Depends on how many grams you started with, but obviously if half decays, half is left.
This can't be answered without knowing the original mass. However there will be one eighth of what you started with.
1 billion years.
Of course, 50 %.
That depends on the "half-life" of that particular radioactive element, which the question forgot to state. They're all different. Various radioactive elements have half-lives ranging from microseconds to millions of years.
Just divide the original amount by 2, 4 times: 10; 5; 2.5; 1.25. The final number is the answer.
The half life is the time it takes for half the atoms in a given sample to decompose. Knowing this then after 27 days there is half the amount left. After 54 days then there is half that half left so that's a quarter.
Only 1/32 of the original radioactive material will remain. (½)5 = 1/32
By observing how much decays in a few days, or in a year, and extrapolating.
1/16 of the original sample of any unstable element remains after 4 half lives.
Darmstadtium is an artificial chemical element, obtained only in quantities of some atoms with very short half lives.
That depends on the "half-life" of that particular radioactive element, which the question forgot to state. They're all different. Various radioactive elements have half-lives ranging from microseconds to millions of years.
2.66666666666667 grams
2.5
Just divide the original amount by 2, 4 times: 10; 5; 2.5; 1.25. The final number is the answer.
After 10 half lives, only ( \left(\frac{1}{2}\right)^{10} = \frac{1}{1024} ) or approximately 0.098% of the original amount of C14 would be left.
The half life is the time it takes for half the atoms in a given sample to decompose. Knowing this then after 27 days there is half the amount left. After 54 days then there is half that half left so that's a quarter.
1.875g
A half-life is the amount of time it takes for half of the material to decay. So if you started with 80g After 1 half-life you would have 40 g After 2 half-lives you would have 20 g After three half-lives you would have 10 g
Half life is pretty much self explanatory in that after they go through 1 half life half of the radioactive decay remains. 1/2 x 1/2 x 1/2 = 1/8 = 0.125 = 12.5% or you can divide 100% by 2, 3 times and you'll get 12.5%
54 days is 2x27. After one cycle of a half life (27 days), one-half of the substance would be left. After a second cycle of a half life (27 more days, for a total of 54), one-half of one-half is left, or one-fourth.