If 200 mg of radium is reduces to 160 mgof radium in 400 years Write the mathematical model to calculate how much radium at the end of 1000 years. Also find the half-life of radium?

Q: Find the half-life of a radioactive substance that decays by 4% in 3 years. (Round your answer to…

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Q: The half-life of Radium-226 is 10 years. How much of an initial 138 g sample will remain after 49…

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

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Q: If 100 mg of radium is reduced to 90 mg of radium in 200 years determine how much radium will remain…

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Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: Given that Half life of radium is 1590 years To find How long would you have to wait for 1/8 of it…

Q: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

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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: If 7000 dollars is invested in a bank account at an interest rate of 5 per cent per year, compounded…

A: Given that, the initial amount is P=7000 interest rate is r=5%, compounding period is p=1 and final…

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 in a piece of lead is 1600 years. What percentage of the original amount of…

A: Given that, the half-life of radium in a piece of lead is 1600 years. Note that, the formula for…

Q: Assume a substance is reduced by 24% in 27 hours. What is the substance's half-life? hours Give your…

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

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Q: he​ half-life of​ carbon-14

A: Given, the​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a…

Q: If the quantity of a substance decreases by 4% in 11 hours, find its half-life. Round constants to…

A: Let initial quantity is A0 . Quantity after t hours = Ak= some constant.A is given by:

Q: Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

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Q: You have 1,352 grams of a radioactive kind of neptunium. How much will be left after 130 minutes if…

A: We have to find

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: Find the half-life of a radioactive substance if 250 grams of the substance decays to 190 grams in 7…

A: Consider N0 be the initial amount of substance

Q: If $2000 is invested at 6% interest, find the amounts due to the nearest cent at the end of 4 years…

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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 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: Suppose you have 100g of Titanium-44, which has a half-life of 63 years. After how long will only 1g…

A: Initial amount=P=100  Half life= H= 63 years  Final amount= A= 1  Time= t years Using the half-life…

Q: The half-life of radium-226 is approximately 1620years.a. How much of a sample weighing 4 g will…

A: For a radioactive material, we have N(t)=N012tt1/2 Where N(t)=quantity of the material remaining.…

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: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50…

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Q: The half-life of Radium-226 is 14 years. How much of an initial 143 g sample will remain after 43…

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Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. How much of the…

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Q: If 3000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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

A: The amount left after t years can be calculated as

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: How long will it take a $700 investment to be worth $1300 if it is continuously compounded at 10%…

A: If P is the principal, r=rate of interest, t= time in years, hen , amount is given by

Q: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life…

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

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Q: The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in…

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Q: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half-life of the…

A: Let the given condition can be modeled as  y=y0eλt   where, y=  Final quantity y0= Initial quantity…

Q: A sample of radium has a weight of 1.5mg and a half-life of approximately 6 years how much of the…

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Q: Assume a quantity decreases by 7.5% in 5.3 hours. What is the half-life of the substance? hours

A: Calculating the half life of the substance using the given conditions

Q: If 250 mg of a radioactive element decays to 220 mg in 12 hours, find the half-life of the element.…

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Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: The radioactive decay is modelled using the equation, N(t)=N0e-kt. Here, N(t) is the amount of…

Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: Given, you have a cache of radium, which has a half-life of approximately 1590 years.

Q: After 25 years, 60% of a radioactive substance still remains in a 20 gram sample. What is the…

A: Half life of a radio active material is the time required to reduce the initial quantity to its…

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: A radioactive substance is known to have a half-life of 78 years. Calculate the number of years it…

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

A: Let us assume it takes n half-lifes to reach 10mg

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: How much of a radioactive kind of tungsten will be left after 363 days if the half-life is 121 days…

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Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

Q: A certain radioactive substance has a half-life of 38 hour. Find how long (in hours) it takes for…

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