If I take a radioactive sample of 400 moles of an unknown substance and let it decay to the point of three half-lives I would have 50 moles left of the sample. 1/2 of what is left will decay in the next half-life. At the end of that half-life I will have 25 moles left of the unknown substance or 4/25.
12.5%
The decay of a radioactive element is governed by its half-life, which is the time it takes for half of the radioactive atoms in a sample to decay. Different radioactive elements have different half-lives, ranging from microseconds to billions of years. The decay rate is exponential, meaning that the rate of decay decreases over time as the amount of remaining radioactive material decreases.
After 20 minutes, there have been 4 half-lives (20 min / 5 min per half-life). Each half-life reduces the sample by half, so the fraction of the sample left after 20 minutes is (1/2)^4, which is 1/16. Therefore, 1/16 of the original sample is left after 20 minutes.
The half-life of a radioactive substance that decays from 2.4g to 1.8g in 66 hours is 159 hours. AT = A0 2(-T/H) 1.8 = (2.4) 2(-66/H) 0.75 = 2(-66/H) log2(0.75) = log2(2(-66/H)) -0.415 = -66/H H = 159
Half of the original sample of a radio isotope remains after a half-life period. After two half-life periods, one-fourth of the radio isotope remains.
Approx 1/8 will remain.
After 5 half-lives, 3.125% (or 1/2^5) of a radioactive sample remains. Each half-life reduces the sample by half, so after 5 half-lives, there is only a small fraction of the original sample remaining.
After 2 half lives, 25% of the original radioactive sample remains unchanged. This is because half of the sample decays in each half life, so after 1 half life, 50% has decayed, and after 2 half lives, another 50% has decayed, leaving 25% unchanged.
1/8 of the original amount remains.
After three half-lives, only 1/8 (or 12.5%) of the original radioactive sample remains. This is because each half-life reduces the amount of radioactive material by half, so after three half-lives, you would have (1/2) * (1/2) * (1/2) = 1/8 of the original sample remaining.
Not sure what you mean by "had-lives". After 3 half lives, approx 1/8 would remain.
12.5%
The half life of a radioisotope indicates the rate of decay for a radioactive sample
An eighth remains.
The half-life is 4 days. That means half of it will be gone in 4 days, and that leaves half of the original sample. In another 4 days, half of the remaining half will have decayed. And that will leave only 1/4 th of the original sample. That means 3/4 ths of the original sample will have decayed. In 8 days, three fourths of a sample of a radioactive element with a half-life of 4 days will have decayed.
The decay of a radioactive element is governed by its half-life, which is the time it takes for half of the radioactive atoms in a sample to decay. Different radioactive elements have different half-lives, ranging from microseconds to billions of years. The decay rate is exponential, meaning that the rate of decay decreases over time as the amount of remaining radioactive material decreases.
The half-life is the time it takes for half of a radioactive sample to decay. In this case, the sample of nitrogen-16 decays from 100.0 g to 12.5 g, which involves three half-lives (100 g to 50 g, 50 g to 25 g, and 25 g to 12.5 g). Since this decay occurs over 21.6 seconds, we can calculate the half-life by dividing the total time by the number of half-lives: 21.6 s / 3 = 7.2 s. Therefore, the half-life of nitrogen-16 is 7.2 seconds.