0
The generalized exponential half-life equation is ...
AT = A0 2(-T/H)
... where A0 is the initial activity, AT is the final activity at time T, and H is the half-life in units of time T.
Example using the specific question, for an elapsed time of 50 days, is ...
A50 = (381) 2(-50/75) = 240
What else can I help you with?
What does the variable N represent in the equation for exponential decay function in any radioactive element?
In the equation for the exponential decay function of a radioactive element, the variable ( N ) typically represents the quantity of the radioactive substance remaining at a given time. It may refer to the number of undecayed nuclei, the mass of the radioactive material, or the concentration, depending on the context. The decay process is described by the equation ( N(t) = N_0 e^{-\lambda t} ), where ( N_0 ) is the initial quantity and ( \lambda ) is the decay constant.
If there is 520 grams of radioactive material with a half-life of 12 hours how much of the radioactive material will be left after 72 hours and is the radioactive decay modeled by a linear function or?
After 72 hours, which is six half-lives (72 hours ÷ 12 hours), the amount of radioactive material remaining can be calculated using the formula ( \text{Remaining} = \text{Initial} \times \left(\frac{1}{2}\right)^{n} ), where ( n ) is the number of half-lives. Thus, ( 520 \times \left(\frac{1}{2}\right)^{6} = 520 \times \frac{1}{64} = 8.125 ) grams. Radioactive decay is modeled by an exponential function, not a linear function, as the amount decreases by half with each half-life rather than by a constant amount.
What general pattern is found on a graph of radioactive decay?
A general pattern found on a graph of radioactive decay is that the number of radioactive atoms decreases exponentially over time. The graph typically shows a steep initial drop followed by a gradual decrease as the radioactive material decays.
How does the length of the half-life of the element correspond to the radioactivity of the element?
The length of time required for half of a sample of radioactive material to decay
How fast a radioactive element decays is given by is what?
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.
How do scientists use the halflife of radioactive isotopes to date rocks and fossils?
The basic idea is to compare the abundance of a naturally occurring radioactive isotope within a material to the abundance of its decay products; it is known how fast the radioactive isotope decays.
What is halflife about?
Half-life is the time it takes for one half of the radioactive material to decay. It is logarithmic, so after two half-lives, one quarter remains - then one eighth - etc.
What is the halflife of an M16?
Of course, "halflife" is not the correct term to use in this context, so I am supposing that you are asking how long as in "how many years of use" or "how many rounds fired" can you expect an M16 to function. This is also called "service life". The answer depends entirely on how the machine is treated. If it is properly cleaned and has minor parts replaced as they wear and break, the rifle will last for many years and/or many tens of thousands of rounds. You can research the endurance testing that the US Army has employed to determine the tolerance to hard use. "Halflife" refers to radioactive material and is the amount of time required for half of the material to decay.
Does the amount of radiation you give off depend on what is inside of you?
Yes. Radiation is emanated from radioactive material, so the amount of radiation that someone "gives off" is a function of how much radioactive material they have inside them.
What general pattern is found on a graph of radioactive decay?
A general pattern found on a graph of radioactive decay is that the number of radioactive atoms decreases exponentially over time. The graph typically shows a steep initial drop followed by a gradual decrease as the radioactive material decays.
What is the relationship between time and the decay of radioactive substances as shown in the graph of radioactive decay?
The relationship between time and the decay of radioactive substances is shown in a graph of radioactive decay by demonstrating how the amount of radioactive material decreases over time. This decay occurs at a consistent rate, known as the half-life, which is the time it takes for half of the radioactive material to decay. The graph typically shows a gradual decrease in the amount of radioactive substance as time progresses, following an exponential decay curve.
Can radioactive be recycled?
Yes, there are a number of uses for radioactive material. It depends on the type of radioactive material.
Sample problem for exponential decay?
A common example of exponential decay is radioactive decay. Radioactive materials, and some other substances, decompose according to a formula for exponential decay.That is, the amount of radioactive material A present at time t is given by the formulaA=A0ektwhere k < 0.A radioactive substance is often described in terms of its half-life, which is the time required for half the material to decompose.
How does the length of the half-life of the element correspond to the radioactivity of the element?
The length of time required for half of a sample of radioactive material to decay
What is the definition of exponential decay in algebra?
f(t) = a + b*c-t, where a, b c are constants and t is a non-negative variable, is the general form of a function describing exponential decay. t is usually a variable related to time.The value of the function starts off f(0) = a + b and decreases (decays) towards f(t) = a.In some cases, such as radio active decay or a population extinction, a is zero so the amount of radioactive material left or surviving individuals decreases to zero.
What is defreent between radioactve and nuclear material?
Radioactive material refers to substances that emit radiation spontaneously, while nuclear material is any material that can undergo nuclear reactions such as fission or fusion. Essentially, all radioactive material is nuclear material, but not all nuclear material is necessarily radioactive.
What is the name for the emission of rays and particles by a radioactive material?
The name for the emissions of rays and particles by a radioactive material are called radioactive decay. There are many different types of radioactive decay that emit different rays and particles.
