Strontium-90 90 Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with 90 Sr . if 10 μg (micrograms) of 90 Sr is present in a sample, the function A t = 10 1 2 t / 28.9 gives the amount A t in μg present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5) a . A 28.9 b . A 57.8 c . A 100
Strontium-90 90 Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with 90 Sr . if 10 μg (micrograms) of 90 Sr is present in a sample, the function A t = 10 1 2 t / 28.9 gives the amount A t in μg present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5) a . A 28.9 b . A 57.8 c . A 100
Solution Summary: The author calculates the remaining amounts of the radioactive element after different values of time t using the equation.
Strontium-90
90
Sr
is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with
90
Sr
. if
10
μg
(micrograms) of
90
Sr
is present in a sample, the function
A
t
=
10
1
2
t
/
28.9
gives the amount
A
t
in μg
present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5)
Radon-222 has a half-life of 4.00 days. Given its mass 5.937 gram at a certain time,
what was the sample's mass (in gram) before 0.786 month?
1 month is about 30.5 days.
Radioactive cesium-137 has a half-life of 30.17 years. How much of an initial amount of 1,000 kilograms of cesium-137 will remain after 100 years?
An archaeological sample contains 0.622 g of lead-206 and 2.198 g of uranium-238. Assume that all the lead now present in the rock came from the radioactive decay of the
uranium and that no appreciable amounts of other radioactive nuclides are present in the sample. The decay rate constant for the uranium is 1.54 x 10-10
of the sample?
year. What is the age
O a.9.1 x 109 years
O b.7
7.98 x 108 years
OC 1.84 × 109 years
O d. 7.26 x 109 years
O e. none of these
University Calculus: Early Transcendentals (3rd Edition)
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