Uranium 235 is used as fuel for some nuclear reactors. It has a half-life of 710 million years. How long will it take 10 grams of uranium 235 to decay to 1 gram?

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

A: Solution

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

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: The isotope cesium-137 has a half-life of 29.75 years. How long will it take a 100 gram sample of…

A: To determine the time taken for 100 gram sample of cesium-137 to decay to 75 grams.

Q: A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 80% of the…

A: Given that: Half life, t1/2=38 hr

Q: How much of a 500g sample of potassium-42 is left after 62 hours if the half life of potassium-42 is…

A:

Q: The half-life of a radioactive substance is 15 days. If we started with 20 g, how much of the…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: for the half-life, use the formula y=a0.5tp here initial amount is a=300 mg and the half-life is…

Q: The radioactive element polonium-210 has a half-life of 138 days. If you have 100 micrograms of…

A: The half-life equation for radioactive decay is:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Given: The half - life of Radium - 226 is 1590 years.  A sample contains 300 mg.  To find: Amount of…

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

A: The formula to find the amount of remaining radioactive material is given by the expression: An =…

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

A:

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

A:

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

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: A hospital prepares a 200 mg supply of molybdenum-99 which has a half-life of 66 hours. How much…

A:

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-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

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 radium is 1620 years. If a laboratory has 12g of radium, how long will it take…

A:

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

A: Given that - Half Life = t12 = 1590 years.Formula for half life - t12 = ln2kk = ln2t12where,k = rate…

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

A:

Q: The half-life of Strontium-90 is 28.79 years. If a sample contains 490 mg, how many mg will remain…

A: Given half life is 28.79 years Initial mass =490mg To calculate mass after 180 years.

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

A:

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: 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: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

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

A:

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

A:

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: Strontium-90 has a half-life of 25 years. How many years would it take 10 grams of strontium-90 to…

A:

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

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

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

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: To find the remaining amount after 4000 years.

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…

A:

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 Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A:

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

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: A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present…

A:

Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

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

A:

Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A:

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.

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

A:

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.