Determine the initial amount of radioactive substance if after 22 years, the remaining unconverted substance is 50mg and after another 10 years the remaining unconverted substance is 40mg. Determine the decay rate factor and the half – life of the substance.

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

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Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. b) Evaluate the…

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Q: If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life…

A: N(t)=N0e-tln2h N0=Initial amountt=decay timeh=length of half life Initial amount= N0=65 milligrams…

Q: A scientist begins with 225 grams of a radioactive substance. After 300 minutes, the sample has…

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Q: a radioactive decay поас есаy

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Q: The half-life of substance X is 3.5 years.  How long will it take for a 96.0 mg sample of substance…

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Q: * Find the decay rate of each scenario below. 1. If the half-life is 6, what is the decay rate? 2.…

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Q: In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuclear…

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Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 622 grams of the sample, how…

A: Given information Half life t12=64.10 hours And the initial mass m0=622 grams We have to find the…

Q: The half-life of Radium-226 is 1590 years. What is the annual decay rate? Express the decimal result…

A: Given data:   The given half-life of Radium-226 is T1/2=1590.   The expression for the annual decay…

Q: The half-life of the radioactive element tritium is 12 years. Find its decay constant.

A: We have, the half-life of the radioactive element tritium is 12 years. As we know that, The time in…

Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

Q: If half a certain amount of radium decays in 1600 years. What percentage of the original amount will…

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Q: If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of…

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Q: The decay constant for the radioactive element strontium 90 is l = .0244, where time is measured in…

A: Definition used -                            Decay equation -…

Q: A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long would it take…

A: Given problem:- A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long…

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

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Q: of a radiooctive substonce decayed to 93.5% of its original sample amount after oyear What is the…

A: we need find half life substance k=? and t=?

Q: After the release of radioactive material into the atmosphere from a nuclear power plant atChernobyl…

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

A: A certain radioactive substance has a half-life of 38 hours. t1/2 = 38 hrs  We know that every…

Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

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Q: The half-life of Cesium-137 is 30.7 years. How long will 200 grams of Cesium-137 take to decay to…

A: Given data The half-life of the cesium-137 is t1/2 = 30.7 years. The initial amount of the…

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: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: Half life of the plutonium isotope is 24,360 years. If 10g of plutonium is released into the…

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: After the release of radioactive material into the atmosphere from a nuclear power plant in a…

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Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

A: To find the initial amount of radioactive substance, decay rate and half-life of the substance.

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

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Q: the amount of a given radioactive substance today is 8 grams. After 10 years, the amount remaining…

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Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

A: The given problem is to find the half life and percentage loss in the 90 years for the given radio…

Q: The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive…

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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: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: alf-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only…

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Q: determine how long it will take for 650 mg of a sample of chromium-51, which has a half life of…

A: Half Life-The half life of a substance is thetime taken for half of the substance tobreakdown or…

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: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: A 50 mg sample of thorium-233 decays to 44 mg after 4 min. a) Determine the half-life of…

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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 radioactive strontium-90 is approximately 27 years. In 1963, radioactive…

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Q: he half-life of radioactive strontium-90 is approximately 30 years. In 1964, radioactive…

A: Given: The half-life of radioactive strontium-90 is approximately = 30 years    As we know that,…

Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A: The exponential function A = P * (1 - r)t  where A is the final amount and P is your inital amount.…

Q: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, the…

A: We have to find the decay rate of the radioactive compound.

Q: A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay…

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Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

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Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

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Q: he radioactive isotope gallium 67 has a biological half-life of 36 hours. If re start with 100…

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

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Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 750 grams of the sample, how…

A: See the detailed solution below.

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.