= 0.693 / T1/2 Nt = N0e(-lt)
where N0 is the starting number of nuclei, Nt is the number of nuclei remaining after timet, l is the decay constant, and e = 2.718. The units for the decay constant would be s-1 (or sometimes expressed in disintegrations per second) if the half-life is expressed in seconds. This relationship expresses radioactive decay based on statistics and probability, from an examination of the behaviour of a large number of individual situations. Note that it does not give any indication when a particular nucleus will undergo decay, but only the amount of time needed for a certain proportion of the nuclei in the sample to decay.
The formula for finding the amount of radio active substance that remainsafter decomposition is A = N(1/2) ^y, where A is the mass remaining, N is the original mass of a radioactive sample and y is the number of half life. In this case, N = 10 g and y = 6/2 = 3. So A is given by 10 x (1/2)^3, which is 10 x 1/2 x1/2 x 1/2 = 1.25 grams.
Half-life is an inverse exponential based 2 function, such that after successive half-lives, there are 0.5, 0.25, 0.125, 0.0625, etc. of the original sample remaining. From the question, the number of half-lives can be determined by inspection as 3, thus the half-life, if the total period is 24 days, must therefore be 8 days. Confirming, from the NNDC database at Brookhaven National Laboratories, the half-life of 53131I is 8.0252 days, by beta- decay. For more information, please see the Related Link below. Formally, the equation for half-life is ... AT = A0 2(-T/H) ... where A0 is the starting activity, AT is the ending activity at time T, and H is the half-life in units of T.
The half-life of the Earth's magnetic field is estimated to be around 1,000 years. This means that the strength of the magnetic field decreases by half every 1,000 years. The field is generated by the motion of molten iron in the Earth's outer core.
After the first half-life, you will have one half of the starting amount. After a second half-life period, you'll be down to one quarter. Of the part that radioactively decays, about 11% of it will decay to 40Ar, and the remainder to 40Ca. Of your total sample of ordinary potassium, only 0.012% will be 40K. The half-life of 40K is about 1.3x109 years.
Plutonium has 20 isotopes; each isotope has another half-life. Please read: http://en.wikipedia.org/wiki/Isotopes_of_plutonium.
c.half-life
The formula is Sodium-55. It is a radioisiotpe with half life 7.3 seconds.
The formula for calculating the half-life of a radioactive substance is t1/2 = (ln(2) / λ), where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant. For protactinium-234, the decay constant (λ) is 2.53 x 10^-6 per year. Plug in this value into the formula to calculate the half-life of protactinium-234.
Yes, the period of an element is the time it takes for half of a radioactive isotope to decay, also known as the half-life. During this time, half of the radioactive atoms in a sample will undergo radioactive decay, transforming into different elements or isotopes.
No, the length of time required for half of the radioactive atoms in a sample to decay is its half-life, not period. The half-life is the amount of time it takes for half of the radioactive atoms in a sample to undergo radioactive decay. Period typically refers to the time it takes for a complete cycle of a repeating event.
A half life means the time required for something to fall to half its initial value. The original term was used by Ernest Rutherford's discovery of the principle in 1907 as "half life period," but was shortened to "half life," in the 1950's.
The half life of neptunium-238 is 2,117 days.
The half life is the period of time it takes radioactive decay to transmute one half of the isotope present at the start of the period to a different isotope, usually an isotope of a different element. This period of time is different for different isotopes, with known isotope half lives ranging from femtoseconds to many billions of years.
The half-life is a fixed period of time: the average time it will take for one of every two atoms to decay to another isotope or element. So no matter how much of a given radioactive isotope that you start with, only one-half of it will still be that isotope after a single half-life period. Likewise only half of that remaining material will be the same isotope after another half-life period. Of course, some of the atoms will be decaying all the time, so the half-life is only a convenient way to define the quantity at any given time.
The half-life is a fixed period of time: the average time it will take for one of every two atoms to decay to another isotope or element. So no matter how much of a given radioactive isotope that you start with, only one-half of it will still be that isotope after a single half-life period. Likewise only half of that remaining material will be the same isotope after another half-life period. Of course, some of the atoms will be decaying all the time, so the half-life is only a convenient way to define the quantity at any given time.
i guess it's Tellurium 128, with a half life of 2.2e24; you may consider it a stable isotope as well.
The half-life is a fixed period of time: the average time it will take for one of every two atoms to decay to another isotope or element. So no matter how much of a given radioactive isotope that you start with, only one-half of it will still be that isotope after a single half-life period. Likewise only half of that remaining material will be the same isotope after another half-life period. Of course, some of the atoms will be decaying all the time, so the half-life is only a convenient way to define the quantity at any given time.