Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major component of the fallout from nuclear testing. Suppose that approximately 10 kg of Strontium-90 was released into the environment around the Alamagordo test site in 1961. How much undecayed Strontium-90 remains today?

Q: 2. The half-life of a radioactive substance is 4000 years. How long will it take for the substance…

A: The half life of the radioactive decay is  years.

Q: na futuristic laboratory, a spider exposed to the Neogenic Recombina beam made it radioactive.…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: 1. A radioactive material has a half-life of 200 years. my centuries are needed to dissipate its…

A: We know formula for the half life of a radioactive material is  Nt=N012tt1/2 Where N(t) is the…

Q: 12. A 4000 mg sample of bismuth decays to 500 mg in 18 minutes. What is its half-life?

A:

Q: Radium decomposes at a rate proportional to the quantity present. If at the end of 20 years…

A: Solution

Q: An initial population of 8,000 decays for two years until the population is 500. By what percentage…

A: Given-  An initial population of 8,000 decays for two years until the population is 500. To…

Q: m-48 has a half-life of about 16 days. Suppose that we have 21 grams of Vanadium-48. a) Find the…

A: Here we have given that, Vanadium-48 has a half-life of about 16 days. The amount of Vanadium-48 is…

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: Nobelium is a radioactive isotope that has 25 seconds half-life. How long will it take for Nobelium…

A: The formula to calculate the amount of radioactive isotope is N=Noe-λt where N is the rest amount No…

Q: 4. The population of Lalaland is 600,000 currently and is expected to grow (continuously) at 3.5%…

A: The present population P =600,000 Growth rate r = 3.5 % per year To find population after time t =…

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

A: The half life is 5750 years. Amount of carbon-14 lost is 28%.

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

A:

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A:

Q: Fermium-253 has a half life of 3 days. If we start with 1500 mg, how much Fermium-253 will be left…

A: We know that M(t)=M012th. Here, M0 is the initial amount, M(t) is the amount after time t and h is…

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.