An unknown radioactive element decays into non-radioactive substances. In 700 days the radioactivity of a sample decreases by 40 percent. How long will it take for a sample of 100 mg to decay to 71 mg? Round to the nearest days. 155 days B 359 days C. 469 days 274 days

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: (a) A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains afte 100…

A: We will use radioactive decay formula ..

Q: Suppose that an earthquake registered approximately 1022 joules of energy. What is its magnitude on…

A: We will find the magnitude of earthquake.

Q: Four research teams measured the half-life of a radioactive isotope, and what each team wrote in its…

A:

Q: The isotope 226Ra has a half-life of 1,599 years. Given an initial amount of 13 grams of the…

A:

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being…

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Q: A roasted turkey is taken from an oven when its temperature has reached 185F and is placed on a…

A:

Q: The half-life of Radium-226 is 1760 years. If a sample contains 400 mg, how many mg will remain…

A: Half life of Radium-226 1760 years Initial value- a∘=400mg Given time=2000 years n=20001760…

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A:

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: "Ra has a half-life of 1,599 years. Given an initial amount of 13 grams of the isotope, how many…

A: Solve by using decay formula.

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

A:

Q: A sample of bacteria is decaying according to a half-life model. If the sample begins with 800…

A: Given: t=0  ,A0=800 t=14  ,A=160 t=?  ,A=40

Q: A scientist investigating a new type of bacteria has created the following model for the population…

A: Population pf the bacteria P=150(1.08)t   ...(1)Where t= time According to question given that t=10…

Q: The half-life of the radioactive element unobtanium-29 is 10 seconds. If 32 grams of unobtanium-29…

A: given: Half life, T=10 sec initial quantity, A0=32 gm

Q: The half-life of Strontium is 28 years. Suppose we have a 80 mg sample. How long will it take the…

A: Given: The half-life of Strontium is 28 years. We have to find the duration to take the sample to…

Q: The half-life of radium is approximately 1690 years. A laboratory has 50 milligrams of radium. How…

A: Given that, the half life of radium is approximately 1690 years. Use the formula N=N012n to find the…

Q: The radioactive isotope Bismuth-210 has a half-life of 5 days. How many days does it take for 87.5%…

A:

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

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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: A sample of bacteria is decaying according to a half - life model . If the sample begins with 500…

A:

Q: The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive…

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Q: Suppose a sample of a certain substance decayed to 75.6% of its original amount after 300 days. (a)…

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Q: has a half-life of 1,599 years. Given an initial amount of 13 grams of the isotope, how many grams…

A: half life formula : No=initial value =13t12=half life=1599 put the values :

Q: A radioactive substance has decay constant ?=.234 If you start with 200 grams, how much do you have…

A: Decay equation

Q: The​ half-life of the radioactive element unobtainium-47 is 20 seconds. If 80 grams of…

A:

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

A: The half life =1590 year. Original amount=100 mg

Q: Suppose that an earthquake registered approximately 1012 joules of energy. What is its magnitude on…

A:

Q: . A 90 g sample of plutonium-238 has a half-life of 88 years. How long will it take for this sample…

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Q: years, 20% of a radioactive element decays. Find its half-life. (Round your answer to one decimal…

A: Given query is to find the half life if the substance

Q: The half-life of the radioactive element unobtanium-59 is 20 seconds. If 32 grams of unobtanium-59…

A:

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

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Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

A: Complete the table shown to the right for the​ half-life of a certain radioactive substance.…

Q: Californium-253, a radioactive isotope with applications in nuclear energy and medicine, has a…

A: Given Initial weight of californium-253 S0=50 gram Half life time λ = 18 days

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

A:

Q: How long will it take 72 grams of magnesium-28 to decay into the following amounts? (a) 36 grams…

A: To find the number of hours for the following decay

Q: A bacteria population is known to grow at the rate of 5% every hour. If the current population is…

A: Current population of the bacteria is 1000. Population is growing at a rate of 5% every hour. So the…

Q: Assume a radioactive substance has a half-life of 6 years and the initial amount of 50 grams. How…

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Q: 6) How much isotope will be left after 80 years? A) 274 g B) 276 g C) 278 g 7) How long will it take…

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Q: The radioactive isotope of potassium **K which is used in the diagnosis of brain tumors, has a…

A:

Q: The half-life of radium is 1590 year. If 10 grams is present now, how much will be present in 50…

A: Solve the given problem.

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 plutonium- 234 is 9 hours. If 80 milligrams is present now, how much will be…

A:

Q: A sample of bacteria is decaying according to a half-life model. If the sample begins with 500…

A: The decay function is: P(t)=P0ekt Given P0=500. So, P(t)=500ekt Now given that P(14)=100. So, the…

Q: 1. A mercury thermometer recards a temperature of 8 degrees Fahrenheit at 10 A.M. If the temperature…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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

A: The half life of the radioactive element is the time during which half of the radioactive element…

Q: A certain plant grows of an inch for 4 1 of the year. At this rate, how 2 many years will it take…

A: Given that 34 inches grows for 12 of the years Therefore 1 inch grows  for  1234=12×43=23 years…

Q: 34)The amount A of radium in milligrams remaining in a sample after t years is given by 4)0.2160 How…

A: Here, we substitute the value of A(t)=0.004  and solve the equation to get hte required value of t…

Q: If 18g of a radioactive substance are present initially and 4 yr later only 9g​ remain, how many gs…

A: It is simple unitary method problem.

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.