Question

An exponential decay function can be used to model the number of grams of a radioactive material that remain after a period of time. Carbon-14 decays over time, with the amount remaining after t years given by y=y 0 e Superscript negative 0.00012378 ty=y0e−0.00012378t, where y0 is the original amount. If the original amount of carbon-14 is 450450 grams, find the number of years until 346346 grams of carbon-14 remain.

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ple 1: The mass of a radioactive substance follows a continuous
exponential decay model, with a decay rate parameter of 8.5% per
day. Find the half - life of this substance (that is, the time it
take for one - half of the original amount in a give sample of this
substance to deca

Carbon-14 is a radioactive isotope of carbon. It decays into
Nitrogen-14 through beta decay, with a
half-life of 5730 years. By comparing the amount of
radioactive Carbon-14 with the amount of stable
Carbon-12 (the most common isotope of carbon), we can
determine the age of an object.
a) How many protons and neutrons are in Carbon-14?
Carbon-12?
b) How many years will it take for an object to lose 87.5% of
its Carbon-14?
c) If 10000 years have passed, what...

The exponential decay function for 80 mg of the radioactive
isotope nitrogen-12 is given by the function below, where t is in
minutes:
y(t)=80e-0.0696t
Find the rate of change of the radioactive isotope after 22
minutes has elapsed. Round answer to 2 decimal
places.
SHOW WORK

(A)This exercise uses the radioactive decay model.
The burial cloth of an Egyptian mummy is estimated to contain 58%
of the carbon-14 it contained originally. How long ago was the
mummy buried? (The half-life of carbon-14 is 5730 years. Round your
answer to the nearest ten years.)
yr
(b)This exercise uses the radioactive decay model.
A wooden artifact from an ancient tomb contains 60% of the
carbon-14 that is present in living trees. How long ago was the
artifact made?...

An experiment is taking place involving an exponentially
decaying radioactive element with a decay factor of 5%. If 34.6
grams of the element are left 4 months after the start of the
experiment,
(a) create a model for the remaining mass of the element M(x) as
a function of months since the start of the experiment. Assume a
basic exponential model of the form M(x) = a·b^x.
(b) determine the mass of the element after 6 months.
(c) determine the...

strontium 90 is a radioactive material that decays
according to the function A(t)=Aoe^0.0244t ,where So is the initial
amount present and A is the amount present at time t (in year).
assume that a scientist has a sample of 800 grams of strontium
90.
a)what is the decay rate of strontium 90?
b)how much strontium 90 is left after 10 years?
c)when Will only 600 grams of strontium 90 be left?
d)what is the half life of strontium 90?

Certain radioactive material decays at a rate proportional to
the amount present. If you currently have 300 gr of the material
and after 2 years it is observed that 14% of the original mass has
disintegrated, find:
a) An expression for the quantity of material at time t.
b) The time necessary for 30 percent to have disintegrated.

Q1. Carbon-14 – or 14C – is a radioactive isotope of carbon with
a half-life of 5,730 years. It decays into nitrogen-14 – or 14N – ,
which is a stable isotope of nitrogen.
(a) Which of the three nuclear decay processes describes the decay?
Explain. (Hint: You can get the atomic number of carbon and
nitrogen from a periodic table.)
(b) Write down the equation for the decay.
(c) What is the decay constant for 14C?
All isotopes of...

Cosmic ray bombardment of the atmosphere produces neutrons,
which in turn react with nitrogen to produce radioactive carbon-14.
Radioactive carbon-14 enters all living tissue through carbon
dioxide (via plants). As long as a plant or animal is alive,
carbon-14 is maintained in the organism at a constant level. Once
the organism dies, however, carbon-14 decays exponentially into
carbon-12. By comparing the amount of carbon-14 to the amount of
carbon-12, one can determine approximately how long ago the
organism died. (Willard...

Carbon 14 is a radioactive isotope of carbon, the most common
isotope of carbon being carbon 12. Carbon 14 is created when cosmic
ray bombardment changes nitrogen 14 to carbon 14 in the upper
atmosphere. The resulting carbon 14 combines with atmospheric
oxygen to form radioactive carbon dioxide, which is incorporated
into plants by photosynthesis. Animals acquire carbon 14 by eating
plants. When an animal or plant dies, it ceases to take on carbon
14, and the amount of isotope...

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