The half-life of bismuth-210, 210Bi, is 5 days.(a) If a sample has a mass of 232 mg, find the amount remaining after 15 days. (b) Find the amount remaining after t days. (c) Estimate the amount remaining after 3 weeks. (Round your answer to one decimal place.) (d) Use a graph to estimate the time required for the mass to be reduced to 1 mg. (A graphing calculator is recommended. Round your answer to one decimal place.)

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

The half-life of bismuth-210, 210Bi, is 5 days. (a) If a sample has a mass of 232 mg, find the amount remaining after 15 days. (b) Find the amount remaining after t days. (c) Estimate the amount remaining after 3 weeks.

The half-life of bismuth-210, 210Bi, is 5 days. (a) If a sample has a mass of 232 mg, find the amount remaining after 15 days. (b) Find the amount remaining after t days. (c) Estimate the amount remaining after 3 weeks.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 14EQ

See similar textbooks

Related questions

Q: A scientist puts 250 grams of radioactive radium having a half-life of 1690 years into a concrete…

Q: Suppose a scientist has a fossil sample with 180 g (grams) of carbon-14. If its original amount of…

Q: The half-life of strontium-90 is 28 years. How long will it take a 56 mg sample to decay to a mass…

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

Q: Cobalt-60 has a half-life of 5.24 years. (a) Find the mass that remains from a 100-mg sample after…

A: t=Duration of half life=5.24 years k=Constant C=Mass of Cobalt=100 mg…

Q: If the initial mass of an Potassium was 149 grams will remain after 20 hours is 37.25 grams, then…

Q: After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. (a) Find a formula for m(t), the mass…

A: GIVEN After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. We need to find (a) Find a…

Q: A radioactive substance with initial mass of 600 g has a half-life of 6 weeks. a) Determine an…

Q: The half-life of radium is approximately 1600 years. If the present amount of radium in a certain…

A: Consider the formula to find the remaining amount of radium.The half life, t(1/2) is 1600 yrs.The…

Q: 2. Fermium-253 has a half-life of 33 days. (a) If we start with 1,200 mg, how much Fermium-253 will…

A: Fermium-253 has a half life of 33 days, that means Fermium-253 will take 33 days to reduce its…

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

Q: A scientist puts 200 grams of radioactive radium having a half-life of 1690 years into a concrete…

A: Radioactive decay

Q: 17. The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a…

Q: 1. A sample of einsteinium-252 decayed to 64.3% of its original mass after 300 days. a) What is the…

A: Let 100 be the original mass 64.3% of 100 is 64.3100 of 10064.3100·100=64.3 Now we find out decay…

Q: A sample from human remains found near Stonehenge in England shows that 71.2% of the carbon-14 still…

Q: 10. Cobalt-60 has a half-life of 5.42 years (a) Find the mass that remains from a 100-mg sample…

A: The given half life t1/2= 5.42 years

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Given information: Initial amount=Q0=7 mgHalf life=t12=5730 years

Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Element X is a radioactive isotope such that every 70 years, its mass decreases by half. Given that…

Q: Strontium-90 has a half-life of 29 years. If there are 400 grams of strontium initially, how much,…

A: Strontium-90 has a half-life of 29 years, there are 400 grams of strontium initially.

Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

Q: The half-life of plutonium-241 is approximately 13 years. How much time is necessary for a sample…

A: The exponential formula for decay is given as: A=A0e-λt ⋯2, where A is future amount,…

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

Q: A certain radioactive isotope has a half-life of approximately 1750 years. How many years to the…

A: Consider the amount is, A=Pert here, A is the isotope, P is the initial amount and r is the…

Q: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

Q: The half-life of radium-226 is 1590 years. Suppose we start with a sample of radium-226 whose mass…

A: Given: The half life of radium is 1590 years. Mass of the sample= 50 mg

Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

Q: The half-life of radium-226 ( 226 88 RA ) is 1590 years.(a) A sample of radium-226 has a mass…

A: Given- t12=1590 years, intial amount=100mg To find- (a)Find a formula for the massof 226 88 RA…

Q: The population of one state increases at a rate numerically equal to the cube root of the…

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

Q: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

Q: The half-life of bismuth-210, 210Bi, is 5 days. (a) If a sample has a mass of 232 mg, find the…

A: Use the derived equation for the given half life and initial mass of bismuth-210.

Q: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life…

Q: The half-life of Radium-226 is 1590 years. a) If a sample contains 200 mg, how many mg will remain…

Q: The half life of a substance is described as the time it takes for the mass of a substance to be…

Q: - Cobalt-60 has a half-life of 5.24 years. a. Find the mass that remains from a 100-mg sample after…

A: To find the mass that remains from 100 mg sample after 30 years and time required to reduce the…

Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

Q: The half-life of plutonium-241 is approximately13 years.a. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. A(t)=A0e-k tA02=A0e-k×13…

Q: The half-life of bismuth-210,210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount…

A: Given : The half-life of bismuth-210, 210Bi, is 5 days.

Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

Q: Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that…

A: Radioactive decay

Q: Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that…

Q: If the initial mass of an Potassium was 111 grams will remain after 10 hours is 27.75 grams, then…

Q: If 18g of a radioactive substance are present initially and 4 yr later only 9g remain, how many gs…

A: It is simple unitary method problem.

Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: (a) After 20 years, 15% of the initial mass of the radium has decayed. (i) Find the half-life period…

Q: Element X decays radioactively with a half life of 8 minutes.If there are 980 grams of Element X,…

A: We have to find the time

Q: The half-life of bismuth-210, 210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount…

A: a) Given N15 (amount remaining after 15 days) = 200(0.5)^15/5= 200(0.5)^3 = 200 × 0.125 = 25 mg

Question

The half-life of bismuth-210, ²¹⁰Bi, is 5 days.

(a) If a sample has a mass of 232 mg, find the amount remaining after 15 days.

(b) Find the amount remaining after t days.

(d) Use a graph to estimate the time required for the mass to be reduced to 1 mg. (A graphing calculator is recommended. Round your answer to one decimal place.)

Expert Solution