After one half-life, half of the original amount of Uranium-235 would remain. After four half-lives, only ( \frac{1}{2^4} ) or ( \frac{1}{16} ) of the original amount would be left. Therefore, if you started with 100 grams of Uranium-235, 6.25 grams would remain after four half-lives.
After the second half-life of uranium, half of the original amount will remain. Therefore, if you start with 80 grams of uranium, after one half-life you would have 40 grams remaining, and after the second half-life, you would have 20 grams.
After each half-life, the number of undecayed nuclei is halved. Starting with 600 nuclei, after one half-life, 300 would remain; after the second half-life, 150 would remain; and after the third half-life, 75 would remain. Thus, after three half-lives, 75 undecayed headsium nuclei would remain in the sample.
The half-life of uranium-235 is approximately 703.8 million years, while the half-life of uranium-238 is approximately 4.5 billion years.
Uranium-238 has a half-life of about 4.5 billion years. The Earth is estimated to be about 4.5 billion years old, so if uranium-238 crystallized at the same time the Earth formed, it would have undergone approximately one half-life since then. This means that about half of the original amount of uranium-238 would remain today.
The half-life of cesium-137 is approximately 30.1 years, not 2 years. After one half-life, 5 G of the original 10 G sample would remain. After two half-lives (about 60.2 years), 2.5 G would remain, and so on. If you meant a hypothetical isotope with a 2-year half-life, after 2 years, 5 G would remain, and after 4 years, 2.5 G would remain.
Half life is the time taken for half the atoms to decay. Whatever mass you start with, if it is a sample consisting of one pure uranium isotope, you will have half that mass of uranium after one half life. The piece of metal will not weigh half of the original mass, because the decay products will be there. In practice, a piece of uranium usually consists of a mixture of isotopes with different half lives.
This affirmation is not correct; the half lives are different.
After the second half-life of uranium, half of the original amount will remain. Therefore, if you start with 80 grams of uranium, after one half-life you would have 40 grams remaining, and after the second half-life, you would have 20 grams.
After each half-life, the number of undecayed nuclei is halved. Starting with 600 nuclei, after one half-life, 300 would remain; after the second half-life, 150 would remain; and after the third half-life, 75 would remain. Thus, after three half-lives, 75 undecayed headsium nuclei would remain in the sample.
After 3 half-lives, half of the original sample would remain unchanged. After the 1st half-life: 300 unchanged atoms. After the 2nd half-life: 150 unchanged atoms. After the 3rd half-life: 75 unchanged atoms would remain.
The half-life of uranium-235 is approximately 703.8 million years, while the half-life of uranium-238 is approximately 4.5 billion years.
Uranium-238 has a half-life of about 4.5 billion years. The Earth is estimated to be about 4.5 billion years old, so if uranium-238 crystallized at the same time the Earth formed, it would have undergone approximately one half-life since then. This means that about half of the original amount of uranium-238 would remain today.
12.5 %
1 ounce and three large testes
After 5 half-lives, 3.125% of the original carbon-14 would remain. Each half-life reduces the amount by half, so after 5 half-lives, it would be reduced by a factor of 2^5 = 32.
After 36,109 years, approximately half of the uranium-238 would have decayed into other isotopes. Uranium-238 has a half-life of about 4.5 billion years, so after 36,109 years, you would be left with roughly 1/2^8000 (the number of half-lives) of the original 1000 kg. This would be an extremely small fraction, close to zero.
The half-life of cesium-137 is approximately 30.1 years, not 2 years. After one half-life, 5 G of the original 10 G sample would remain. After two half-lives (about 60.2 years), 2.5 G would remain, and so on. If you meant a hypothetical isotope with a 2-year half-life, after 2 years, 5 G would remain, and after 4 years, 2.5 G would remain.