Question

Given the fact that the lifetime of ^{14}C, the
radioactive isotope of carbon, is approximately 8267 years,
calculate how much time would pass before only 81.1% of the initial
amount of the ^{14}C remains. (Note: the lifetime = half
life/ln (2) = half life/0.6931. The half life of ^{14}C is
5730 years.)

Decay Time (in years):

Answer #1

Given the fact that the lifetime of 14C, the radioactive isotope of carbon, is approximately 8267 years, calculate how much time would pass before only 35% of the initial amount of the 14C remains. (Note: the lifetime = half life/ln (2) = half life/0.6931. The half life of 14C is 5730 years.)

Decay Time (in years):

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...

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...

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 radioactive isotope 14C is produced in the earth’s
atmosphere by bombardment of nitrogen by cosmic rays. The 14C
enters living organisms, where the ratio of 14C to 12C is the same
as in the atmosphere, about . After 1.20×10―12an organism dies, the
14C decays with a half-life of 5730 years. The mass of a neutral
12C atom is 1.993kg.×10―26
(a) A tapestry is determined by mas spectroscopy to contain a
ratio of 14C to 12C of . How old...

The half-life of a radioactive isotope represents the average
time it would take half of a collection of this type of nucleus to
decay. For example, you start with a sample of 1000 Oxygen-15 (15O)
nuclei, which has a half-life of 122 seconds. After 122 seconds,
half of the 15O nuclei will have decayed into Nitrogen-15 (15N)
nuclei. After another 122s, half of the remaining Oxygen nuclei
will have also decayed, and so on. Suppose you start with 4.00×103
15O...

The radioactive isotope thorium 234 has a half-life of
approximately 578 hours.
If a sample has an initial mass of 64 mg, a function that models
the mass in mg after t hours is a(t) =
The initial mass will decay to 12 mg after ______ hours
Radioactive decay equation:
a(t) = a0⋅2 ^ (−t / h)
a0 = starting amount
a(t) = amount after t hours
h = half life in hours

The radioactive 14C in living organisms results in an activity
of 15.3 disintegrations per minute per gram (d/min·g) of carbon. If
a piece of leather uncovered by an archeologist is measured to have
9.0 d/min·g, what is the approximate age of the leather? The
half-life of 14C is 5730 years.

The radioactive isotope 234Pa has a half-life of 6.70
h. A sample containing this isotope has an initial activity
(t = 0) of 35.0µCi. Calculate the number of nuclei that
decay in the time interval between t1 = 7.0 h
and t2 = 14.0 h.
___________ Nuclei

The
radioactive isotope Gold-198 has a half-life of 64.80 hrs. A sample
containing this isotope has an initial activity of 40.0 μCi.
Calculate the number of nuclei that will decay in the time interval
from 10 hrs to 12 hrs.[10 marks]

The radioactive isotope which is often used for diagnosis and
imaging in nuclear medicine has a half-life of 3 days. What was the
initial mass of the isotope before decay, if the mass in 6 weeks
was 5g?

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