keletal remains of the so-called "Pittsburgh Man," unearthed in Pennsylvania, had lost 84% of the carbon 14 they originally contained. Determine the approximate age of the bones.

Q: At the beginning of an experiment, a scientist has 340 grams of radioactive goo. After 195 minutes,…

A: Radioactive decay is given by: Where N0 - the initial amount             λ - decay constant…

Q: O How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: The amount of radioactive element at time t is given by                   Nt=Noe-λt      where λ is…

Q: The half-life, T, for a particular radioactive element is 7 min. Find the decay rate of the element.…

A: Half life = (ln2)/K = 7 min k= decay constant. Thus, k = (ln2)/7 = 0.099/min General decay equation…

Q: Complete the table shown to the right for the half-life of a certain radioactive substance. ...…

A:

Q: The proportion of carbon-14 still present in a sample after t years is  e−0.00012t. Estimate the age…

A:

Q: The half-life of Radium-226 is 6 years. How much of an initial 178 g sample will remain after 23…

A: Initial amount of Radium-226 is A0 = 178 g The half life of Radium-226 is t12 = 6 years Total Time,…

Q: The decay rate, k, for a particular radioactive element is 2.4%, where time is measured in years.…

A:

Q: (a) In a chemical reaction, a certain compound changes into another compound at a rate pro-…

A:

Q: This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long…

A:

Q: At the beginning of an experiment, a scientist has 120 grams of radioactive goo. After 210 minutes,…

A: Here Given for the Radio active material  Initial weight = G0=120 gms And G(210) = 15 gms

Q: 15. Radium decomposes at a rate proportional to the amount present. If half of the origi amount…

A: let x be the quantity of radium at a time t .  dx/dt =kx  dx/x = kdt  Integrating,  logx = kt + logc…

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

A:

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: Strontium-90 is a radioactive substance that decays according to the following function, where yo is…

A:

Q: The half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the element.…

A:

Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element…

A: Given: The half life 'T' of the radioactive element=15 min. To find: The rate of decay of the…

Q: If the half-life of a radioactive substance is 5,200 years, then at what rate is it decaying? (Hint:…

A:

Q: Q1) A radioactive isotope has a half-life of 16 days. You wish to have 30 g at the end of 30 days.…

A: Using the radio-active decay formula, it can be written that Nt=N012tt12 , where , N0 is the initial…

Q: This exercise uses the radioactive decay model, The half-life of strontium-90 is 28 years. How long…

A: Use radioactive law

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

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

Q: The analysis of certain prehistoric paintings revealed that the paint contained 65% of its original…

A: We have to find approximate age of the cave paintings.

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

A: Given energy released by burning 1 kg of sedimentary rock = 1.6 x 109 Country A energy consumption =…

Q: A small metal bar, whose initial temperature was 20∘C, is dropped into a large container of boiling…

A: The Newton's Law of cooling is:…

Q: Suppose that the initial mass of a radioactive substance is m0 and the half-life of the substance is…

A: Given  The initial mass of a radioactive substance is m0 and the half-life of the substance is h.…

Q: This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long…

A:

Q: 1. Strontium-90, 90Sr, has a half-life of 29 years. a) If 42.5 grams remain after 50 years, what is…

A: The formula for the quantity remaining of a substance after t years is: Nt=N012tt12 Here, t12=…

Q: Radium decomposes at the rate proportional to the present amount. If the half- life is 1600 years,…

A:

Q: At the beginning of an experiment, a scientist has 128 grams of radioactive goo. After 105 minutes,…

A:

Q: 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you are down to 10mg…

A: Given problem:- 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you…

Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

A: The expression of exponential model, Qt=Q0e-kt. The half-life of cobalt 60 is 5 years. at t = 5, the…

Q: The amount of carbon 14 present in a paint after t years is given by A(t) = A, eto012 The paint…

A: Let's find.

Q: The half-life of a radioactive substance is 160 years. a) Compute the decay constant k (4 decimal…

A: a)Half-Life of a radioactive substance is 160 years, Initial amount=300 g time, t=160 years,We know…

Q: Cobalt-60 has a half-life of 5.24 years. How long would it take a 100 mg. mass to ecay to 2 mg.?…

A:

Q: The population of a certain species is given by N = 127 × 1.06t, where t is measured in years. What…

A:

Q: The amount of the radioactive element Pragelium present in a sample can be calculated using a model…

A: Given A=A0ekt, and t1/2=13, to find k=?

Q: This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long…

A:

Q: Under laboratory conditions the half-life of ozone is approximately 25 hours. If Q = Qoekt is the…

A: Decay rate is value of k at which ozone decays. It can be easily found using initial condition

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: Q1) The doubling time for a certain virus is 3 yr. How long will it take for the virus to increase…

A: Here we will find out the required value.

Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

A: The general exponential decay model for cobalt 60 is: Q(t)=Q0e-kt Where: Q(t) is the quantity of…

Q: Strontium-90 has a half-life of 28 days.(a) A sample has a mass of 50 mg initially. Find a…

A:

Q: This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long…

A: It is given that half life of stronium-90 = t12=28 years, the final and initial  amount are 20 mg…

Q: The half-life of Carbon-14 is 7 years. How much of an initial 169 g sample will remain after 28…

A:

Q: Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X,…

A:

Q: A certain drug is eliminated from the bloodstream with a​ half-life of 32hours. Suppose that a…

A:

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the…

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: The decay rate, k, for a particular radioactive element is 1.9%, where time is measured in years.…

A:

Q: %2310. If there are 150 grams of carbon-14 in an organism that dies today, in how many years will…

A: Initially when H=0, A0=150 gm. Half-life of Carbon-14 is 5730 years. Also it is given that, if A0 is…

Q: A sample of a radioactive substance decayed to 92% of its original amount after a year. (Round your…

A: Firstly, we can set up exponential equation we can use formula

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.