6. A 40mg sample of a radioactive isotope decays to 30mg in 6.0 hours. Determine its half life, to 2 decimal places. Show your work.

Q: Suppose a scientist has a fossil sample with 140 g (grams) of carbon-14. If its original amount of…

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Q: Radiocarbon C14 has a half-life of 5730 years. How many years will it take for 26%of a sample of C14…

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Q: Determine whether the following statement is true or false, and explain why. The half-life of a…

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Q: A radioactive material decays at a rate proportional to its amount. If the material has a life of 30…

A: This question is based on application of differential equation.

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

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Q: 7. Traces of burned wood along with ancient stone tools in an archeological dig in Chile were found…

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Q: A sample of a newly discovered element, West Virginium, has a half-life of 425 years. How long will…

A: Given half life of element is 425 years t1/2. Initial weight A0 is 803 mg and after decay is 401.5…

Q: 11) The half-life of silicon-32 is 710 years. If 30 grams is present now, how much will be present…

A: Given data : Ao=30 gmp =710 years t= 300 yearsLet "A" be the amount after 300 yearsA=?

Q: 30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7…

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Q: (2) The half-life of titanium-44, a radioactive isotope, is 63 years. If a substance starts out with…

A: Here, we are going to solve question number 2 and for the remaining question post the question…

Q: The half-life of a certain radioactive substance is 9 years.  What is the yearly decay factor? Round…

A: The formula for exponential decay or growth function is given by: A = A0ekt Here, A = final amount…

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

Q: Suppose a sample of a certain substance decayed to 65.8% of its original amount after 300 days. (Ro…

A: Given that the substance decayed to 65.8% of its original amount after 300 days. (a) To determine…

Q: The half-life of Uranium-238 is approximately 4.5(10°) years. How much of a 10 kilogram block of U–…

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Q: 1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Given that Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of…

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

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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: 13. It takes 22 days for 90 g of radioactive element to decay to 22 g. Determine the half-life, to…

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Q: 3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time…

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Q: Determine the half-life of a particular element if 200gr of that element decays to 15 gr in 12…

A: Given: 200 gr of an element decays to 15 gr in 12 hrs. To find: Half-life of an element.

Q: An unknown radioactive element decays into non- radioactive substances. In 240 days the…

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Q: 6. A mine worker discovers an ore sample containing 500 mg of radioactive material. I vas discovered…

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

Q: The half-life of a radioactive radium is 1650 * years, what percentage of the amount present now…

A: Here first we find rate of decay rate using half life formula t12=-1rln12wheret12=half lifer= decay…

Q: What is the third-life of Woosterium-21? That is, find the time it takes a sample of Woosterium-21…

A: Exponential Decay Law A=A0e-kt t - time A - amount of sample after time t A0 - amount of sample at…

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: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

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

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

Q: 10) The half-life of silicon-32 is 710 years. If 40 grams is present now, how much will be present…

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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 tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

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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: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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Q: 1. Strontium-90, 90Sr, has a half-life of 29 years. a) If 42.5 grams remain after 50 years, what is…

A: The formula for the quantity remaining of a substance after t years is: Nt=N012tt12 Here, t12=…

Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: Cobalt-60 has a half-life of 5.24 years. How long would it take a 100 mg. mass to ecay to 2 mg.?…

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Q: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

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Q: Cesium-137 has a half-life of approximately 30 years. How much of a 40-gram sample would be left…

A: The exponential decay function is given by P = P0·ek·t where t = time in years P = the amount of…

Q: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

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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 sample of a newly discovered element, West Virginium, has been discovered. A 648 mg sample has…

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Q: 12. Given Bismuth-214 has a half-life of 20 minutes. What percent of the original amount is left…

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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: 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: suppose a sample of radioactive substance weighs 40mg. one year later, the sample weighs 25.5mg.…

A: We have to find  the half-life of given substance.

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

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Q: The annual usage time of the device whose failure time follows the exponential distribution is 1,000…

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Q: 21. Strontium-87 is used in the study of bones. After one hour, 78.1 mg remains of a 100 What is the…

A: Radioactive decay follows the first-order kinetics. To calculate the half-life of Strontium-87 first…

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.