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

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

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

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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: You have 10 ounces of a radioactive substance with a half-life of 5 hours. How long will it be until…

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Q: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

A: Given: The remaining percentage of carbon is 40%. The half-life of carbon-14 is 5730 years.

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

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

A: We will find the remains after 80 years in percentage.

Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

A: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

Q: The half-life of strontium-90 is 28 years. How long will it take a 40 mg sample to decay to a mass…

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Q: The half life of carbon-14 is 5730 years. How long will a certain amount of carbon - 14 decay by 90%…

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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: 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: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

Q: A sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

A: sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

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: Find the half-life of radioactive substance Radium-226; A(t) = A0e-0.00043t

A: Given, a radioactive substance such that Radium-226; At=A0e-0.00043t.   To solve this, use the…

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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Q: What is the half-life of a radioactive substance if it takes 5 years for one-third of the material…

A: We have to find half life period

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: The half life of a certain isotope is 6.13 hours. If we have a sample of 5.0 ounces of that isotope,…

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Q: Radioactive radium has a half-life of 1899 years. If 20g of the substance are present initially,…

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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: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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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: 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: 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: An isotope has a half-life of 98 years. How much of a 16-gram sample is left after 150 years?

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Q: The half-life radium-226 is 1622 years. Find its decay constant.

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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: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

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Q: 40 grams of radioactive material decays to 35 grams in 20 years. Find the half-life.

A: In this question we need to find the half life of the given radioactive material

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: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: Radioactive decay

Q: How many half lives must have passed for an isotope with a half life of 10 years to decay from 1600…

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Q: The half-life of strontium-90 is 28 years. How long will it take a 44 mg sample to decay to a mass…

A: We can solve this as follows:

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: A wooden artifact from an archeological dig contains 60 percent of the carbon-14 that is present in…

A: The amount of time taken to decay a substance follows exponential model P(t)=P0ekt. Here P(t)…

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

A: Given the half life of radium is approximately 1690 years. To find: Time required to change radius…

Q: How old is skeleton that has lost 55% of its carbon-14? The half-life of carbon-14 is 5700 years.…

A: Given that The half-life of carbon-14 is 5700 years To find How old is skeleton that has lost 55% of…

Q: Human hair from a grave in Africa proved to have only 91% of the carbon 14 of living tissue. When…

A: Given:

Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.

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

A:

Q: The half-life of strontium-90 is 28 years. How long will it take a 60 mg sample to decay to a mass…

A: This can be solved using the following way....

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: 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 wooden artifact from an archaeological dig contains 90 percent of the Carbon-14 that is present in…

A: Formula used:

Q: The half-life of a radioactive material is about 34.2 years. How much of the material is left after…

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

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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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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.