The half-life of cesium-137 is 30 years. Suppose that we start with 40 grams of cesium-137 in a storage pool. Find a formula that gives the amount C of cesium-137 remaining after h half-lives. 1h/2 O C = 40 x 1h O C = 40 x O C = 30 x 1h/2 O C = 30 x

Q: The half-life of palladium-100 is four days. (So half of any given quantity will disintegrate in…

A: Let the initial mass of palladium-100 is m, it is given that mass will reduced to half in 4 days. so…

Q: Element X decays radioactively with a half life of 11 minutes. If there are 300 grams of Element X,…

A: Given information: The half life h =11 min, there are 300g of element X. To find: The time it will…

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

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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: The formula for the half - life of continuosly decaying substances is N(t) = No5". where No is the…

A: Given the formula for the half life of continuously decaying substance is Nt=N012th. Given that a…

Q: If the initial mass of an Potassium was 159 grams will remain after 16 hours is 39.75 grams, then…

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

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Q: At the beginning of an experiment, a scientist has 116 grams of radioactive goo. After 90 minutes,…

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Q: Radium-221 has a half-life of 30 sec. How long will it take for 83% of a sample to decay?

A: If Ao is initial amount of Radium-221. substance, h is half-life of substance and t is elapsed time.…

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: At the beginning of an experiment, a scientist has 252 grams of radioactive goo. After 120 minutes,…

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Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: Given, the half-life palladium-100 is 4 days. Here, we use the radioactive decay model, given as…

Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

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Q: 3. The half-life of sodium-25 is 1.0 minutes. a) Starting with 1.0 kg how much will remain after ½…

A: Half life is very significant for chemical substances, especially for nuclear substances. It informs…

Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 94% of the…

A:

Q: At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 60 minutes,…

A: Answer

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

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Q: At the beginning of an experiment, a scientist has 216 grams of radioactive goo. After 195 minutes,…

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Q: If the initial mass of an Potassium was 183 grams will remain after 22 hours is 45.75 grams, then…

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Q: The amount remaining of a 162 mL sample of a liquid substance, y (in mg) after x hours is modeled by…

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Q: A certain radioactive substance decays according to the formula q(t) = q0e −0.0031t where q0 is the…

A: The radioactive substace decay equation is given byq(t)=q0e-0.0031t.........(1)where q0is the…

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

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

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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: At the beginning of an experiment, a scientist has 396 grams of radioactive goo. After 75 minutes,…

A:

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

A: To find the initial mass of the sample and mass after 7 weeks after the start.

Q: At the beginning of an experiment, a scientist has 388 grams of radioactive goo. After 150 minutes,…

A: Given data are: Initial amount of radioactive goo= 388 grams Amount of radioactive goo after 150…

Q: Radium has a weight of 1.5 and a half life of 6 years. What is its weight after 3 years?

A:

Q: The half life of radium−226 is 1590 years. Let m(t) = m0 exp (kt) be the mass of radium−226 that…

A: Half time of the radium is 1590 years. m0=100mg Half time of the radium is 1590 years.…

Q: a radioactive element decays according to the fuction A(t)= A0 e-0.0319t, where t is in years. a. if…

A: a. amount of the element which would remain after 5 years is 426 grams b. the half-life of the…

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

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Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 225 minutes,…

A: Consider that a scientist has 352 grams of radioactive goo. After 225 minutes, the sample decays to…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduce to…

A: To find the mass.

Q: Element X decays radioactively with a half life of 8 minutes. If there are 460 grams of Element X,…

A:

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

A: Use radioactive substance formula to determine it

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

A:

Q: 1. Fermium-253 has a half life of 3 days. If we start with 1000 mg, how much will be left after 20…

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Q: The half-life of sodium-25 is 1.0 minutes.  Starting with 1.0 kg how much will remain after ½ hour.…

A:

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

A:

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

A:

Q: half-life of Palladium-100 is 4 days

A: We have to find out the initial mass and the mass after 6 weeks.

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

A:

Q: At the beginning of an experiment, a scientist has 268 grams of radioactive goo. After 180 minutes,…

A: We have to determine the equation for G(t) and remaining amount after 32 minutes.

Q: The decay of 713 mg of an isotope is given by A(t) = 713 e 0.029t wheret is time in years. Find the…

A:

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: To find the initial mass of the sample.

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.