A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present initially, how many grams of the substance will remain after 125 years?

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

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: The isotope cesium-137 has a half-life of 29.75 years. How long will it take a 100 gram sample of…

A: To determine the time taken for 100 gram sample of cesium-137 to decay to 75 grams.

Q: If there were originally 500 grams of carbon-14 originally, how much carbon-14 would remain after 10…

A: In each half life , amount becomes half of the previous one. It means that, after each half life the…

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

A: The radioactive element​ carbon-14 has a​ half-life of 5750 years, then the decay constant λ by…

Q: How much of a 500g sample of potassium-42 is left after 62 hours if the half life of potassium-42 is…

A:

Q: The radioactive element polonium-210 has a half-life of 138 days. If you have 100 micrograms of…

A: The half-life equation for radioactive decay is:

Q: A certain computer loses half of its value every two years. If the value of the computer after 3…

A:

Q: a radioactive decay поас есаy

A:

Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

Q: A new water pump has a capacity of 60 m³/day. If its capacity goes down by 15% every year, in how…

A:

Q: Suppose that some graduate students left 8 grams of a radioactive substance unattended in their…

A: Consider the quantity of a radioactive substance initially present be N0. If the half-life of this…

Q: If radio active carbon-14 has a half -life of 5750 years ,what will remain of one gram after 3000…

A: The formula for the half-life is given by Nt=N012tt12 where N(t) is the amount of substance…

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

A:

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

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

Q: The half-life of carbon-14 is known to be 5720 years. Doctor Frankenstein has 300 grams of…

A: From the given data:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: What is the half-life of a radioactive substance if it takes 5 years for one-third of the material…

A: We have to find half life period

Q: The half-life of radium is 1620 years. If a laboratory has 12g of radium, how long will it take…

A:

Q: The half life of a certain isotope is 6.13 hours. If we have a sample of 5.0 ounces of that isotope,…

A:

Q: The half life of a certain isotope is 8.5 hours. If we have a sample of 10 ounces of that isotope,…

A: Consider the following information: Half life periodt12=8.5 hours Decay constantλ=ln2t12=ln28.5…

Q: A radioactive isotope, selenium, used in the creation of medical images of the pancreas, has a…

A:

Q: If 10% of a radioactive substance decays after 33 years. How much will remain after 200 years?

A: Let in starting the radioactive substance = No And after t time it becomes N

Q: If 525 mg of a radioactive element decays to 450 mg in 48 hours, what is its half-life?

A: we are using model for radioactive decayN=N0e-λtwhereN0=initial amountN=The amount test of a…

Q: The population of a city doubles every 15 years. At this rate, how long will it take the population…

A:

Q: An isotope Of thorium has a half-life Of 18.4 days. To the nearest day, how long will it be until…

A: Given half life = 18.4 days

Q: A radioactive substance has a half-life of 3000 years. If you start with 100 kg of it, how much will…

A: In 1 half life amount becomes half of its initial value. After n half life it becomes 1/2n of its…

Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A:

Q: An isotope has a half-life of 98 years. How much of a 16-gram sample is left after 150 years?

A:

Q: If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If 275 mg of a radioactive element decays to 200 mg in 48 hours, what is its half-life?

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Q: If the generation time is 90 min and the initial population contains 103 cells, how many bacteria…

A:

Q: A bacteria has an initial population of 200. If after 2hrs, its population is 10 times the original…

A:

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

A: Given:The radioactive element carbon-14 has a half-life of 5750 years and the bones from a mastodon…

Q: How many half lives must have passed for an isotope with a half life of 10 years to decay from 1600…

A:

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it…

A: If A0 is initial amount present and T is half -life of the substance. Then the amount of substance…

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: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

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

A:

Q: If 10% of a radioactive substance decays after 33 years how much will remain after 200 years?

A:

Q: A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of the…

A:

Q: The half-life of Fermium-253 is 3 days. If a sample initially contains 100 mg, how many milligrams…

A: Half-life Formula: Where,  N(t) = amount left after time t                N0 = Initial amount…

Q: Thorium-227 has a half-life of 18.4 days. How many days will a 100mg sample take to decay to 12.5mg?

A: Here, we need to find how many days will a 100mg sample of Thorium-227 take to decay to 12.5mg.

Q: Thorium -227 has a half life of 18.4 days. How many days will a 100mg sample take to decay to…

A: We know that, N(t)= N(0)*(1/2)t/(t1/2) N(t) = quantity of the substance remaining N(0) = initial…

Q: The half-life of Carbon-29 is 1300 years. If 15 grams are present now, how much will be present in…

A: Let A(t) be the amount of Carbon-29 remaining in t years, then

Q: If 16 g of a radioactive substance are present initially and 9 yr later only 8 g​ remain, how much…

A:

Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

Q: A radioactive substance has a half-life of 4 hours. How much of it is left after 12 hours?

A: Since, a radioactive substance has a half-life of 4 hours.Our aim is to calculate the amount of…

Q: If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the half-life of the element.

A:

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

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.