Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 11, Problem 18Q
To determine
To Explain:How half-life of radioactive isotope plutonium
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Radioactive isotope Lawrencium-266 has a half-life of 11 days. Suppose a sample of this substance has a mass of 240g.
(a) Find a function m(t)=m,e
that models the mass remaining after t days. (Round r to 3 decimal places.)
(b) Find the mass remaining after three weeks.
(c) How long will it take for the sample to decay to a mass of 30 g? (Round t to the nearest day.)
An unknown radioactive element decays into non-radioactive substances. In 360 days the radioactivity of a
sample decreases by 34 percent.
(a) Find the decay constant k. (Round your answer to 5 decimal places.)
(b) What is the half-life of the element? (Round your answer to two decimal places)
half-life:
(days)
(c) How long will it take for a sample of 100 mg to decay to 59 mg? (Round your answer to two decimal places)
time needed:
(days)
This exercise uses the radioactive decay model.
The half-life of radium-226 is 1600 years. Suppose we have a 29-mg sample.
(a) Find a function m(t) = mo2-t/h that models the mass remaining after t years.
m(t)
1600
29 2
(b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to six decimal places
m(t) =
%3D
(c) How much of the sample will remain after 5000 years? (Round your answer to one decimal place.)
1 mg
(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)
X yr
Chapter 11 Solutions
Inquiry into Physics
Ch. 11 - Prob. 1MACh. 11 - Prob. 1PIPCh. 11 - Prob. 2PIPCh. 11 - Prob. 1MIOCh. 11 - Prob. 1QCh. 11 - Prob. 2QCh. 11 - Prob. 3QCh. 11 - Prob. 4QCh. 11 - Prob. 5QCh. 11 - Prob. 6Q
Ch. 11 - Prob. 7QCh. 11 - Prob. 8QCh. 11 - Prob. 9QCh. 11 - Prob. 10QCh. 11 - Prob. 11QCh. 11 - Prob. 12QCh. 11 - Prob. 13QCh. 11 - Prob. 14QCh. 11 - Prob. 15QCh. 11 - Prob. 16QCh. 11 - Prob. 17QCh. 11 - Prob. 18QCh. 11 - Prob. 19QCh. 11 - Prob. 20QCh. 11 - Prob. 21QCh. 11 - Prob. 22QCh. 11 - Prob. 23QCh. 11 - Prob. 24QCh. 11 - Prob. 25QCh. 11 - Prob. 26QCh. 11 - Prob. 27QCh. 11 - Prob. 28QCh. 11 - Prob. 29QCh. 11 - Prob. 30QCh. 11 - Prob. 31QCh. 11 - Prob. 32QCh. 11 - Prob. 33QCh. 11 - Determine the nuclear composition (number of...Ch. 11 - The isotope helium-6 undergoes beta decay. Write...Ch. 11 - Prob. 3PCh. 11 - A nucleus of oxygen-15 undergoes electron capture....Ch. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - . A Geiger counter registers a count rate of 4,000...Ch. 11 - Prob. 14PCh. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - Prob. 1CCh. 11 - Prob. 2CCh. 11 - Prob. 3CCh. 11 - Prob. 4CCh. 11 - Prob. 5CCh. 11 - Prob. 6CCh. 11 - Prob. 7C
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