125
100
its 125
The half-life is 5730. This is because the half-life is the amount of time it takes for half of a sample to decay. In this case, the sample is 100 atoms, and half of 100 is 50, so the amount of time it takes the sample to reach 50 atoms is it's half life...5730!
Atomic decay is a random phenomenon whose distribution is exponential (generally). Thus if the average lifetime is t0 and you wait a time t, the probability that a single atom decay is p=(1-exp(-t/t0)) Thus if you have N atoms, the average number of atoms that decay in the tine t is <N> = N0 (1-exp(-t/t0)) where N0 is the initial number. naturally in a specific experiment the real number of atoms that decay in a time t will not be exactly <N>, this is only the average number over a potentially infinite number of experiments. However, greater N0, more likely the number of atoms observed in a specific experiment will be near to <N>. In your case <N>=188.1 and the expected deviation is of the order of 13, thus the result could fluctuates with high probability between 200 (that is all decay) and 162 (2 sigma point).
The half-life is 5730. This is because the half-life is the amount of time it takes for half of a sample to decay. In this case, the sample is 100 atoms, and half of 100 is 50, so the amount of time it takes the sample to reach 50 atoms is it's half life...5730!
100
its 100
its 125
8.1 days is, if half-life is 2.7 days, 3 half-lives. 12.5%, or 12.5 g, of 79198Au would remain after three half-lives.
700 milliion years. The definition of half-life is the period of time during which one-half of the atoms of an element undergo decay into other elements.
There is no upper limit; when the stopwatch reaches the largest number of seconds it can count, it simply starts over. It is your job to count the number of times it starts over. Most digital stopwatches can time up to 20 hours, resetting after 19:59:59.99.
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