d. 81.1 e. 7.66

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A thermometer is removed from a room where the temperature is 21° C and is taken outside, where the…

Q: QUESTION 14 If Z3g = 0.82, then the value of a is %3D O a. 0.1031 O b. 0.4122 O c. 0.6183 O d.…

A: Because Z0.2061=0.82 From the standard normal table. 3*0.0687= 0.2061 Alpha = 0.2061

Q: Use the table to the right to answer the following question. Item Energy released by burning 1 kg of…

A: 1 liter water released 7×1013 joules. Let w= 7*1013 And country A annual energy consumption is…

Q: Given the following situation: A company loses 1.8% of its employees to retirement each year. This…

A: Using seperation of variables

Q: Solve the problem. The half-life of an element is 5.8 x 10° yr. How long does it take a sample of…

Q: ulation grows according to an exponential growth model. The initial population is P₁ = 17, a h rate…

A: We have to find the exponential growth model.

Q: The half-life of the carbon isotope C-14 is approximately 5,715 years. If the initial quantity of…

Q: QUESTION 8 (Again, populations in this question are in millions, so that a population of 1 means the…

A: Let P(t) be the population of bacteria at time t. Rate of growth is 4% per hour. Then, P(t) = P0…

Q: What is a mathematical model? Explain this statement: A model's predictions can only be as good as…

A: The correct option is (c) Mathematical models are based on relationships between quantities that…

Q: 14-A population changes proportionally to the population at a given time. Find the half life of an…

A: Let P = population at any time t t = time k = constant P0 = initial population

Q: If the half-life of a particular medication is 10 hours and we take a 25mg tablet at noon, how much…

A: Half-life of drug is period of time required for its concentration or amount in body to be reduced…

Q: In applying Newton's Law of Cooling, O The temperature of the surrounding depends on the temperature…

Q: The variables x and y have an exponential relationship, one of the form y = Suppose that we also…

Q: A certain radioactive isotope has a half-life of 17 hours. How long would it take a given amount of…

Q: The variables and y have an exponential relationship, one of the form y=C.a². Suppose that we also…

Q: If raw meat is allowed to thaw at 50°F, Salmonella grows at a rate of 9% per hour. a. Write a…

A: Let S(t) be the amount of salmonella after t hours. We will construct a differential equations…

Q: Strontium-90 has a half-life of 29 years. Beginning with a 10 mg sample, find how long it takes for…

Q: A population grows according to an exponential growth model. The initial population is Po = 17, and…

A: Given: The initial population is P0=17 and the common ratio is r=1.45. To Find: a) P1 b) P2 c)…

Q: A radioactive substance has decay constant ?=.234 If you start with 200 grams, how much do you have…

A: Decay equation

Q: . A certain substance has a half-life of 2 months. We start with 120 g substance. b. How much is…

Q: A radioactive substance decays according to the formula A = Ao ekt where A is the initial amount of…

A: To solve the question, first, determine the value of k by using the half-life years. The half-life…

Q: - 4)= 5

A: Solution: a.log3(3x-4)=5b.10-5x=76c.2.5x+3=63d.2 log(5x)-3=1 Properties: y=logbx is equivalent to…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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
80% of the lead to decay? (Round your answer to two decimal places.)
a.
182.1
b.
6.60
C.
84.9
d. 81.1
е. 7.66

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Predict the U.S. emissions for a year when the non-U.S. emissions level is 3.4 Round the answer to two decimal places.
2 Each year, on an average, about 6.4 x 10 grams of fossil is decomposed. Calculate the amount of fossils decomposed over 1.3 x 10° years. Fossil decomposed in a year 6.4 x 10g g Fossil decomposed in 1.3 x 10 years
Can someone explain how the problem is solved using the work attached? Thanks A radioactive isotope has a half-life of 26 hours. If a 300 milligram sample of the isotope was taken, how long would it take for the 300 milligram sample to decay to 5 milligrams?
A certificate of deposit is worth P (1+r)t dollars after t years, where r is the annual interest rate expressed as a decimal, and P is the amount initially deposited. Which investment will be worth more? Investment A, in which P =$7300, r=4%, and t=5 years. Or investment B, in which P= $6300, r=6%, and t= 7years. Round to two decimal places. The value of certificate A will be what? And the value for investment B will be what? And which is worth more, A or B?
1-13)
ch Question 15 Suppose you are at a gas station in Europe and you run out of gas. Your car has 15 gallons gas tank. If in Europe each liter of gas is 1.25 British pounds. How many British Pound would you have to pay to fill up your gas tank. Find the closest answer. Onone of these answers 87.34 50.34 70.87 Question 16 C LG